> On Sep 7, 2015, at 9:35 PM, Gideon Simpson <[email protected]> wrote: > > Alright, I’ll take another look at what has been implemented in my Jacobian > file. One thing I’m a bit unclear about is do I need these -snes_mf and > snes_mf_operator flags if I have, coded in, > > SNESSetJacobian(snes,NULL,NULL,form_function_jacobian, ctx);
Gideon, In your case the DM creates that Jacobian matrix object and form_function_jacobian's job is just to fill it up with the correct values for the current solution value. If you use -snes_mf_operator then SNES uses a matrix-free multiple for the first matrix and your Jacobian to build the preconditioner. With -snes_mf it uses a matrix-free multiple for the first and second matrix and ignores what you compute. Since it is matrix free in both it cannot build a preconditioner hence the -pc_type none Using -snes_mf and -snes_mf_operator are a way of testing if the Jacobian you provide is correct Barry > > > -gideon > >> On Sep 7, 2015, at 10:27 PM, Barry Smith <[email protected]> wrote: >> >> >> If the Jacobian you provide is correct then using -snes_mf with a PC type of >> LU should give two iterations (or at most three) to get very good (10^-12) >> convergence of the linear system. Here you are not getting that after a few >> SNES iterations. So I am strongly leaning to something wrong with the >> Jacobian you provide. -snes_type test unfortunately doesn't catch all >> problems. >> >> You can try -snes_mf -pc_type none and see how the linear solver converges. >> >> >> Barry >> >> >> >>> On Sep 7, 2015, at 9:16 PM, Gideon Simpson <[email protected]> wrote: >>> >>> Off the top of my head, I can’t rule out a null space in this problem. I >>> thought I did a pretty good job of coding the Jacobian by hand. And before >>> I made that change to the Jacobian file, changing J for Jpre, if I ran with >>> -snes_check_jacobian, it appeared to be satisfactory. >>> >>> When I run with -ksp_type fgmres, I get >>> >>> 0 SNES Function norm 3.857327250267e-09 >>> 0 KSP unpreconditioned resid norm 3.857327250267e-09 true resid norm >>> 3.857327250267e-09 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 4.490987252203e-13 true resid norm >>> 4.490987252203e-13 ||r(i)||/||b|| 1.164274369485e-04 >>> 2 KSP unpreconditioned resid norm 7.379711327483e-17 true resid norm >>> 5.151515251741e-13 ||r(i)||/||b|| 1.335514183139e-04 >>> 1 SNES Function norm 2.479697868412e-12 >>> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1 >>> 0 SNES Function norm 5.066222213176e+03 >>> 0 KSP unpreconditioned resid norm 5.066222213176e+03 true resid norm >>> 5.066222213176e+03 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 8.556950606195e-03 true resid norm >>> 8.556950606090e-03 ||r(i)||/||b|| 1.689019992814e-06 >>> 1 SNES Function norm 8.484696862318e+02 >>> 0 KSP unpreconditioned resid norm 8.484696862318e+02 true resid norm >>> 8.484696862318e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 1.384145175257e-01 true resid norm >>> 1.384145175257e-01 ||r(i)||/||b|| 1.631343108325e-04 >>> 2 KSP unpreconditioned resid norm 1.495757031958e-04 true resid norm >>> 1.605753181683e-01 ||r(i)||/||b|| 1.892528640374e-04 >>> 2 SNES Function norm 6.551139809777e+02 >>> 0 KSP unpreconditioned resid norm 6.551139809777e+02 true resid norm >>> 6.551139809777e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 5.699223578306e-02 true resid norm >>> 5.699223578306e-02 ||r(i)||/||b|| 8.699590825096e-05 >>> 2 KSP unpreconditioned resid norm 1.336876642454e-05 true resid norm >>> 6.919655452070e-02 ||r(i)||/||b|| 1.056252141306e-04 >>> 3 SNES Function norm 5.771483337231e+02 >>> 0 KSP unpreconditioned resid norm 5.771483337231e+02 true resid norm >>> 5.771483337231e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 4.809574952128e-02 true resid norm >>> 4.809574952128e-02 ||r(i)||/||b|| 8.333342870631e-05 >>> 2 KSP unpreconditioned resid norm 7.460582114169e-05 true resid norm >>> 6.436764219063e-02 ||r(i)||/||b|| 1.115270346107e-04 >>> 4 SNES Function norm 5.237540245670e+02 >>> 0 KSP unpreconditioned resid norm 5.237540245670e+02 true resid norm >>> 5.237540245670e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 5.634190283952e-02 true resid norm >>> 5.634190283952e-02 ||r(i)||/||b|| 1.075732122271e-04 >>> 2 KSP unpreconditioned resid norm 1.087123509737e-04 true resid norm >>> 6.710344480682e-02 ||r(i)||/||b|| 1.281201511765e-04 >>> 5 SNES Function norm 4.753058321803e+02 >>> 0 KSP unpreconditioned resid norm 4.753058321803e+02 true resid norm >>> 4.753058321803e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 7.480046646239e-02 true resid norm >>> 7.480046646239e-02 ||r(i)||/||b|| 1.573733402750e-04 >>> 2 KSP unpreconditioned resid norm 1.930291355515e-04 true resid norm >>> 8.744803271470e-02 ||r(i)||/||b|| 1.839826629384e-04 >>> 6 SNES Function norm 4.221482124411e+02 >>> 0 KSP unpreconditioned resid norm 4.221482124411e+02 true resid norm >>> 4.221482124411e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 1.021730633747e-01 true resid norm >>> 1.021730633747e-01 ||r(i)||/||b|| 2.420312590781e-04 >>> 2 KSP unpreconditioned resid norm 1.424059347969e-04 true resid norm >>> 1.186664050361e-01 ||r(i)||/||b|| 2.811012851384e-04 >>> 7 SNES Function norm 3.803620028964e+02 >>> 0 KSP unpreconditioned resid norm 3.803620028964e+02 true resid norm >>> 3.803620028964e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 2.347601667746e-01 true resid norm >>> 2.347601667746e-01 ||r(i)||/||b|| 6.172019418000e-04 >>> 2 KSP unpreconditioned resid norm 1.585189594479e-03 true resid norm >>> 2.804292032643e-01 ||r(i)||/||b|| 7.372692359618e-04 >>> 8 SNES Function norm 3.769519577570e+02 >>> 0 KSP unpreconditioned resid norm 3.769519577570e+02 true resid norm >>> 3.769519577570e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 2.473450825400e+00 true resid norm >>> 2.473450825400e+00 ||r(i)||/||b|| 6.561713699852e-03 >>> 2 KSP unpreconditioned resid norm 1.512219713818e-02 true resid norm >>> 2.900441161617e+00 ||r(i)||/||b|| 7.694458410235e-03 >>> 3 KSP unpreconditioned resid norm 9.156193230828e-04 true resid norm >>> 2.963280717470e+00 ||r(i)||/||b|| 7.861162825903e-03 >>> 9 SNES Function norm 3.766389203406e+02 >>> 0 KSP unpreconditioned resid norm 3.766389203406e+02 true resid norm >>> 3.766389203406e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 3.885345065329e+00 true resid norm >>> 3.885345065329e+00 ||r(i)||/||b|| 1.031583528812e-02 >>> 2 KSP unpreconditioned resid norm 1.541366781733e-03 true resid norm >>> 4.481523065039e+00 ||r(i)||/||b|| 1.189872533881e-02 >>> 10 SNES Function norm 3.751822489648e+02 >>> 0 KSP unpreconditioned resid norm 3.751822489648e+02 true resid norm >>> 3.751822489648e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 5.504123802743e-01 true resid norm >>> 5.504123802743e-01 ||r(i)||/||b|| 1.467053363513e-03 >>> 2 KSP unpreconditioned resid norm 3.266605004942e-03 true resid norm >>> 6.521599031098e-01 ||r(i)||/||b|| 1.738248291089e-03 >>> 11 SNES Function norm 3.737189963925e+02 >>> 0 KSP unpreconditioned resid norm 3.737189963925e+02 true resid norm >>> 3.737189963925e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 7.988643057771e+00 true resid norm >>> 7.988643057771e+00 ||r(i)||/||b|| 2.137606901143e-02 >>> 2 KSP unpreconditioned resid norm 4.764871173758e-03 true resid norm >>> 9.352795885660e+00 ||r(i)||/||b|| 2.502627903837e-02 >>> 3 KSP unpreconditioned resid norm 3.282807486232e-04 true resid norm >>> 9.151099849649e+00 ||r(i)||/||b|| 2.448657932292e-02 >>> 12 SNES Function norm 3.737110331594e+02 >>> 0 KSP unpreconditioned resid norm 3.737110331594e+02 true resid norm >>> 3.737110331594e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 3.129801991140e-01 true resid norm >>> 3.129801991140e-01 ||r(i)||/||b|| 8.374925312429e-04 >>> 2 KSP unpreconditioned resid norm 1.125627067813e-03 true resid norm >>> 3.626216163131e-01 ||r(i)||/||b|| 9.703262257137e-04 >>> 13 SNES Function norm 3.684175513154e+02 >>> 0 KSP unpreconditioned resid norm 3.684175513154e+02 true resid norm >>> 3.684175513154e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 1.242155815449e-01 true resid norm >>> 1.242155815449e-01 ||r(i)||/||b|| 3.371597827014e-04 >>> 2 KSP unpreconditioned resid norm 2.368849704689e-04 true resid norm >>> 1.448989111108e-01 ||r(i)||/||b|| 3.933007822060e-04 >>> 14 SNES Function norm 3.509930783933e+02 >>> 0 KSP unpreconditioned resid norm 3.509930783933e+02 true resid norm >>> 3.509930783933e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 1.839683743117e-02 true resid norm >>> 1.839683743118e-02 ||r(i)||/||b|| 5.241367583483e-05 >>> 2 KSP unpreconditioned resid norm 7.044153843783e-06 true resid norm >>> 2.242253151407e-02 ||r(i)||/||b|| 6.388311591987e-05 >>> 15 SNES Function norm 3.162121096565e+02 >>> 0 KSP unpreconditioned resid norm 3.162121096565e+02 true resid norm >>> 3.162121096565e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 2.154093218732e-02 true resid norm >>> 2.154093218732e-02 ||r(i)||/||b|| 6.812178132811e-05 >>> 2 KSP unpreconditioned resid norm 2.294811898520e-06 true resid norm >>> 2.535893281680e-02 ||r(i)||/||b|| 8.019595721477e-05 >>> 16 SNES Function norm 2.890165052818e+02 >>> 0 KSP unpreconditioned resid norm 2.890165052818e+02 true resid norm >>> 2.890165052818e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 6.746945848272e-02 true resid norm >>> 6.746945848272e-02 ||r(i)||/||b|| 2.334450014089e-04 >>> 2 KSP unpreconditioned resid norm 6.877255989792e-05 true resid norm >>> 7.701022876470e-02 ||r(i)||/||b|| 2.664561620438e-04 >>> 17 SNES Function norm 2.816929421445e+02 >>> 0 KSP unpreconditioned resid norm 2.816929421445e+02 true resid norm >>> 2.816929421445e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 4.895856197699e-01 true resid norm >>> 4.895856197699e-01 ||r(i)||/||b|| 1.738011666329e-03 >>> 2 KSP unpreconditioned resid norm 1.103295403077e-02 true resid norm >>> 5.924581730391e-01 ||r(i)||/||b|| 2.103205598723e-03 >>> 3 KSP unpreconditioned resid norm 8.552844644077e-05 true resid norm >>> 6.041340389186e-01 ||r(i)||/||b|| 2.144654510401e-03 >>> 18 SNES Function norm 2.814407559738e+02 >>> 0 KSP unpreconditioned resid norm 2.814407559738e+02 true resid norm >>> 2.814407559738e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 1.709056815086e-01 true resid norm >>> 1.709056815086e-01 ||r(i)||/||b|| 6.072527801359e-04 >>> 2 KSP unpreconditioned resid norm 7.267004791015e-04 true resid norm >>> 2.045719509609e-01 ||r(i)||/||b|| 7.268739392527e-04 >>> 19 SNES Function norm 2.810261821835e+02 >>> 0 KSP unpreconditioned resid norm 2.810261821835e+02 true resid norm >>> 2.810261821835e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 6.414127232289e-02 true resid norm >>> 6.414127232290e-02 ||r(i)||/||b|| 2.282394893762e-04 >>> 2 KSP unpreconditioned resid norm 1.134804652646e-04 true resid norm >>> 7.350062521045e-02 ||r(i)||/||b|| 2.615436919058e-04 >>> 20 SNES Function norm 2.755723672077e+02 >>> 0 KSP unpreconditioned resid norm 2.755723672077e+02 true resid norm >>> 2.755723672077e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 6.096136080591e+00 true resid norm >>> 6.096136080591e+00 ||r(i)||/||b|| 2.212172483896e-02 >>> 2 KSP unpreconditioned resid norm 9.111133958404e-01 true resid norm >>> 6.649792338356e+00 ||r(i)||/||b|| 2.413083868218e-02 >>> 3 KSP unpreconditioned resid norm 1.910677194353e-01 true resid norm >>> 6.843103003287e+00 ||r(i)||/||b|| 2.483232652325e-02 >>> 4 KSP unpreconditioned resid norm 4.788261382489e-02 true resid norm >>> 6.760631408983e+00 ||r(i)||/||b|| 2.453305270585e-02 >>> 5 KSP unpreconditioned resid norm 1.390068885512e-02 true resid norm >>> 6.776042197126e+00 ||r(i)||/||b|| 2.458897554129e-02 >>> 6 KSP unpreconditioned resid norm 2.384477406046e-03 true resid norm >>> 6.655789279547e+00 ||r(i)||/||b|| 2.415260044753e-02 >>> 21 SNES Function norm 2.755720389981e+02 >>> 0 KSP unpreconditioned resid norm 2.755720389981e+02 true resid norm >>> 2.755720389981e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 5.357900039856e+00 true resid norm >>> 5.357900039856e+00 ||r(i)||/||b|| 1.944282903060e-02 >>> 2 KSP unpreconditioned resid norm 5.929328578269e-01 true resid norm >>> 5.798140540809e+00 ||r(i)||/||b|| 2.104038044603e-02 >>> 3 KSP unpreconditioned resid norm 1.086022506600e-01 true resid norm >>> 5.986795329019e+00 ||r(i)||/||b|| 2.172497380643e-02 >>> 4 KSP unpreconditioned resid norm 1.109330548287e-02 true resid norm >>> 5.917768589366e+00 ||r(i)||/||b|| 2.147448852532e-02 >>> 5 KSP unpreconditioned resid norm 3.644882603935e-03 true resid norm >>> 6.000976794018e+00 ||r(i)||/||b|| 2.177643572198e-02 >>> 6 KSP unpreconditioned resid norm 3.950365335797e-04 true resid norm >>> 5.979808554437e+00 ||r(i)||/||b|| 2.169962009272e-02 >>> 22 SNES Function norm 2.755716464881e+02 >>> 0 KSP unpreconditioned resid norm 2.755716464881e+02 true resid norm >>> 2.755716464881e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 4.907844411256e+00 true resid norm >>> 4.907844411256e+00 ||r(i)||/||b|| 1.780968569808e-02 >>> 2 KSP unpreconditioned resid norm 2.044873964073e-01 true resid norm >>> 5.843433224469e+00 ||r(i)||/||b|| 2.120476942726e-02 >>> 3 KSP unpreconditioned resid norm 4.734069809407e-02 true resid norm >>> 5.888726835640e+00 ||r(i)||/||b|| 2.136913180542e-02 >>> 4 KSP unpreconditioned resid norm 2.325616228250e-03 true resid norm >>> 5.877722539415e+00 ||r(i)||/||b|| 2.132919919129e-02 >>> 23 SNES Function norm 2.755713163168e+02 >>> 0 KSP unpreconditioned resid norm 2.755713163168e+02 true resid norm >>> 2.755713163168e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 6.846535958070e+00 true resid norm >>> 6.846535958070e+00 ||r(i)||/||b|| 2.484487881242e-02 >>> 2 KSP unpreconditioned resid norm 2.481071550890e+00 true resid norm >>> 8.756034834835e+00 ||r(i)||/||b|| 3.177411550616e-02 >>> 3 KSP unpreconditioned resid norm 8.153960511371e-01 true resid norm >>> 1.077766099902e+01 ||r(i)||/||b|| 3.911024247035e-02 >>> 4 KSP unpreconditioned resid norm 5.272907968554e-01 true resid norm >>> 1.158585973964e+01 ||r(i)||/||b|| 4.204305402497e-02 >>> 5 KSP unpreconditioned resid norm 2.568557800847e-01 true resid norm >>> 1.111425590026e+01 ||r(i)||/||b|| 4.033168636275e-02 >>> 6 KSP unpreconditioned resid norm 9.535234538303e-02 true resid norm >>> 1.129251830278e+01 ||r(i)||/||b|| 4.097856937258e-02 >>> 7 KSP unpreconditioned resid norm 3.803098494703e-03 true resid norm >>> 1.144578323652e+01 ||r(i)||/||b|| 4.153474095018e-02 >>> 8 KSP unpreconditioned resid norm 2.151080788386e-04 true resid norm >>> 1.140343808626e+01 ||r(i)||/||b|| 4.138107782289e-02 >>> 24 SNES Function norm 2.755712363532e+02 >>> 0 KSP unpreconditioned resid norm 2.755712363532e+02 true resid norm >>> 2.755712363532e+02 ||r(i)||/||b|| 1.000000000000e+00 >>> 1 KSP unpreconditioned resid norm 4.232622501221e+01 true resid norm >>> 4.232622501221e+01 ||r(i)||/||b|| 1.535944954645e-01 >>> 2 KSP unpreconditioned resid norm 2.491207938618e+01 true resid norm >>> 6.073593758143e+01 ||r(i)||/||b|| 2.204001345902e-01 >>> 3 KSP unpreconditioned resid norm 1.873650490509e+01 true resid norm >>> 8.524306125765e+01 ||r(i)||/||b|| 3.093322161838e-01 >>> 4 KSP unpreconditioned resid norm 5.309932679768e+00 true resid norm >>> 1.074506397563e+02 ||r(i)||/||b|| 3.899196490108e-01 >>> 5 KSP unpreconditioned resid norm 4.024003774177e+00 true resid norm >>> 1.106165625327e+02 ||r(i)||/||b|| 4.014082311221e-01 >>> 6 KSP unpreconditioned resid norm 3.757785755885e+00 true resid norm >>> 1.126119690688e+02 ||r(i)||/||b|| 4.086492137535e-01 >>> 7 KSP unpreconditioned resid norm 3.609856365266e+00 true resid norm >>> 1.153615338633e+02 ||r(i)||/||b|| 4.186269052965e-01 >>> 8 KSP unpreconditioned resid norm 3.599697975830e+00 true resid norm >>> 1.145508733644e+02 ||r(i)||/||b|| 4.156851595993e-01 >>> 9 KSP unpreconditioned resid norm 3.599279687857e+00 true resid norm >>> 1.170294925221e+02 ||r(i)||/||b|| 4.246796366369e-01 >>> 10 KSP unpreconditioned resid norm 3.597803724329e+00 true resid norm >>> 1.141700721441e+02 ||r(i)||/||b|| 4.143032983230e-01 >>> 11 KSP unpreconditioned resid norm 3.596737615999e+00 true resid norm >>> 1.148307006855e+02 ||r(i)||/||b|| 4.167006041890e-01 >>> 12 KSP unpreconditioned resid norm 3.595710841264e+00 true resid norm >>> 1.156257644592e+02 ||r(i)||/||b|| 4.195857520885e-01 >>> 13 KSP unpreconditioned resid norm 3.586196423514e+00 true resid norm >>> 1.161164780969e+02 ||r(i)||/||b|| 4.213664663754e-01 >>> 14 KSP unpreconditioned resid norm 3.435157463728e+00 true resid norm >>> 1.495255918191e+02 ||r(i)||/||b|| 5.426023187246e-01 >>> 15 KSP unpreconditioned resid norm 3.380326213569e+00 true resid norm >>> 1.691583628281e+02 ||r(i)||/||b|| 6.138462238173e-01 >>> 16 KSP unpreconditioned resid norm 3.370184966977e+00 true resid norm >>> 1.626583689771e+02 ||r(i)||/||b|| 5.902588787193e-01 >>> 17 KSP unpreconditioned resid norm 3.362283769411e+00 true resid norm >>> 1.734587903024e+02 ||r(i)||/||b|| 6.294517257967e-01 >>> 18 KSP unpreconditioned resid norm 3.350650432378e+00 true resid norm >>> 1.748843230757e+02 ||r(i)||/||b|| 6.346247358399e-01 >>> 19 KSP unpreconditioned resid norm 3.349048765263e+00 true resid norm >>> 1.744218218990e+02 ||r(i)||/||b|| 6.329463996579e-01 >>> 20 KSP unpreconditioned resid norm 3.348988713038e+00 true resid norm >>> 1.757544032962e+02 ||r(i)||/||b|| 6.377821053534e-01 >>> 21 KSP unpreconditioned resid norm 3.348981727899e+00 true resid norm >>> 1.736215517902e+02 ||r(i)||/||b|| 6.300423588755e-01 >>> 22 KSP unpreconditioned resid norm 3.347278139858e+00 true resid norm >>> 1.769503681529e+02 ||r(i)||/||b|| 6.421220534282e-01 >>> 23 KSP unpreconditioned resid norm 3.219226414932e+00 true resid norm >>> 1.769575879142e+02 ||r(i)||/||b|| 6.421482526842e-01 >>> 24 KSP unpreconditioned resid norm 2.822590852350e+00 true resid norm >>> 1.859375430783e+02 ||r(i)||/||b|| 6.747349452684e-01 >>> 25 KSP unpreconditioned resid norm 2.309519054919e+00 true resid norm >>> 2.168779675838e+02 ||r(i)||/||b|| 7.870123546051e-01 >>> 26 KSP unpreconditioned resid norm 2.227139205444e+00 true resid norm >>> 2.110752201996e+02 ||r(i)||/||b|| 7.659551954438e-01 >>> 27 KSP unpreconditioned resid norm 1.071083203142e+00 true resid norm >>> 2.654638231029e+02 ||r(i)||/||b|| 9.633219584739e-01 >>> 28 KSP unpreconditioned resid norm 9.806030722653e-01 true resid norm >>> 2.767219704819e+02 ||r(i)||/||b|| 1.004175813644e+00 >>> 29 KSP unpreconditioned resid norm 9.664048337082e-01 true resid norm >>> 2.735425797813e+02 ||r(i)||/||b|| 9.926383587826e-01 >>> 30 KSP unpreconditioned resid norm 2.770004820147e+02 true resid norm >>> 2.770004820147e+02 ||r(i)||/||b|| 1.005186483468e+00 >>> 31 KSP unpreconditioned resid norm 1.140110593381e+02 true resid norm >>> 2.945037649612e+02 ||r(i)||/||b|| 1.068702847433e+00 >>> 32 KSP unpreconditioned resid norm 8.236226033426e+01 true resid norm >>> 2.546580529874e+02 ||r(i)||/||b|| 9.241097015692e-01 >>> 33 KSP unpreconditioned resid norm 3.898917963685e+01 true resid norm >>> 2.745281955063e+02 ||r(i)||/||b|| 9.962149865105e-01 >>> 34 KSP unpreconditioned resid norm 1.011205458583e+01 true resid norm >>> 2.898261296072e+02 ||r(i)||/||b|| 1.051728523784e+00 >>> 35 KSP unpreconditioned resid norm 8.616275790199e+00 true resid norm >>> 3.018215534190e+02 ||r(i)||/||b|| 1.095257826663e+00 >>> 36 KSP unpreconditioned resid norm 7.060253104363e+00 true resid norm >>> 3.019791937262e+02 ||r(i)||/||b|| 1.095829875870e+00 >>> 37 KSP unpreconditioned resid norm 6.570242477517e+00 true resid norm >>> 2.929998255276e+02 ||r(i)||/||b|| 1.063245313281e+00 >>> 38 KSP unpreconditioned resid norm 5.572927530093e+00 true resid norm >>> 3.163520220055e+02 ||r(i)||/||b|| 1.147986365311e+00 >>> 39 KSP unpreconditioned resid norm 5.293220961263e+00 true resid norm >>> 2.951883280350e+02 ||r(i)||/||b|| 1.071187007546e+00 >>> 40 KSP unpreconditioned resid norm 5.256809704195e+00 true resid norm >>> 3.159367355815e+02 ||r(i)||/||b|| 1.146479363240e+00 >>> 41 KSP unpreconditioned resid norm 5.190301236286e+00 true resid norm >>> 3.075214639302e+02 ||r(i)||/||b|| 1.115941808731e+00 >>> 42 KSP unpreconditioned resid norm 5.183649726411e+00 true resid norm >>> 3.039070341991e+02 ||r(i)||/||b|| 1.102825673031e+00 >>> 43 KSP unpreconditioned resid norm 5.118281808364e+00 true resid norm >>> 2.958169749616e+02 ||r(i)||/||b|| 1.073468257705e+00 >>> 44 KSP unpreconditioned resid norm 2.885097693426e+00 true resid norm >>> 3.734759823549e+02 ||r(i)||/||b|| 1.355279263893e+00 >>> 45 KSP unpreconditioned resid norm 1.035319192472e+00 true resid norm >>> 4.155548703507e+02 ||r(i)||/||b|| 1.507976216422e+00 >>> 46 KSP unpreconditioned resid norm 5.579863623125e-01 true resid norm >>> 4.078820152216e+02 ||r(i)||/||b|| 1.480132762110e+00 >>> 47 KSP unpreconditioned resid norm 5.120421018240e-01 true resid norm >>> 4.092157058207e+02 ||r(i)||/||b|| 1.484972492906e+00 >>> 48 KSP unpreconditioned resid norm 4.796787069079e-01 true resid norm >>> 4.058092915545e+02 ||r(i)||/||b|| 1.472611209083e+00 >>> 49 KSP unpreconditioned resid norm 4.744592839962e-01 true resid norm >>> 4.173468194199e+02 ||r(i)||/||b|| 1.514478887357e+00 >>> 50 KSP unpreconditioned resid norm 4.744564914486e-01 true resid norm >>> 4.173567919777e+02 ||r(i)||/||b|| 1.514515076032e+00 >>> 51 KSP unpreconditioned resid norm 4.744563271210e-01 true resid norm >>> 4.171544676107e+02 ||r(i)||/||b|| 1.513780876158e+00 >>> 52 KSP unpreconditioned resid norm 4.741552119642e-01 true resid norm >>> 4.156339669040e+02 ||r(i)||/||b|| 1.508263244032e+00 >>> 53 KSP unpreconditioned resid norm 4.260771566579e-01 true resid norm >>> 4.963291201426e+02 ||r(i)||/||b|| 1.801091894462e+00 >>> 54 KSP unpreconditioned resid norm 1.606767026862e-01 true resid norm >>> 7.811691813982e+02 ||r(i)||/||b|| 2.834726844992e+00 >>> 55 KSP unpreconditioned resid norm 1.438586734835e-01 true resid norm >>> 8.207296621168e+02 ||r(i)||/||b|| 2.978284936331e+00 >>> 56 KSP unpreconditioned resid norm 1.406571559968e-01 true resid norm >>> 7.936946934103e+02 ||r(i)||/||b|| 2.880179745585e+00 >>> 57 KSP unpreconditioned resid norm 1.314866726817e-01 true resid norm >>> 7.959475933917e+02 ||r(i)||/||b|| 2.888355127062e+00 >>> 58 KSP unpreconditioned resid norm 1.294094769063e-01 true resid norm >>> 7.980559340873e+02 ||r(i)||/||b|| 2.896005928080e+00 >>> 59 KSP unpreconditioned resid norm 1.157036938799e-01 true resid norm >>> 8.192900430430e+02 ||r(i)||/||b|| 2.973060809557e+00 >>> 60 KSP unpreconditioned resid norm 8.241203625923e+02 true resid norm >>> 8.241203625923e+02 ||r(i)||/||b|| 2.990589197546e+00 >>> 61 KSP unpreconditioned resid norm 5.762204692795e+02 true resid norm >>> 1.139580328541e+03 ||r(i)||/||b|| 4.135338446864e+00 >>> 62 KSP unpreconditioned resid norm 3.985894224287e+02 true resid norm >>> 1.032497263075e+03 ||r(i)||/||b|| 3.746752660906e+00 >>> 63 KSP unpreconditioned resid norm 3.715639719604e+02 true resid norm >>> 1.129061045316e+03 ||r(i)||/||b|| 4.097165800964e+00 >>> 64 KSP unpreconditioned resid norm 3.517510024064e+02 true resid norm >>> 1.105272485190e+03 ||r(i)||/||b|| 4.010841261289e+00 >>> 65 KSP unpreconditioned resid norm 3.505256741334e+02 true resid norm >>> 1.119116680546e+03 ||r(i)||/||b|| 4.061079433966e+00 >>> 66 KSP unpreconditioned resid norm 3.245282609350e+02 true resid norm >>> 1.278512954302e+03 ||r(i)||/||b|| 4.639500737528e+00 >>> 67 KSP unpreconditioned resid norm 3.185546922426e+02 true resid norm >>> 1.316116102154e+03 ||r(i)||/||b|| 4.775956008945e+00 >>> 68 KSP unpreconditioned resid norm 2.935614497897e+02 true resid norm >>> 1.613148889104e+03 ||r(i)||/||b|| 5.853836236510e+00 >>> 69 KSP unpreconditioned resid norm 2.916950130807e+02 true resid norm >>> 1.640693935843e+03 ||r(i)||/||b|| 5.953792411558e+00 >>> 70 KSP unpreconditioned resid norm 5.338203474651e+01 true resid norm >>> 6.786538543779e+03 ||r(i)||/||b|| 2.462716585950e+01 >>> 71 KSP unpreconditioned resid norm 3.842451984147e+01 true resid norm >>> 7.031743784093e+03 ||r(i)||/||b|| 2.551697295098e+01 >>> 72 KSP unpreconditioned resid norm 2.456635578348e+01 true resid norm >>> 7.011081451208e+03 ||r(i)||/||b|| 2.544199294523e+01 >>> 73 KSP unpreconditioned resid norm 1.197940743903e+01 true resid norm >>> 7.057459572500e+03 ||r(i)||/||b|| 2.561029106628e+01 >>> 74 KSP unpreconditioned resid norm 1.094051775599e+01 true resid norm >>> 7.146713226914e+03 ||r(i)||/||b|| 2.593417702620e+01 >>> 75 KSP unpreconditioned resid norm 1.086455030374e+01 true resid norm >>> 7.120952027582e+03 ||r(i)||/||b|| 2.584069412257e+01 >>> 76 KSP unpreconditioned resid norm 1.079928058658e+01 true resid norm >>> 7.139110458055e+03 ||r(i)||/||b|| 2.590658790275e+01 >>> 77 KSP unpreconditioned resid norm 1.075256031213e+01 true resid norm >>> 7.144313896651e+03 ||r(i)||/||b|| 2.592547027475e+01 >>> 78 KSP unpreconditioned resid norm 1.066313589844e+01 true resid norm >>> 7.167082414494e+03 ||r(i)||/||b|| 2.600809325872e+01 >>> 79 KSP unpreconditioned resid norm 1.059506075324e+01 true resid norm >>> 7.090827855170e+03 ||r(i)||/||b|| 2.573137874985e+01 >>> 80 KSP unpreconditioned resid norm 1.047508685484e+01 true resid norm >>> 7.075992307465e+03 ||r(i)||/||b|| 2.567754313224e+01 >>> 81 KSP unpreconditioned resid norm 1.043458037171e+01 true resid norm >>> 7.088228807561e+03 ||r(i)||/||b|| 2.572194725895e+01 >>> 82 KSP unpreconditioned resid norm 1.039892140666e+01 true resid norm >>> 7.078316885367e+03 ||r(i)||/||b|| 2.568597862041e+01 >>> 83 KSP unpreconditioned resid norm 1.037939199767e+01 true resid norm >>> 7.066205554283e+03 ||r(i)||/||b|| 2.564202871023e+01 >>> 84 KSP unpreconditioned resid norm 9.984750042542e+00 true resid norm >>> 7.006338412442e+03 ||r(i)||/||b|| 2.542478128400e+01 >>> 85 KSP unpreconditioned resid norm 9.883677466536e+00 true resid norm >>> 7.058028159441e+03 ||r(i)||/||b|| 2.561235436922e+01 >>> 86 KSP unpreconditioned resid norm 6.619460053034e+00 true resid norm >>> 7.044190785882e+03 ||r(i)||/||b|| 2.556214095165e+01 >>> 87 KSP unpreconditioned resid norm 6.310659447939e+00 true resid norm >>> 6.988896164708e+03 ||r(i)||/||b|| 2.536148640619e+01 >>> 88 KSP unpreconditioned resid norm 5.965222301448e+00 true resid norm >>> 6.977241230228e+03 ||r(i)||/||b|| 2.531919267977e+01 >>> 89 KSP unpreconditioned resid norm 5.937863010270e+00 true resid norm >>> 6.984983705932e+03 ||r(i)||/||b|| 2.534728877501e+01 >>> 90 KSP unpreconditioned resid norm 7.016500581832e+03 true resid norm >>> 7.016500581832e+03 ||r(i)||/||b|| 2.546165802602e+01 >>> 91 KSP unpreconditioned resid norm 5.093503615041e+03 true resid norm >>> 6.330240058388e+03 ||r(i)||/||b|| 2.297133816344e+01 >>> 92 KSP unpreconditioned resid norm 4.619237287853e+03 true resid norm >>> 8.431713231372e+03 ||r(i)||/||b|| 3.059721813842e+01 >>> 93 KSP unpreconditioned resid norm 4.597871280643e+03 true resid norm >>> 8.292265533928e+03 ||r(i)||/||b|| 3.009118674236e+01 >>> 94 KSP unpreconditioned resid norm 3.891645464749e+03 true resid norm >>> 1.502202111405e+04 ||r(i)||/||b|| 5.451229712086e+01 >>> 95 KSP unpreconditioned resid norm 3.200596462200e+03 true resid norm >>> 2.668959459509e+04 ||r(i)||/||b|| 9.685188827501e+01 >>> 96 KSP unpreconditioned resid norm 3.133449271747e+03 true resid norm >>> 2.745239308481e+04 ||r(i)||/||b|| 9.961995108089e+01 >>> 97 KSP unpreconditioned resid norm 3.132571481382e+03 true resid norm >>> 2.746198607073e+04 ||r(i)||/||b|| 9.965476235528e+01 >>> 98 KSP unpreconditioned resid norm 2.765126329282e+03 true resid norm >>> 5.866172400570e+04 ||r(i)||/||b|| 2.128731749438e+02 >>> 99 KSP unpreconditioned resid norm 2.727323406805e+03 true resid norm >>> 6.346138079041e+04 ||r(i)||/||b|| 2.302902931026e+02 >>> 100 KSP unpreconditioned resid norm 2.121814231223e+03 true resid norm >>> 1.195380938846e+05 ||r(i)||/||b|| 4.337829138718e+02 >>> 101 KSP unpreconditioned resid norm 2.009360588857e+03 true resid norm >>> 1.304494792115e+05 ||r(i)||/||b|| 4.733784299761e+02 >>> 102 KSP unpreconditioned resid norm 2.005896554452e+03 true resid norm >>> 1.320230537653e+05 ||r(i)||/||b|| 4.790886578455e+02 >>> 103 KSP unpreconditioned resid norm 1.956012050906e+03 true resid norm >>> 1.367295899920e+05 ||r(i)||/||b|| 4.961678577250e+02 >>> 104 KSP unpreconditioned resid norm 1.917942474919e+03 true resid norm >>> 1.386791785519e+05 ||r(i)||/||b|| 5.032425749043e+02 >>> 105 KSP unpreconditioned resid norm 1.891011896845e+03 true resid norm >>> 1.430038847663e+05 ||r(i)||/||b|| 5.189361802006e+02 >>> 106 KSP unpreconditioned resid norm 1.821613376258e+03 true resid norm >>> 1.434421314555e+05 ||r(i)||/||b|| 5.205265010736e+02 >>> 107 KSP unpreconditioned resid norm 1.495077331141e+03 true resid norm >>> 1.694987590930e+05 ||r(i)||/||b|| 6.150814625505e+02 >>> 108 KSP unpreconditioned resid norm 1.462526968856e+03 true resid norm >>> 1.635061661924e+05 ||r(i)||/||b|| 5.933353870895e+02 >>> 109 KSP unpreconditioned resid norm 1.457563548662e+03 true resid norm >>> 1.638719165345e+05 ||r(i)||/||b|| 5.946626313513e+02 >>> 110 KSP unpreconditioned resid norm 1.454261407177e+03 true resid norm >>> 1.647934153621e+05 ||r(i)||/||b|| 5.980065900305e+02 >>> 111 KSP unpreconditioned resid norm 1.453528774889e+03 true resid norm >>> 1.628660507161e+05 ||r(i)||/||b|| 5.910125195626e+02 >>> 112 KSP unpreconditioned resid norm 1.443038716768e+03 true resid norm >>> 1.583680545044e+05 ||r(i)||/||b|| 5.746900750607e+02 >>> 113 KSP unpreconditioned resid norm 1.437764618649e+03 true resid norm >>> 1.608017231907e+05 ||r(i)||/||b|| 5.835214346703e+02 >>> 114 KSP unpreconditioned resid norm 1.434261116035e+03 true resid norm >>> 1.599123455153e+05 ||r(i)||/||b|| 5.802940380554e+02 >>> 115 KSP unpreconditioned resid norm 1.424002324402e+03 true resid norm >>> 1.579975804284e+05 ||r(i)||/||b|| 5.733456891919e+02 >>> 116 KSP unpreconditioned resid norm 1.357749753091e+03 true resid norm >>> 1.551082296226e+05 ||r(i)||/||b|| 5.628607385707e+02 >>> 117 KSP unpreconditioned resid norm 1.198269521762e+03 true resid norm >>> 1.545809594035e+05 ||r(i)||/||b|| 5.609473668193e+02 >>> 118 KSP unpreconditioned resid norm 1.130943883259e+03 true resid norm >>> 1.572138269970e+05 ||r(i)||/||b|| 5.705015845541e+02 >>> 119 KSP unpreconditioned resid norm 1.125785379845e+03 true resid norm >>> 1.547962006264e+05 ||r(i)||/||b|| 5.617284397127e+02 >>> 120 KSP unpreconditioned resid norm 1.543427251551e+05 true resid norm >>> 1.543427251551e+05 ||r(i)||/||b|| 5.600828562430e+02 >>> 121 KSP unpreconditioned resid norm 9.687641861615e+03 true resid norm >>> 1.312462482586e+05 ||r(i)||/||b|| 4.762697660157e+02 >>> 122 KSP unpreconditioned resid norm 4.306237612170e+03 true resid norm >>> 1.216805191948e+05 ||r(i)||/||b|| 4.415574020171e+02 >>> 123 KSP unpreconditioned resid norm 3.475568157040e+03 true resid norm >>> 1.229750886113e+05 ||r(i)||/||b|| 4.462551688584e+02 >>> 124 KSP unpreconditioned resid norm 2.129292353503e+03 true resid norm >>> 1.198465289785e+05 ||r(i)||/||b|| 4.349021710846e+02 >>> 125 KSP unpreconditioned resid norm 1.870804830415e+03 true resid norm >>> 1.184972385737e+05 ||r(i)||/||b|| 4.300058313119e+02 >>> 126 KSP unpreconditioned resid norm 1.619045998374e+03 true resid norm >>> 1.223524555012e+05 ||r(i)||/||b|| 4.439957417919e+02 >>> 127 KSP unpreconditioned resid norm 1.376987056507e+03 true resid norm >>> 1.178021963733e+05 ||r(i)||/||b|| 4.274836442738e+02 >>> 128 KSP unpreconditioned resid norm 1.240725581528e+03 true resid norm >>> 1.203158159107e+05 ||r(i)||/||b|| 4.366051315910e+02 >>> 129 KSP unpreconditioned resid norm 1.149407701476e+03 true resid norm >>> 1.195020992146e+05 ||r(i)||/||b|| 4.336522954863e+02 >>> 130 KSP unpreconditioned resid norm 2.316334545969e+02 true resid norm >>> 1.223507792260e+05 ||r(i)||/||b|| 4.439896588813e+02 >>> 131 KSP unpreconditioned resid norm 8.374611050353e+01 true resid norm >>> 1.201361156891e+05 ||r(i)||/||b|| 4.359530307985e+02 >>> 132 KSP unpreconditioned resid norm 3.643538363030e+01 true resid norm >>> 1.216626686116e+05 ||r(i)||/||b|| 4.414926253613e+02 >>> 133 KSP unpreconditioned resid norm 2.717335002882e+01 true resid norm >>> 1.209934243595e+05 ||r(i)||/||b|| 4.390640545824e+02 >>> 134 KSP unpreconditioned resid norm 1.912772699959e+01 true resid norm >>> 1.208873535853e+05 ||r(i)||/||b|| 4.386791422251e+02 >>> 135 KSP unpreconditioned resid norm 1.524932868540e+00 true resid norm >>> 1.230433708113e+05 ||r(i)||/||b|| 4.465029530645e+02 >>> 136 KSP unpreconditioned resid norm 7.592632091308e-01 true resid norm >>> 1.229456514344e+05 ||r(i)||/||b|| 4.461483464725e+02 >>> 137 KSP unpreconditioned resid norm 6.118389339705e-01 true resid norm >>> 1.228512430071e+05 ||r(i)||/||b|| 4.458057547402e+02 >>> 138 KSP unpreconditioned resid norm 4.797543151006e-01 true resid norm >>> 1.229234787855e+05 ||r(i)||/||b|| 4.460678857932e+02 >>> 139 KSP unpreconditioned resid norm 1.399262290600e-01 true resid norm >>> 1.229194801786e+05 ||r(i)||/||b|| 4.460533755456e+02 >>> 140 KSP unpreconditioned resid norm 1.138136530735e-01 true resid norm >>> 1.229195079694e+05 ||r(i)||/||b|| 4.460534763934e+02 >>> 141 KSP unpreconditioned resid norm 9.664519186549e-02 true resid norm >>> 1.229194652988e+05 ||r(i)||/||b|| 4.460533215493e+02 >>> 142 KSP unpreconditioned resid norm 8.202341866260e-02 true resid norm >>> 1.229193617253e+05 ||r(i)||/||b|| 4.460529456992e+02 >>> 143 KSP unpreconditioned resid norm 5.682825851560e-02 true resid norm >>> 1.228841671660e+05 ||r(i)||/||b|| 4.459252307758e+02 >>> 144 KSP unpreconditioned resid norm 5.092809135755e-02 true resid norm >>> 1.228796781564e+05 ||r(i)||/||b|| 4.459089409424e+02 >>> 145 KSP unpreconditioned resid norm 4.946174382551e-02 true resid norm >>> 1.228841500560e+05 ||r(i)||/||b|| 4.459251686865e+02 >>> 146 KSP unpreconditioned resid norm 4.818582229493e-02 true resid norm >>> 1.228841540010e+05 ||r(i)||/||b|| 4.459251830023e+02 >>> 147 KSP unpreconditioned resid norm 4.804260791992e-02 true resid norm >>> 1.228796714990e+05 ||r(i)||/||b|| 4.459089167835e+02 >>> 148 KSP unpreconditioned resid norm 4.798036051442e-02 true resid norm >>> 1.228796718963e+05 ||r(i)||/||b|| 4.459089182254e+02 >>> 149 KSP unpreconditioned resid norm 4.789821323052e-02 true resid norm >>> 1.228796773320e+05 ||r(i)||/||b|| 4.459089379507e+02 >>> 150 KSP unpreconditioned resid norm 1.229170818997e+05 true resid norm >>> 1.229170818997e+05 ||r(i)||/||b|| 4.460446726091e+02 >>> 151 KSP unpreconditioned resid norm 1.504356443355e+04 true resid norm >>> 1.093690560218e+05 ||r(i)||/||b|| 3.968812473652e+02 >>> 152 KSP unpreconditioned resid norm 1.244195672870e+04 true resid norm >>> 1.113856786937e+05 ||r(i)||/||b|| 4.041992196565e+02 >>> 153 KSP unpreconditioned resid norm 1.225340186741e+04 true resid norm >>> 1.167038059368e+05 ||r(i)||/||b|| 4.234977767679e+02 >>> 154 KSP unpreconditioned resid norm 1.150472317241e+04 true resid norm >>> 1.129983837286e+05 ||r(i)||/||b|| 4.100514452234e+02 >>> 155 KSP unpreconditioned resid norm 4.442606181918e+03 true resid norm >>> 1.317599156335e+05 ||r(i)||/||b|| 4.781337754155e+02 >>> 156 KSP unpreconditioned resid norm 3.958747173080e+03 true resid norm >>> 1.296136243806e+05 ||r(i)||/||b|| 4.703452584377e+02 >>> 157 KSP unpreconditioned resid norm 3.611802792634e+03 true resid norm >>> 1.294308648863e+05 ||r(i)||/||b|| 4.696820560778e+02 >>> 158 KSP unpreconditioned resid norm 3.241244232472e+03 true resid norm >>> 1.282759745135e+05 ||r(i)||/||b|| 4.654911601482e+02 >>> 159 KSP unpreconditioned resid norm 2.768757317553e+03 true resid norm >>> 1.270072256023e+05 ||r(i)||/||b|| 4.608870914215e+02 >>> 160 KSP unpreconditioned resid norm 2.524612828404e+03 true resid norm >>> 1.262142455939e+05 ||r(i)||/||b|| 4.580095051436e+02 >>> 161 KSP unpreconditioned resid norm 1.597503632148e+03 true resid norm >>> 1.242919647286e+05 ||r(i)||/||b|| 4.510338828299e+02 >>> 162 KSP unpreconditioned resid norm 1.306334671172e+03 true resid norm >>> 1.206147954536e+05 ||r(i)||/||b|| 4.376900762568e+02 >>> 163 KSP unpreconditioned resid norm 1.002787050836e+03 true resid norm >>> 1.211953380536e+05 ||r(i)||/||b|| 4.397967641960e+02 >>> 164 KSP unpreconditioned resid norm 9.040547085337e+02 true resid norm >>> 1.240638488124e+05 ||r(i)||/||b|| 4.502060899178e+02 >>> 165 KSP unpreconditioned resid norm 8.266105040857e+02 true resid norm >>> 1.217296905722e+05 ||r(i)||/||b|| 4.417358363780e+02 >>> 166 KSP unpreconditioned resid norm 7.509799929433e+02 true resid norm >>> 1.289718047507e+05 ||r(i)||/||b|| 4.680162068343e+02 >>> 167 KSP unpreconditioned resid norm 6.343944680620e+02 true resid norm >>> 1.221356169338e+05 ||r(i)||/||b|| 4.432088724138e+02 >>> 168 KSP unpreconditioned resid norm 4.228561323994e+02 true resid norm >>> 1.235824610762e+05 ||r(i)||/||b|| 4.484592177023e+02 >>> 169 KSP unpreconditioned resid norm 7.102515984437e+01 true resid norm >>> 1.260712062655e+05 ||r(i)||/||b|| 4.574904403444e+02 >>> 170 KSP unpreconditioned resid norm 6.107553371402e+01 true resid norm >>> 1.263309363140e+05 ||r(i)||/||b|| 4.584329554341e+02 >>> 171 KSP unpreconditioned resid norm 5.628925898920e+01 true resid norm >>> 1.265842262310e+05 ||r(i)||/||b|| 4.593521004084e+02 >>> 172 KSP unpreconditioned resid norm 5.325842487623e+01 true resid norm >>> 1.259756868046e+05 ||r(i)||/||b|| 4.571438168645e+02 >>> 173 KSP unpreconditioned resid norm 4.313426816903e+01 true resid norm >>> 1.256922861858e+05 ||r(i)||/||b|| 4.561154053999e+02 >>> 174 KSP unpreconditioned resid norm 4.139644406511e+01 true resid norm >>> 1.255866327936e+05 ||r(i)||/||b|| 4.557320076492e+02 >>> 175 KSP unpreconditioned resid norm 4.059166270476e+01 true resid norm >>> 1.257317172899e+05 ||r(i)||/||b|| 4.562584940061e+02 >>> 176 KSP unpreconditioned resid norm 3.776505808733e+01 true resid norm >>> 1.255329189055e+05 ||r(i)||/||b|| 4.555370893087e+02 >>> 177 KSP unpreconditioned resid norm 3.752612693619e+01 true resid norm >>> 1.256961684336e+05 ||r(i)||/||b|| 4.561294934007e+02 >>> 178 KSP unpreconditioned resid norm 3.736705603634e+01 true resid norm >>> 1.259762625890e+05 ||r(i)||/||b|| 4.571459062857e+02 >>> 179 KSP unpreconditioned resid norm 3.732951008226e+01 true resid norm >>> 1.261329420233e+05 ||r(i)||/||b|| 4.577144686526e+02 >>> 180 KSP unpreconditioned resid norm 1.264843142503e+05 true resid norm >>> 1.264843142503e+05 ||r(i)||/||b|| 4.589895372396e+02 >>> 181 KSP unpreconditioned resid norm 8.819854345872e+04 true resid norm >>> 7.421586684795e+04 ||r(i)||/||b|| 2.693164490971e+02 >>> 182 KSP unpreconditioned resid norm 6.820284360474e+04 true resid norm >>> 8.845099857884e+04 ||r(i)||/||b|| 3.209732617575e+02 >>> 183 KSP unpreconditioned resid norm 6.649169133527e+04 true resid norm >>> 9.695307886076e+04 ||r(i)||/||b|| 3.518258296613e+02 >>> 184 KSP unpreconditioned resid norm 6.331239588602e+04 true resid norm >>> 1.276316752783e+05 ||r(i)||/||b|| 4.631531104891e+02 >>> 185 KSP unpreconditioned resid norm 6.252299705504e+04 true resid norm >>> 1.347343905085e+05 ||r(i)||/||b|| 4.889276264515e+02 >>> 186 KSP unpreconditioned resid norm 4.853904613639e+04 true resid norm >>> 3.201242844765e+05 ||r(i)||/||b|| 1.161675248524e+03 >>> 187 KSP unpreconditioned resid norm 4.219140436114e+04 true resid norm >>> 4.404707106043e+05 ||r(i)||/||b|| 1.598391459258e+03 >>> 188 KSP unpreconditioned resid norm 3.684315504592e+04 true resid norm >>> 4.833177649269e+05 ||r(i)||/||b|| 1.753875953539e+03 >>> 189 KSP unpreconditioned resid norm 3.534967798134e+04 true resid norm >>> 5.018821663043e+05 ||r(i)||/||b|| 1.821242931396e+03 >>> 190 KSP unpreconditioned resid norm 3.341243925885e+04 true resid norm >>> 5.145529395860e+05 ||r(i)||/||b|| 1.867222959825e+03 >>> 191 KSP unpreconditioned resid norm 3.297183308133e+04 true resid norm >>> 5.078118375180e+05 ||r(i)||/||b|| 1.842760675019e+03 >>> 192 KSP unpreconditioned resid norm 3.295138974490e+04 true resid norm >>> 5.020778987445e+05 ||r(i)||/||b|| 1.821953210316e+03 >>> 193 KSP unpreconditioned resid norm 3.293118332758e+04 true resid norm >>> 5.057675768439e+05 ||r(i)||/||b|| 1.835342409233e+03 >>> 194 KSP unpreconditioned resid norm 3.290271250575e+04 true resid norm >>> 5.144670419966e+05 ||r(i)||/||b|| 1.866911252440e+03 >>> 195 KSP unpreconditioned resid norm 3.286831121629e+04 true resid norm >>> 5.172060400320e+05 ||r(i)||/||b|| 1.876850599056e+03 >>> 196 KSP unpreconditioned resid norm 3.286666518120e+04 true resid norm >>> 5.153103889545e+05 ||r(i)||/||b|| 1.869971611602e+03 >>> 197 KSP unpreconditioned resid norm 3.285912278860e+04 true resid norm >>> 5.129767922689e+05 ||r(i)||/||b|| 1.861503395846e+03 >>> 198 KSP unpreconditioned resid norm 3.252356305725e+04 true resid norm >>> 4.939344872669e+05 ||r(i)||/||b|| 1.792402189007e+03 >>> 199 KSP unpreconditioned resid norm 3.251630298846e+04 true resid norm >>> 4.923429687750e+05 ||r(i)||/||b|| 1.786626845713e+03 >>> 200 KSP unpreconditioned resid norm 3.251525291518e+04 true resid norm >>> 4.857429030576e+05 ||r(i)||/||b|| 1.762676357249e+03 >>> 201 KSP unpreconditioned resid norm 3.222149134412e+04 true resid norm >>> 6.182795797840e+05 ||r(i)||/||b|| 2.243628863324e+03 >>> 202 KSP unpreconditioned resid norm 3.207404984650e+04 true resid norm >>> 7.562732670579e+05 ||r(i)||/||b|| 2.744383909824e+03 >>> 203 KSP unpreconditioned resid norm 3.207333995935e+04 true resid norm >>> 7.589334030780e+05 ||r(i)||/||b|| 2.754037079927e+03 >>> 204 KSP unpreconditioned resid norm 3.206223457945e+04 true resid norm >>> 7.704831042122e+05 ||r(i)||/||b|| 2.795948932873e+03 >>> 205 KSP unpreconditioned resid norm 3.204876215451e+04 true resid norm >>> 7.555220845092e+05 ||r(i)||/||b|| 2.741657999243e+03 >>> 206 KSP unpreconditioned resid norm 3.200091356228e+04 true resid norm >>> 6.828836413819e+05 ||r(i)||/||b|| 2.478065745971e+03 >>> 207 KSP unpreconditioned resid norm 3.086109249513e+04 true resid norm >>> 1.425824444777e+06 ||r(i)||/||b|| 5.174068468269e+03 >>> 208 KSP unpreconditioned resid norm 2.947470103154e+04 true resid norm >>> 3.821305546130e+06 ||r(i)||/||b|| 1.386685198608e+04 >>> 209 KSP unpreconditioned resid norm 2.923482810424e+04 true resid norm >>> 4.118347357287e+06 ||r(i)||/||b|| 1.494476496091e+04 >>> 210 KSP unpreconditioned resid norm 4.363951081769e+06 true resid norm >>> 4.363951081769e+06 ||r(i)||/||b|| 1.583601808200e+04 >>> Nonlinear solve did not converge due to DIVERGED_LINEAR_SOLVE iterations 24 >>> >>> -gideon >>> >>>> On Sep 7, 2015, at 10:03 PM, Barry Smith <[email protected]> wrote: >>>> >>>> >>>> Is there any chance your Jacobian may have a null space? (For example with >>>> Neumann boundary conditions there is often a nullspace) >>>> >>>> If not run with with -ksp_type fgmres and send the same output. >>>> >>>> Something is screwy with the linear system convergence, could be several >>>> things including either a null space problem or that your Jacobian that >>>> you provide is terribly wrong. >>>> >>>> Barry >>>> >>>> >>>> 21 SNES Function norm 2.987064584431e+02 >>>> 0 KSP preconditioned resid norm 3.076322725615e+05 true resid norm >>>> 2.987064584431e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>> 1 KSP preconditioned resid norm 1.990965035897e+01 true resid norm >>>> 1.933504170956e+02 ||r(i)||/||b|| 6.472923890006e-01 >>>> 2 KSP preconditioned resid norm 6.941661213523e-05 true resid norm >>>> 7.058455368301e+01 ||r(i)||/||b|| 2.363007283167e-01 >>>> >>>> >>>>> On Sep 7, 2015, at 8:49 PM, Gideon Simpson <[email protected]> >>>>> wrote: >>>>> >>>>> Got it, fixing that, and returning to the original question, this is what >>>>> I now get, when I use those two flags: >>>>> >>>>> 0 SNES Function norm 1.132185384796e-08 >>>>> 0 KSP preconditioned resid norm 3.846486104194e-09 true resid norm >>>>> 1.132185384796e-08 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.813743504021e-14 true resid norm >>>>> 4.325870388320e-13 ||r(i)||/||b|| 3.820814547168e-05 >>>>> 1 SNES Function norm 2.177599365111e-12 >>>>> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE iterations 1 >>>>> 0 SNES Function norm 5.066222213176e+03 >>>>> 0 KSP preconditioned resid norm 3.135087050041e+01 true resid norm >>>>> 5.066222213176e+03 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.498184175046e-04 true resid norm >>>>> 4.217739703330e-01 ||r(i)||/||b|| 8.325216553590e-05 >>>>> 1 SNES Function norm 8.482593852817e+02 >>>>> 0 KSP preconditioned resid norm 2.667293100105e+02 true resid norm >>>>> 8.482593852817e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 8.682642450862e-02 true resid norm >>>>> 2.946982065167e+00 ||r(i)||/||b|| 3.474152029792e-03 >>>>> 2 KSP preconditioned resid norm 8.943933962588e-08 true resid norm >>>>> 1.594643891705e-01 ||r(i)||/||b|| 1.879901265314e-04 >>>>> 2 SNES Function norm 6.543140468549e+02 >>>>> 0 KSP preconditioned resid norm 1.538341367076e+02 true resid norm >>>>> 6.543140468549e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 8.294478035133e-03 true resid norm >>>>> 2.460794611648e-01 ||r(i)||/||b|| 3.760876942007e-04 >>>>> 2 KSP preconditioned resid norm 1.879002692918e-08 true resid norm >>>>> 6.977344225129e-02 ||r(i)||/||b|| 1.066360145968e-04 >>>>> 3 SNES Function norm 5.766430557220e+02 >>>>> 0 KSP preconditioned resid norm 1.362249760236e+02 true resid norm >>>>> 5.766430557220e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.565721843210e-02 true resid norm >>>>> 5.601235825427e-01 ||r(i)||/||b|| 9.713523417730e-04 >>>>> 2 KSP preconditioned resid norm 6.900043171759e-08 true resid norm >>>>> 6.087965439352e-02 ||r(i)||/||b|| 1.055759777030e-04 >>>>> 4 SNES Function norm 5.235211958260e+02 >>>>> 0 KSP preconditioned resid norm 1.533523981591e+02 true resid norm >>>>> 5.235211958260e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.030969535942e-02 true resid norm >>>>> 3.160110525368e-01 ||r(i)||/||b|| 6.036260901303e-04 >>>>> 2 KSP preconditioned resid norm 2.066614364159e-08 true resid norm >>>>> 6.884372743978e-02 ||r(i)||/||b|| 1.315013183586e-04 >>>>> 5 SNES Function norm 4.752913229649e+02 >>>>> 0 KSP preconditioned resid norm 1.848133067820e+02 true resid norm >>>>> 4.752913229649e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.745259702307e-02 true resid norm >>>>> 4.900437912538e-01 ||r(i)||/||b|| 1.031038791529e-03 >>>>> 2 KSP preconditioned resid norm 1.045643600156e-07 true resid norm >>>>> 8.388613982820e-02 ||r(i)||/||b|| 1.764941537432e-04 >>>>> 6 SNES Function norm 4.220255380391e+02 >>>>> 0 KSP preconditioned resid norm 2.549151165192e+02 true resid norm >>>>> 4.220255380391e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.794436126782e-02 true resid norm >>>>> 7.053097905720e-01 ||r(i)||/||b|| 1.671249076180e-03 >>>>> 2 KSP preconditioned resid norm 2.890094997586e-07 true resid norm >>>>> 1.285407273503e-01 ||r(i)||/||b|| 3.045804477795e-04 >>>>> 7 SNES Function norm 3.805408907074e+02 >>>>> 0 KSP preconditioned resid norm 5.225410707531e+02 true resid norm >>>>> 3.805408907074e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.810631909992e-03 true resid norm >>>>> 2.341273724704e-01 ||r(i)||/||b|| 6.152489211741e-04 >>>>> 8 SNES Function norm 3.764619752339e+02 >>>>> 0 KSP preconditioned resid norm 6.256830807263e+03 true resid norm >>>>> 3.764619752339e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.034356591467e+00 true resid norm >>>>> 1.404676339819e+01 ||r(i)||/||b|| 3.731256892403e-02 >>>>> 2 KSP preconditioned resid norm 1.014544916729e-05 true resid norm >>>>> 3.741004783833e+00 ||r(i)||/||b|| 9.937271304780e-03 >>>>> 9 SNES Function norm 3.761182227091e+02 >>>>> 0 KSP preconditioned resid norm 3.988264999623e+03 true resid norm >>>>> 3.761182227091e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.115167379340e-01 true resid norm >>>>> 6.409965438916e+00 ||r(i)||/||b|| 1.704242190858e-02 >>>>> 2 KSP preconditioned resid norm 1.515961219888e-06 true resid norm >>>>> 2.115087826060e+00 ||r(i)||/||b|| 5.623465438140e-03 >>>>> 10 SNES Function norm 3.740017190063e+02 >>>>> 0 KSP preconditioned resid norm 1.142561025658e+03 true resid norm >>>>> 3.740017190063e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.746046512685e-02 true resid norm >>>>> 7.402316700861e-01 ||r(i)||/||b|| 1.979219967365e-03 >>>>> 2 KSP preconditioned resid norm 1.588755510089e-06 true resid norm >>>>> 6.682186870202e-01 ||r(i)||/||b|| 1.786672769301e-03 >>>>> 11 SNES Function norm 3.725903477238e+02 >>>>> 0 KSP preconditioned resid norm 1.435759974780e+03 true resid norm >>>>> 3.725903477238e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 7.389097536786e-01 true resid norm >>>>> 9.211825929813e+00 ||r(i)||/||b|| 2.472373744003e-02 >>>>> 2 KSP preconditioned resid norm 2.785754916084e-06 true resid norm >>>>> 8.219867808452e-01 ||r(i)||/||b|| 2.206140835013e-03 >>>>> 12 SNES Function norm 3.716162097231e+02 >>>>> 0 KSP preconditioned resid norm 4.010267719047e+02 true resid norm >>>>> 3.716162097231e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.404383077173e-01 true resid norm >>>>> 2.467625408789e+00 ||r(i)||/||b|| 6.640252346978e-03 >>>>> 2 KSP preconditioned resid norm 8.431973894553e-07 true resid norm >>>>> 2.411034602455e-01 ||r(i)||/||b|| 6.487969414067e-04 >>>>> 13 SNES Function norm 3.674168632847e+02 >>>>> 0 KSP preconditioned resid norm 2.697546464095e+02 true resid norm >>>>> 3.674168632847e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.100811362173e-01 true resid norm >>>>> 1.260981844274e+00 ||r(i)||/||b|| 3.432019513205e-03 >>>>> 2 KSP preconditioned resid norm 8.921252511737e-07 true resid norm >>>>> 1.549846956307e-01 ||r(i)||/||b|| 4.218224886174e-04 >>>>> 14 SNES Function norm 3.532395445266e+02 >>>>> 0 KSP preconditioned resid norm 4.455211776575e+01 true resid norm >>>>> 3.532395445266e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.681410748806e-02 true resid norm >>>>> 7.130040117764e-02 ||r(i)||/||b|| 2.018471665543e-04 >>>>> 2 KSP preconditioned resid norm 1.060849362790e-07 true resid norm >>>>> 2.654058947496e-02 ||r(i)||/||b|| 7.513481966050e-05 >>>>> 15 SNES Function norm 3.182438872366e+02 >>>>> 0 KSP preconditioned resid norm 1.515566740696e+02 true resid norm >>>>> 3.182438872366e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.959786024091e-02 true resid norm >>>>> 5.035985128637e-01 ||r(i)||/||b|| 1.582429492163e-03 >>>>> 2 KSP preconditioned resid norm 2.945498964959e-07 true resid norm >>>>> 8.727232650514e-02 ||r(i)||/||b|| 2.742309593531e-04 >>>>> 16 SNES Function norm 3.091759892779e+02 >>>>> 0 KSP preconditioned resid norm 7.834551377727e+01 true resid norm >>>>> 3.091759892779e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.992168699741e-02 true resid norm >>>>> 5.040095342951e-01 ||r(i)||/||b|| 1.630170361781e-03 >>>>> 2 KSP preconditioned resid norm 3.192091055088e-07 true resid norm >>>>> 4.561900072730e-02 ||r(i)||/||b|| 1.475502701029e-04 >>>>> 17 SNES Function norm 2.987839504359e+02 >>>>> 0 KSP preconditioned resid norm 9.384044359119e+02 true resid norm >>>>> 2.987839504359e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.206851078700e-01 true resid norm >>>>> 1.939469657735e+00 ||r(i)||/||b|| 6.491210973364e-03 >>>>> 2 KSP preconditioned resid norm 1.074373330828e-06 true resid norm >>>>> 5.530732277225e-01 ||r(i)||/||b|| 1.851080778990e-03 >>>>> 18 SNES Function norm 2.987073622777e+02 >>>>> 0 KSP preconditioned resid norm 9.576546391157e+03 true resid norm >>>>> 2.987073622777e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.670797073017e+00 true resid norm >>>>> 3.409551583039e+01 ||r(i)||/||b|| 1.141435402542e-01 >>>>> 2 KSP preconditioned resid norm 2.278475684614e-05 true resid norm >>>>> 6.179819087650e+00 ||r(i)||/||b|| 2.068853958110e-02 >>>>> 19 SNES Function norm 2.987067936734e+02 >>>>> 0 KSP preconditioned resid norm 2.381986890301e+04 true resid norm >>>>> 2.987067936734e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.870471171439e+01 true resid norm >>>>> 2.593775594691e+02 ||r(i)||/||b|| 8.683349858880e-01 >>>>> 2 KSP preconditioned resid norm 1.628164409392e-04 true resid norm >>>>> 2.546845295549e+01 ||r(i)||/||b|| 8.526238269403e-02 >>>>> 20 SNES Function norm 2.987067502910e+02 >>>>> 0 KSP preconditioned resid norm 3.191539882357e+04 true resid norm >>>>> 2.987067502910e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.528735548091e+01 true resid norm >>>>> 1.390234679490e+02 ||r(i)||/||b|| 4.654178983689e-01 >>>>> 2 KSP preconditioned resid norm 5.890475574699e-05 true resid norm >>>>> 1.018047198868e+01 ||r(i)||/||b|| 3.408182767468e-02 >>>>> 21 SNES Function norm 2.987064584431e+02 >>>>> 0 KSP preconditioned resid norm 3.076322725615e+05 true resid norm >>>>> 2.987064584431e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.990965035897e+01 true resid norm >>>>> 1.933504170956e+02 ||r(i)||/||b|| 6.472923890006e-01 >>>>> 2 KSP preconditioned resid norm 6.941661213523e-05 true resid norm >>>>> 7.058455368301e+01 ||r(i)||/||b|| 2.363007283167e-01 >>>>> 22 SNES Function norm 2.987064525262e+02 >>>>> 0 KSP preconditioned resid norm 1.312500251239e+06 true resid norm >>>>> 2.987064525262e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.194187039215e+01 true resid norm >>>>> 2.898773744566e+02 ||r(i)||/||b|| 9.704422921065e-01 >>>>> 2 KSP preconditioned resid norm 2.998846844269e-04 true resid norm >>>>> 2.698070936922e+01 ||r(i)||/||b|| 9.032516419058e-02 >>>>> 23 SNES Function norm 2.987064121622e+02 >>>>> 0 KSP preconditioned resid norm 1.022854344216e+05 true resid norm >>>>> 2.987064121622e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 8.602644501358e+00 true resid norm >>>>> 8.634709464365e+01 ||r(i)||/||b|| 2.890701073962e-01 >>>>> 2 KSP preconditioned resid norm 9.288860381060e-05 true resid norm >>>>> 4.471246585837e+01 ||r(i)||/||b|| 1.496869971244e-01 >>>>> 24 SNES Function norm 2.987063973426e+02 >>>>> 0 KSP preconditioned resid norm 2.876191744212e+05 true resid norm >>>>> 2.987063973426e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.701586788162e+01 true resid norm >>>>> 4.356767962106e+02 ||r(i)||/||b|| 1.458545247395e+00 >>>>> 2 KSP preconditioned resid norm 1.533781032398e-04 true resid norm >>>>> 1.001779383020e+02 ||r(i)||/||b|| 3.353725905879e-01 >>>>> 25 SNES Function norm 2.987063920553e+02 >>>>> 0 KSP preconditioned resid norm 1.373321357604e+05 true resid norm >>>>> 2.987063920553e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.804687152206e+02 true resid norm >>>>> 2.541993895057e+03 ||r(i)||/||b|| 8.510008364956e+00 >>>>> 2 KSP preconditioned resid norm 2.556287913942e-03 true resid norm >>>>> 8.346997816018e+02 ||r(i)||/||b|| 2.794382054761e+00 >>>>> 26 SNES Function norm 2.987063919786e+02 >>>>> 0 KSP preconditioned resid norm 1.292036277396e+05 true resid norm >>>>> 2.987063919786e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.282180994978e+01 true resid norm >>>>> 2.073562667335e+02 ||r(i)||/||b|| 6.941808823037e-01 >>>>> 2 KSP preconditioned resid norm 1.163542587614e-04 true resid norm >>>>> 2.367571914844e+01 ||r(i)||/||b|| 7.926083868380e-02 >>>>> 27 SNES Function norm 2.987063393145e+02 >>>>> 0 KSP preconditioned resid norm 2.447152171843e+05 true resid norm >>>>> 2.987063393145e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.283727214797e+01 true resid norm >>>>> 2.070985084809e+02 ||r(i)||/||b|| 6.933180894527e-01 >>>>> 2 KSP preconditioned resid norm 4.585761865240e-04 true resid norm >>>>> 4.702442627021e+01 ||r(i)||/||b|| 1.574269443967e-01 >>>>> 28 SNES Function norm 2.987063253277e+02 >>>>> 0 KSP preconditioned resid norm 4.785016507221e+05 true resid norm >>>>> 2.987063253277e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.095374466008e+01 true resid norm >>>>> 3.817886040589e+02 ||r(i)||/||b|| 1.278140339479e+00 >>>>> 2 KSP preconditioned resid norm 9.617782709610e-05 true resid norm >>>>> 1.003348221878e+02 ||r(i)||/||b|| 3.358978825700e-01 >>>>> 29 SNES Function norm 2.987063197153e+02 >>>>> 0 KSP preconditioned resid norm 1.669977278077e+05 true resid norm >>>>> 2.987063197153e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.767902454807e+01 true resid norm >>>>> 2.821167168096e+02 ||r(i)||/||b|| 9.444618281879e-01 >>>>> 2 KSP preconditioned resid norm 6.086718418040e-04 true resid norm >>>>> 1.840415528667e+02 ||r(i)||/||b|| 6.161287549660e-01 >>>>> 30 SNES Function norm 2.987063193089e+02 >>>>> 0 KSP preconditioned resid norm 3.136061088127e+05 true resid norm >>>>> 2.987063193089e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.186362823355e+02 true resid norm >>>>> 1.132640635624e+03 ||r(i)||/||b|| 3.791820133718e+00 >>>>> 2 KSP preconditioned resid norm 6.719259676319e-04 true resid norm >>>>> 6.778160111686e+02 ||r(i)||/||b|| 2.269171983830e+00 >>>>> 31 SNES Function norm 2.987063192061e+02 >>>>> 0 KSP preconditioned resid norm 2.691271219294e+05 true resid norm >>>>> 2.987063192061e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.462251245099e+01 true resid norm >>>>> 4.074982952445e+02 ||r(i)||/||b|| 1.364210493864e+00 >>>>> 2 KSP preconditioned resid norm 1.183786013104e-04 true resid norm >>>>> 7.539314959670e+01 ||r(i)||/||b|| 2.523989107331e-01 >>>>> 32 SNES Function norm 2.987063094492e+02 >>>>> 0 KSP preconditioned resid norm 1.124446369819e+05 true resid norm >>>>> 2.987063094492e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 8.973907556421e+01 true resid norm >>>>> 8.420449781516e+02 ||r(i)||/||b|| 2.818972855660e+00 >>>>> 2 KSP preconditioned resid norm 7.374208523915e-04 true resid norm >>>>> 2.422646074110e+02 ||r(i)||/||b|| 8.110461672459e-01 >>>>> 33 SNES Function norm 2.987063089942e+02 >>>>> 0 KSP preconditioned resid norm 1.329193031679e+05 true resid norm >>>>> 2.987063089942e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.183766435760e+01 true resid norm >>>>> 2.005487212339e+02 ||r(i)||/||b|| 6.713909790161e-01 >>>>> 2 KSP preconditioned resid norm 6.941412108263e-05 true resid norm >>>>> 2.615656494311e+01 ||r(i)||/||b|| 8.756616166289e-02 >>>>> 34 SNES Function norm 2.987062660109e+02 >>>>> 0 KSP preconditioned resid norm 3.096972895505e+05 true resid norm >>>>> 2.987062660109e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.733316558393e+01 true resid norm >>>>> 3.375691658619e+02 ||r(i)||/||b|| 1.130104066346e+00 >>>>> 2 KSP preconditioned resid norm 2.068548659549e-04 true resid norm >>>>> 3.231989034216e+01 ||r(i)||/||b|| 1.081995726898e-01 >>>>> 35 SNES Function norm 2.987062107900e+02 >>>>> 0 KSP preconditioned resid norm 6.499649833972e+04 true resid norm >>>>> 2.987062107900e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.096524448730e+01 true resid norm >>>>> 2.899705639690e+02 ||r(i)||/||b|| 9.707550546139e-01 >>>>> 2 KSP preconditioned resid norm 1.801709551672e-04 true resid norm >>>>> 7.425681993520e+01 ||r(i)||/||b|| 2.485948308166e-01 >>>>> 36 SNES Function norm 2.987062055224e+02 >>>>> 0 KSP preconditioned resid norm 8.633609234208e+04 true resid norm >>>>> 2.987062055224e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.229972441154e+01 true resid norm >>>>> 1.120738026723e+02 ||r(i)||/||b|| 3.751974368137e-01 >>>>> 2 KSP preconditioned resid norm 5.664496361269e-05 true resid norm >>>>> 3.120682958584e+01 ||r(i)||/||b|| 1.044733219763e-01 >>>>> 37 SNES Function norm 2.987061774798e+02 >>>>> 0 KSP preconditioned resid norm 4.344743984989e+05 true resid norm >>>>> 2.987061774798e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 2.372624802517e+01 true resid norm >>>>> 2.243904583149e+02 ||r(i)||/||b|| 7.512079603043e-01 >>>>> 2 KSP preconditioned resid norm 2.527665232153e-04 true resid norm >>>>> 7.229322099941e+01 ||r(i)||/||b|| 2.420211781669e-01 >>>>> 38 SNES Function norm 2.987061715400e+02 >>>>> 0 KSP preconditioned resid norm 5.756130938265e+05 true resid norm >>>>> 2.987061715400e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 4.629319937995e+01 true resid norm >>>>> 4.389108492088e+02 ||r(i)||/||b|| 1.469373220332e+00 >>>>> 2 KSP preconditioned resid norm 8.099878702234e-04 true resid norm >>>>> 1.923430480373e+02 ||r(i)||/||b|| 6.439205693195e-01 >>>>> 39 SNES Function norm 2.987061699634e+02 >>>>> 0 KSP preconditioned resid norm 2.326428261777e+05 true resid norm >>>>> 2.987061699634e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 1.756089168490e+01 true resid norm >>>>> 1.659759863394e+02 ||r(i)||/||b|| 5.556496752635e-01 >>>>> 2 KSP preconditioned resid norm 1.956105557949e-04 true resid norm >>>>> 6.351047187913e+01 ||r(i)||/||b|| 2.126185471392e-01 >>>>> 40 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 4.133259484912e+07 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.296568492777e+01 true resid norm >>>>> 3.022811302762e+02 ||r(i)||/||b|| 1.011968173786e+00 >>>>> 41 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 4.124224624453e+07 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.219934148122e+01 true resid norm >>>>> 3.144341309207e+02 ||r(i)||/||b|| 1.052653643822e+00 >>>>> 42 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 5.748707463105e+08 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.291843121908e+01 true resid norm >>>>> 3.293271430969e+02 ||r(i)||/||b|| 1.102512046562e+00 >>>>> 43 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 1.022718794881e+09 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.314705152175e+01 true resid norm >>>>> 3.015751234379e+02 ||r(i)||/||b|| 1.009604624165e+00 >>>>> 44 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 5.380361366230e+08 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.237699578864e+01 true resid norm >>>>> 3.185658867057e+02 ||r(i)||/||b|| 1.066485818369e+00 >>>>> 45 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 6.303672864381e+08 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.789746869236e+01 true resid norm >>>>> 4.518602376852e+02 ||r(i)||/||b|| 1.512724856888e+00 >>>>> 46 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 3.428971983722e+09 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.314776104627e+01 true resid norm >>>>> 2.999404779745e+02 ||r(i)||/||b|| 1.004132204557e+00 >>>>> 47 SNES Function norm 2.987061630064e+02 >>>>> 0 KSP preconditioned resid norm 5.189185292378e+09 true resid norm >>>>> 2.987061630064e+02 ||r(i)||/||b|| 1.000000000000e+00 >>>>> 1 KSP preconditioned resid norm 3.191097159135e+01 true resid norm >>>>> 3.466943097246e+02 ||r(i)||/||b|| 1.160653353233e+00 >>>>> Nonlinear solve did not converge due to DIVERGED_LINE_SEARCH iterations 47 >>>>> >>>>> >>>>> -gideon >>>>> >>>>>> On Sep 7, 2015, at 9:39 PM, Barry Smith <[email protected]> wrote: >>>>>> >>>>>> >>>>>> This indicates that somewhere in your ComputeJacobian you are setting >>>>>> matrix entries with the first Mat argument when you should always set >>>>>> them with the second matrix argument. For example if you have >>>>>> >>>>>> ComputeJacobian(SNES snes,Vec x, Mat J, Mat jpre,void *ctx) >>>>>> >>>>>> you should call all the MatSetValues() with jpre, no J. Then at the end >>>>>> of the function you should call MatAssemblyBegin/End() on jpre then on J >>>>>> if J is not == jpre see for example src/snes/examples/tutorials/ex1.c >>>>>> >>>>>> This is a minor glitch we'll get past. >>>>>> >>>>>> Barry >>>>>> >>>>>>> On Sep 7, 2015, at 8:32 PM, Gideon Simpson <[email protected]> >>>>>>> wrote: >>>>>>> >>>>>>> By the way, I tried using a different petsc installation, and now, >>>>>>> rather than the segmentation fault, I get the following error: >>>>>>> >>>>>>> [0]PETSC ERROR: --------------------- Error Message >>>>>>> -------------------------------------------------------------- >>>>>>> [0]PETSC ERROR: No support for this operation for this object type >>>>>>> [0]PETSC ERROR: Mat type mffd >>>>>>> [0]PETSC ERROR: See http://www.mcs.anl.gov/petsc/documentation/faq.html >>>>>>> for trouble shooting. >>>>>>> [0]PETSC ERROR: Petsc Release Version 3.5.4, May, 23, 2015 >>>>>>> [0]PETSC ERROR: ./blowup_batch_refine on a arch-darwin-c-debug named >>>>>>> gs_air by gideon Mon Sep 7 21:32:18 2015 >>>>>>> [0]PETSC ERROR: Configure options --download-mpich=yes >>>>>>> --download-suitesparse=yes --download-superlu=yes >>>>>>> --download-superlu_dist=yes --download-mumps=yes --download-sprng=yes >>>>>>> --with-cxx=clang++ --with-cc=clang --with-fc=gfortran >>>>>>> --download-metis=yes --download-parmetis=yes --download-scalapack=yes >>>>>>> [0]PETSC ERROR: #3892 MatSetValues() line 1116 in >>>>>>> /opt/petsc-3.5.4/src/mat/interface/matrix.c >>>>>>> >>>>>>> -gideon >>>>>>> >>>>>>>> On Sep 7, 2015, at 9:22 PM, Barry Smith <[email protected]> wrote: >>>>>>>> >>>>>>>> >>>>>>>> Hmm, >>>>>>>> >>>>>>>> Ok you can try running it directly in the debugger since it is one >>>>>>>> process, type >>>>>>>> >>>>>>>> gdb ./blowup_batch_refine >>>>>>>> >>>>>>>> then >>>>>>>> >>>>>>>> when the debugger comes up (if it does not cut and paste all output >>>>>>>> and send it) >>>>>>>> >>>>>>>> run -on_error_abort -snes_mf_operator and any other options you >>>>>>>> normally use >>>>>>>> >>>>>>>> >>>>>>>> Barry >>>>>>>> >>>>>>>>> On Sep 7, 2015, at 8:18 PM, Gideon Simpson <[email protected]> >>>>>>>>> wrote: >>>>>>>>> >>>>>>>>> Running with that flag gives me this: >>>>>>>>> >>>>>>>>> [0]PETSC ERROR: PETSC: Attaching gdb to ./blowup_batch_refine of pid >>>>>>>>> 16111 on gs_air >>>>>>>>> Unable to start debugger: No such file or directory >>>>>>>>> >>>>>>>>> >>>>>>>>> >>>>>>>>> -gideon >>>>>>>>> >>>>>>>>>> On Sep 7, 2015, at 9:11 PM, Barry Smith <[email protected]> wrote: >>>>>>>>>> >>>>>>>>>> >>>>>>>>>> This should not happen. Run with a debug version of PETSc installed >>>>>>>>>> and the option -start_in_debugger noxterm Once the debugger starts >>>>>>>>>> up type cont and when it crashes type where or bt Send all output >>>>>>>>>> >>>>>>>>>> >>>>>>>>>> >>>>>>>>>> Barry >>>>>>>>>> >>>>>>>>>> >>>>>>>>>>> On Sep 7, 2015, at 8:09 PM, Gideon Simpson >>>>>>>>>>> <[email protected]> wrote: >>>>>>>>>>> >>>>>>>>>>> I’m getting an error with -snes_mf_operator, >>>>>>>>>>> >>>>>>>>>>> 0 SNES Function norm 1.421454390131e-02 >>>>>>>>>>> [0]PETSC ERROR: >>>>>>>>>>> ------------------------------------------------------------------------ >>>>>>>>>>> [0]PETSC ERROR: Caught signal number 11 SEGV: Segmentation >>>>>>>>>>> Violation, probably memory access out of range >>>>>>>>>>> [0]PETSC ERROR: Try option -start_in_debugger or >>>>>>>>>>> -on_error_attach_debugger >>>>>>>>>>> [0]PETSC ERROR: or see >>>>>>>>>>> http://www.mcs.anl.gov/petsc/documentation/faq.html#valgrind >>>>>>>>>>> [0]PETSC ERROR: or try http://valgrind.org on GNU/linux and Apple >>>>>>>>>>> Mac OS X to find memory corruption errors >>>>>>>>>>> [0]PETSC ERROR: configure using --with-debugging=yes, recompile, >>>>>>>>>>> link, and run >>>>>>>>>>> [0]PETSC ERROR: to get more information on the crash. >>>>>>>>>>> [0]PETSC ERROR: --------------------- Error Message >>>>>>>>>>> -------------------------------------------------------------- >>>>>>>>>>> [0]PETSC ERROR: Signal received >>>>>>>>>>> [0]PETSC ERROR: See >>>>>>>>>>> http://www.mcs.anl.gov/petsc/documentation/faq.html for trouble >>>>>>>>>>> shooting. >>>>>>>>>>> [0]PETSC ERROR: Petsc Release Version 3.5.3, unknown >>>>>>>>>>> [0]PETSC ERROR: ./blowup_batch_refine on a arch-macports named >>>>>>>>>>> gs_air by gideon Mon Sep 7 21:08:19 2015 >>>>>>>>>>> [0]PETSC ERROR: Configure options --prefix=/opt/local >>>>>>>>>>> --prefix=/opt/local/lib/petsc --with-valgrind=0 >>>>>>>>>>> --with-shared-libraries --with-debugging=0 >>>>>>>>>>> --with-c2html-dir=/opt/local --with-x=0 >>>>>>>>>>> --with-blas-lapack-lib=/System/Library/Frameworks/Accelerate.framework/Versions/Current/Accelerate >>>>>>>>>>> --with-hwloc-dir=/opt/local --with-suitesparse-dir=/opt/local >>>>>>>>>>> --with-superlu-dir=/opt/local --with-metis-dir=/opt/local >>>>>>>>>>> --with-parmetis-dir=/opt/local --with-scalapack-dir=/opt/local >>>>>>>>>>> --with-mumps-dir=/opt/local --with-superlu_dist-dir=/opt/local >>>>>>>>>>> CC=/opt/local/bin/mpicc-mpich-mp CXX=/opt/local/bin/mpicxx-mpich-mp >>>>>>>>>>> FC=/opt/local/bin/mpif90-mpich-mp >>>>>>>>>>> F77=/opt/local/bin/mpif90-mpich-mp >>>>>>>>>>> F90=/opt/local/bin/mpif90-mpich-mp COPTFLAGS=-Os CXXOPTFLAGS=-Os >>>>>>>>>>> FOPTFLAGS=-Os LDFLAGS="-L/opt/local/lib >>>>>>>>>>> -Wl,-headerpad_max_install_names" CPPFLAGS=-I/opt/local/include >>>>>>>>>>> CFLAGS="-Os -arch x86_64" CXXFLAGS=-Os FFLAGS=-Os FCFLAGS=-Os >>>>>>>>>>> F90FLAGS=-Os PETSC_ARCH=arch-macports >>>>>>>>>>> --with-mpiexec=mpiexec-mpich-mp >>>>>>>>>>> [0]PETSC ERROR: #1 User provided function() line 0 in unknown file >>>>>>>>>>> application called MPI_Abort(MPI_COMM_WORLD, 59) - process 0 >>>>>>>>>>> >>>>>>>>>>> -gideon >>>>>>>>>>> >>>>>>>>>>>> On Sep 7, 2015, at 9:01 PM, Barry Smith <[email protected]> wrote: >>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>>> My guess is the Jacobian is not correct (or correct "enough"), >>>>>>>>>>>> hence PETSc SNES is generating a poor descent direction. You can >>>>>>>>>>>> try >>>>>>>>>>>> -snes_mf_operator -ksp_monitor_true residual as additional >>>>>>>>>>>> arguments. What happens? >>>>>>>>>>>> >>>>>>>>>>>> Barry >>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>>>> On Sep 7, 2015, at 7:49 PM, Gideon Simpson >>>>>>>>>>>>> <[email protected]> wrote: >>>>>>>>>>>>> >>>>>>>>>>>>> No problem Matt, I don’t think we had previously discussed that >>>>>>>>>>>>> output. Here is a case where things fail. >>>>>>>>>>>>> >>>>>>>>>>>>> 0 SNES Function norm 4.027481756921e-09 >>>>>>>>>>>>> 1 SNES Function norm 1.760477878365e-12 >>>>>>>>>>>>> Nonlinear solve converged due to CONVERGED_SNORM_RELATIVE >>>>>>>>>>>>> iterations 1 >>>>>>>>>>>>> 0 SNES Function norm 5.066222213176e+03 >>>>>>>>>>>>> 1 SNES Function norm 8.484697184230e+02 >>>>>>>>>>>>> 2 SNES Function norm 6.549559723294e+02 >>>>>>>>>>>>> 3 SNES Function norm 5.770723278153e+02 >>>>>>>>>>>>> 4 SNES Function norm 5.237702240594e+02 >>>>>>>>>>>>> 5 SNES Function norm 4.753909019848e+02 >>>>>>>>>>>>> 6 SNES Function norm 4.221784590755e+02 >>>>>>>>>>>>> 7 SNES Function norm 3.806525080483e+02 >>>>>>>>>>>>> 8 SNES Function norm 3.762054656019e+02 >>>>>>>>>>>>> 9 SNES Function norm 3.758975226873e+02 >>>>>>>>>>>>> 10 SNES Function norm 3.757032042706e+02 >>>>>>>>>>>>> 11 SNES Function norm 3.728798164234e+02 >>>>>>>>>>>>> 12 SNES Function norm 3.723078741075e+02 >>>>>>>>>>>>> 13 SNES Function norm 3.721848059825e+02 >>>>>>>>>>>>> 14 SNES Function norm 3.720227575629e+02 >>>>>>>>>>>>> 15 SNES Function norm 3.720051998555e+02 >>>>>>>>>>>>> 16 SNES Function norm 3.718945430587e+02 >>>>>>>>>>>>> 17 SNES Function norm 3.700412694044e+02 >>>>>>>>>>>>> 18 SNES Function norm 3.351964889461e+02 >>>>>>>>>>>>> 19 SNES Function norm 3.096016086233e+02 >>>>>>>>>>>>> 20 SNES Function norm 3.008410789787e+02 >>>>>>>>>>>>> 21 SNES Function norm 2.752316716557e+02 >>>>>>>>>>>>> 22 SNES Function norm 2.707658474165e+02 >>>>>>>>>>>>> 23 SNES Function norm 2.698436736049e+02 >>>>>>>>>>>>> 24 SNES Function norm 2.618233857172e+02 >>>>>>>>>>>>> 25 SNES Function norm 2.600121920634e+02 >>>>>>>>>>>>> 26 SNES Function norm 2.585046423168e+02 >>>>>>>>>>>>> 27 SNES Function norm 2.568551090220e+02 >>>>>>>>>>>>> 28 SNES Function norm 2.556404537064e+02 >>>>>>>>>>>>> 29 SNES Function norm 2.536353523683e+02 >>>>>>>>>>>>> 30 SNES Function norm 2.533596070171e+02 >>>>>>>>>>>>> 31 SNES Function norm 2.532324379596e+02 >>>>>>>>>>>>> 32 SNES Function norm 2.531842335211e+02 >>>>>>>>>>>>> 33 SNES Function norm 2.531684527520e+02 >>>>>>>>>>>>> 34 SNES Function norm 2.531637604618e+02 >>>>>>>>>>>>> 35 SNES Function norm 2.531624767821e+02 >>>>>>>>>>>>> 36 SNES Function norm 2.531621359093e+02 >>>>>>>>>>>>> 37 SNES Function norm 2.531620504925e+02 >>>>>>>>>>>>> 38 SNES Function norm 2.531620350055e+02 >>>>>>>>>>>>> 39 SNES Function norm 2.531620310522e+02 >>>>>>>>>>>>> 40 SNES Function norm 2.531620300471e+02 >>>>>>>>>>>>> 41 SNES Function norm 2.531620298084e+02 >>>>>>>>>>>>> 42 SNES Function norm 2.531620297478e+02 >>>>>>>>>>>>> 43 SNES Function norm 2.531620297324e+02 >>>>>>>>>>>>> 44 SNES Function norm 2.531620297303e+02 >>>>>>>>>>>>> 45 SNES Function norm 2.531620297302e+02 >>>>>>>>>>>>> Nonlinear solve did not converge due to DIVERGED_LINE_SEARCH >>>>>>>>>>>>> iterations 45 >>>>>>>>>>>>> 0 SNES Function norm 9.636339304380e+03 >>>>>>>>>>>>> 1 SNES Function norm 8.997731184634e+03 >>>>>>>>>>>>> 2 SNES Function norm 8.120498349232e+03 >>>>>>>>>>>>> 3 SNES Function norm 7.322379894820e+03 >>>>>>>>>>>>> 4 SNES Function norm 6.599581599149e+03 >>>>>>>>>>>>> 5 SNES Function norm 6.374872854688e+03 >>>>>>>>>>>>> 6 SNES Function norm 6.372518007653e+03 >>>>>>>>>>>>> 7 SNES Function norm 6.073996314301e+03 >>>>>>>>>>>>> 8 SNES Function norm 5.635965277054e+03 >>>>>>>>>>>>> 9 SNES Function norm 5.155389064046e+03 >>>>>>>>>>>>> 10 SNES Function norm 5.080567902638e+03 >>>>>>>>>>>>> 11 SNES Function norm 5.058878643969e+03 >>>>>>>>>>>>> 12 SNES Function norm 5.058835649793e+03 >>>>>>>>>>>>> 13 SNES Function norm 5.058491285707e+03 >>>>>>>>>>>>> 14 SNES Function norm 5.057452865337e+03 >>>>>>>>>>>>> 15 SNES Function norm 5.057226140688e+03 >>>>>>>>>>>>> 16 SNES Function norm 5.056651272898e+03 >>>>>>>>>>>>> 17 SNES Function norm 5.056575190057e+03 >>>>>>>>>>>>> 18 SNES Function norm 5.056574632598e+03 >>>>>>>>>>>>> 19 SNES Function norm 5.056574520229e+03 >>>>>>>>>>>>> 20 SNES Function norm 5.056574492569e+03 >>>>>>>>>>>>> 21 SNES Function norm 5.056574485124e+03 >>>>>>>>>>>>> 22 SNES Function norm 5.056574483029e+03 >>>>>>>>>>>>> 23 SNES Function norm 5.056574482427e+03 >>>>>>>>>>>>> 24 SNES Function norm 5.056574482302e+03 >>>>>>>>>>>>> 25 SNES Function norm 5.056574482287e+03 >>>>>>>>>>>>> 26 SNES Function norm 5.056574482282e+03 >>>>>>>>>>>>> 27 SNES Function norm 5.056574482281e+03 >>>>>>>>>>>>> Nonlinear solve did not converge due to DIVERGED_LINE_SEARCH >>>>>>>>>>>>> iterations 27 >>>>>>>>>>>>> SNES Object: 1 MPI processes >>>>>>>>>>>>> type: newtonls >>>>>>>>>>>>> maximum iterations=50, maximum function evaluations=10000 >>>>>>>>>>>>> tolerances: relative=1e-08, absolute=1e-50, solution=1e-08 >>>>>>>>>>>>> total number of linear solver iterations=28 >>>>>>>>>>>>> total number of function evaluations=323 >>>>>>>>>>>>> total number of grid sequence refinements=2 >>>>>>>>>>>>> SNESLineSearch Object: 1 MPI processes >>>>>>>>>>>>> type: bt >>>>>>>>>>>>> interpolation: cubic >>>>>>>>>>>>> alpha=1.000000e-04 >>>>>>>>>>>>> maxstep=1.000000e+08, minlambda=1.000000e-12 >>>>>>>>>>>>> tolerances: relative=1.000000e-08, absolute=1.000000e-15, >>>>>>>>>>>>> lambda=1.000000e-08 >>>>>>>>>>>>> maximum iterations=40 >>>>>>>>>>>>> KSP Object: 1 MPI processes >>>>>>>>>>>>> type: gmres >>>>>>>>>>>>> GMRES: restart=30, using Classical (unmodified) Gram-Schmidt >>>>>>>>>>>>> Orthogonalization with no iterative refinement >>>>>>>>>>>>> GMRES: happy breakdown tolerance 1e-30 >>>>>>>>>>>>> maximum iterations=10000, initial guess is zero >>>>>>>>>>>>> tolerances: relative=1e-05, absolute=1e-50, divergence=10000 >>>>>>>>>>>>> left preconditioning >>>>>>>>>>>>> using PRECONDITIONED norm type for convergence test >>>>>>>>>>>>> PC Object: 1 MPI processes >>>>>>>>>>>>> type: lu >>>>>>>>>>>>> LU: out-of-place factorization >>>>>>>>>>>>> tolerance for zero pivot 2.22045e-14 >>>>>>>>>>>>> matrix ordering: nd >>>>>>>>>>>>> factor fill ratio given 0, needed 0 >>>>>>>>>>>>> Factored matrix follows: >>>>>>>>>>>>> Mat Object: 1 MPI processes >>>>>>>>>>>>> type: seqaij >>>>>>>>>>>>> rows=15991, cols=15991 >>>>>>>>>>>>> package used to perform factorization: mumps >>>>>>>>>>>>> total: nonzeros=255801, allocated nonzeros=255801 >>>>>>>>>>>>> total number of mallocs used during MatSetValues calls =0 >>>>>>>>>>>>> MUMPS run parameters: >>>>>>>>>>>>> SYM (matrix type): 0 >>>>>>>>>>>>> PAR (host participation): 1 >>>>>>>>>>>>> ICNTL(1) (output for error): 6 >>>>>>>>>>>>> ICNTL(2) (output of diagnostic msg): 0 >>>>>>>>>>>>> ICNTL(3) (output for global info): 0 >>>>>>>>>>>>> ICNTL(4) (level of printing): 0 >>>>>>>>>>>>> ICNTL(5) (input mat struct): 0 >>>>>>>>>>>>> ICNTL(6) (matrix prescaling): 7 >>>>>>>>>>>>> ICNTL(7) (sequentia matrix ordering):6 >>>>>>>>>>>>> ICNTL(8) (scalling strategy): 77 >>>>>>>>>>>>> ICNTL(10) (max num of refinements): 0 >>>>>>>>>>>>> ICNTL(11) (error analysis): 0 >>>>>>>>>>>>> ICNTL(12) (efficiency control): >>>>>>>>>>>>> 1 >>>>>>>>>>>>> ICNTL(13) (efficiency control): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(14) (percentage of estimated workspace increase): >>>>>>>>>>>>> 20 >>>>>>>>>>>>> ICNTL(18) (input mat struct): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(19) (Shur complement info): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(20) (rhs sparse pattern): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(21) (somumpstion struct): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(22) (in-core/out-of-core facility): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(23) (max size of memory can be allocated >>>>>>>>>>>>> locally):0 >>>>>>>>>>>>> ICNTL(24) (detection of null pivot rows): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(25) (computation of a null space basis): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(26) (Schur options for rhs or solution): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(27) (experimental parameter): >>>>>>>>>>>>> -8 >>>>>>>>>>>>> ICNTL(28) (use parallel or sequential ordering): >>>>>>>>>>>>> 1 >>>>>>>>>>>>> ICNTL(29) (parallel ordering): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(30) (user-specified set of entries in inv(A)): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(31) (factors is discarded in the solve phase): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> ICNTL(33) (compute determinant): >>>>>>>>>>>>> 0 >>>>>>>>>>>>> CNTL(1) (relative pivoting threshold): 0.01 >>>>>>>>>>>>> CNTL(2) (stopping criterion of refinement): 1.49012e-08 >>>>>>>>>>>>> CNTL(3) (absomumpste pivoting threshold): 0 >>>>>>>>>>>>> CNTL(4) (vamumpse of static pivoting): -1 >>>>>>>>>>>>> CNTL(5) (fixation for null pivots): 0 >>>>>>>>>>>>> RINFO(1) (local estimated flops for the elimination >>>>>>>>>>>>> after analysis): >>>>>>>>>>>>> [0] 1.95838e+06 >>>>>>>>>>>>> RINFO(2) (local estimated flops for the assembly after >>>>>>>>>>>>> factorization): >>>>>>>>>>>>> [0] 143924 >>>>>>>>>>>>> RINFO(3) (local estimated flops for the elimination >>>>>>>>>>>>> after factorization): >>>>>>>>>>>>> [0] 1.95943e+06 >>>>>>>>>>>>> INFO(15) (estimated size of (in MB) MUMPS internal data >>>>>>>>>>>>> for running numerical factorization): >>>>>>>>>>>>> [0] 7 >>>>>>>>>>>>> INFO(16) (size of (in MB) MUMPS internal data used >>>>>>>>>>>>> during numerical factorization): >>>>>>>>>>>>> [0] 7 >>>>>>>>>>>>> INFO(23) (num of pivots eliminated on this processor >>>>>>>>>>>>> after factorization): >>>>>>>>>>>>> [0] 15991 >>>>>>>>>>>>> RINFOG(1) (global estimated flops for the elimination >>>>>>>>>>>>> after analysis): 1.95838e+06 >>>>>>>>>>>>> RINFOG(2) (global estimated flops for the assembly after >>>>>>>>>>>>> factorization): 143924 >>>>>>>>>>>>> RINFOG(3) (global estimated flops for the elimination >>>>>>>>>>>>> after factorization): 1.95943e+06 >>>>>>>>>>>>> (RINFOG(12) RINFOG(13))*2^INFOG(34) (determinant): >>>>>>>>>>>>> (0,0)*(2^0) >>>>>>>>>>>>> INFOG(3) (estimated real workspace for factors on all >>>>>>>>>>>>> processors after analysis): 255801 >>>>>>>>>>>>> INFOG(4) (estimated integer workspace for factors on all >>>>>>>>>>>>> processors after analysis): 127874 >>>>>>>>>>>>> INFOG(5) (estimated maximum front size in the complete >>>>>>>>>>>>> tree): 11 >>>>>>>>>>>>> INFOG(6) (number of nodes in the complete tree): 3996 >>>>>>>>>>>>> INFOG(7) (ordering option effectively use after >>>>>>>>>>>>> analysis): 6 >>>>>>>>>>>>> INFOG(8) (structural symmetry in percent of the permuted >>>>>>>>>>>>> matrix after analysis): 86 >>>>>>>>>>>>> INFOG(9) (total real/complex workspace to store the >>>>>>>>>>>>> matrix factors after factorization): 255865 >>>>>>>>>>>>> INFOG(10) (total integer space store the matrix factors >>>>>>>>>>>>> after factorization): 127890 >>>>>>>>>>>>> INFOG(11) (order of largest frontal matrix after >>>>>>>>>>>>> factorization): 11 >>>>>>>>>>>>> INFOG(12) (number of off-diagonal pivots): 19 >>>>>>>>>>>>> INFOG(13) (number of delayed pivots after >>>>>>>>>>>>> factorization): 8 >>>>>>>>>>>>> INFOG(14) (number of memory compress after >>>>>>>>>>>>> factorization): 0 >>>>>>>>>>>>> INFOG(15) (number of steps of iterative refinement after >>>>>>>>>>>>> solution): 0 >>>>>>>>>>>>> INFOG(16) (estimated size (in MB) of all MUMPS internal >>>>>>>>>>>>> data for factorization after analysis: value on the most memory >>>>>>>>>>>>> consuming processor): 7 >>>>>>>>>>>>> INFOG(17) (estimated size of all MUMPS internal data for >>>>>>>>>>>>> factorization after analysis: sum over all processors): 7 >>>>>>>>>>>>> INFOG(18) (size of all MUMPS internal data allocated >>>>>>>>>>>>> during factorization: value on the most memory consuming >>>>>>>>>>>>> processor): 7 >>>>>>>>>>>>> INFOG(19) (size of all MUMPS internal data allocated >>>>>>>>>>>>> during factorization: sum over all processors): 7 >>>>>>>>>>>>> INFOG(20) (estimated number of entries in the factors): >>>>>>>>>>>>> 255801 >>>>>>>>>>>>> INFOG(21) (size in MB of memory effectively used during >>>>>>>>>>>>> factorization - value on the most memory consuming processor): 7 >>>>>>>>>>>>> INFOG(22) (size in MB of memory effectively used during >>>>>>>>>>>>> factorization - sum over all processors): 7 >>>>>>>>>>>>> INFOG(23) (after analysis: value of ICNTL(6) effectively >>>>>>>>>>>>> used): 0 >>>>>>>>>>>>> INFOG(24) (after analysis: value of ICNTL(12) >>>>>>>>>>>>> effectively used): 1 >>>>>>>>>>>>> INFOG(25) (after factorization: number of pivots >>>>>>>>>>>>> modified by static pivoting): 0 >>>>>>>>>>>>> INFOG(28) (after factorization: number of null pivots >>>>>>>>>>>>> encountered): 0 >>>>>>>>>>>>> INFOG(29) (after factorization: effective number of >>>>>>>>>>>>> entries in the factors (sum over all processors)): 255865 >>>>>>>>>>>>> INFOG(30, 31) (after solution: size in Mbytes of memory >>>>>>>>>>>>> used during solution phase): 5, 5 >>>>>>>>>>>>> INFOG(32) (after analysis: type of analysis done): 1 >>>>>>>>>>>>> INFOG(33) (value used for ICNTL(8)): 7 >>>>>>>>>>>>> INFOG(34) (exponent of the determinant if determinant is >>>>>>>>>>>>> requested): 0 >>>>>>>>>>>>> linear system matrix = precond matrix: >>>>>>>>>>>>> Mat Object: 1 MPI processes >>>>>>>>>>>>> type: seqaij >>>>>>>>>>>>> rows=15991, cols=15991 >>>>>>>>>>>>> total: nonzeros=223820, allocated nonzeros=431698 >>>>>>>>>>>>> total number of mallocs used during MatSetValues calls =15991 >>>>>>>>>>>>> using I-node routines: found 4000 nodes, limit used is 5 >>>>>>>>>>>>> >>>>>>>>>>>>> >>>>>>>>>>>>> >>>>>>>>>>>>> >>>>>>>>>>>>> -gideon >>>>>>>>>>>>> >>>>>>>>>>>>>> On Sep 7, 2015, at 8:40 PM, Matthew Knepley <[email protected]> >>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>> >>>>>>>>>>>>>> On Mon, Sep 7, 2015 at 7:32 PM, Gideon Simpson >>>>>>>>>>>>>> <[email protected]> wrote: >>>>>>>>>>>>>> Barry, >>>>>>>>>>>>>> >>>>>>>>>>>>>> I finally got a chance to really try using the grid sequencing >>>>>>>>>>>>>> within my code. I find that, in some cases, even if it can >>>>>>>>>>>>>> solve successfully on the coarsest mesh, the SNES fails, usually >>>>>>>>>>>>>> due to a line search failure, when it tries to compute along the >>>>>>>>>>>>>> grid sequence. Would you have any suggestions? >>>>>>>>>>>>>> >>>>>>>>>>>>>> I apologize if I have asked before, but can you give me >>>>>>>>>>>>>> -snes_view for the solver? I could not find it in the email >>>>>>>>>>>>>> thread. >>>>>>>>>>>>>> >>>>>>>>>>>>>> I would suggest trying to fiddle with the line search, or >>>>>>>>>>>>>> precondition it with Richardson. It would be nice to see >>>>>>>>>>>>>> -snes_monitor >>>>>>>>>>>>>> for the runs that fail, and then we can break down the residual >>>>>>>>>>>>>> into fields and look at it again (if my custom residual monitor >>>>>>>>>>>>>> does not work we can write one easily). Seeing which part of the >>>>>>>>>>>>>> residual does not converge is key to designing the NASM >>>>>>>>>>>>>> for the problem. I have just seen the virtuoso of this, >>>>>>>>>>>>>> Xiao-Chuan Cai, present it. We need better monitoring in PETSc. >>>>>>>>>>>>>> >>>>>>>>>>>>>> Thanks, >>>>>>>>>>>>>> >>>>>>>>>>>>>> Matt >>>>>>>>>>>>>> >>>>>>>>>>>>>> -gideon >>>>>>>>>>>>>> >>>>>>>>>>>>>>> On Aug 28, 2015, at 4:21 PM, Barry Smith <[email protected]> >>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> On Aug 28, 2015, at 3:04 PM, Gideon Simpson >>>>>>>>>>>>>>>> <[email protected]> wrote: >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> Yes, if i continue in this parameter on the coarse mesh, I can >>>>>>>>>>>>>>>> generally solve at all values. I do find that I need to do >>>>>>>>>>>>>>>> some amount of continuation to solve near the endpoint. The >>>>>>>>>>>>>>>> problem is that on the coarse mesh, things are not fully >>>>>>>>>>>>>>>> resolved at all the values along the continuation parameter, >>>>>>>>>>>>>>>> and I would like to do refinement. >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> One subtlety is that I actually want the intermediate >>>>>>>>>>>>>>>> continuation solutions too. Currently, without doing any >>>>>>>>>>>>>>>> grid sequence, I compute each, write it to disk, and then go >>>>>>>>>>>>>>>> on to the next one. So I now need to go back an refine them. >>>>>>>>>>>>>>>> I was thinking that perhaps I could refine them on the fly, >>>>>>>>>>>>>>>> dump them to disk, and use the coarse solution as the starting >>>>>>>>>>>>>>>> guess at the next iteration, but that would seem to require >>>>>>>>>>>>>>>> resetting the snes back to the coarse grid. >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> The alternative would be to just script the mesh refinement in >>>>>>>>>>>>>>>> a post processing stage, where each value of the continuation >>>>>>>>>>>>>>>> is parameter is loaded on the coarse mesh, and refined. >>>>>>>>>>>>>>>> Perhaps that’s the most practical thing to do. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> I would do the following. Create your DM and create a SNES that >>>>>>>>>>>>>>> will do the continuation >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> loop over continuation parameter >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> SNESSolve(snes,NULL,Ucoarse); >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> if (you decide you want to see the refined solution at this >>>>>>>>>>>>>>> continuation point) { >>>>>>>>>>>>>>> SNESCreate(comm,&snesrefine); >>>>>>>>>>>>>>> SNESSetDM() >>>>>>>>>>>>>>> etc >>>>>>>>>>>>>>> SNESSetGridSequence(snesrefine,) >>>>>>>>>>>>>>> SNESSolve(snesrefine,0,Ucoarse); >>>>>>>>>>>>>>> SNESGetSolution(snesrefine,&Ufine); >>>>>>>>>>>>>>> VecView(Ufine or do whatever you want to do with the Ufine >>>>>>>>>>>>>>> at that continuation point >>>>>>>>>>>>>>> SNESDestroy(snesrefine); >>>>>>>>>>>>>>> end if >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> end loop over continuation parameter. >>>>>>>>>>>>>>> >>>>>>>>>>>>>>> Barry >>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>> -gideon >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> On Aug 28, 2015, at 3:55 PM, Barry Smith <[email protected]> >>>>>>>>>>>>>>>>> wrote: >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> 3. This problem is actually part of a continuation problem >>>>>>>>>>>>>>>>>> that roughly looks like this >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> for( continuation parameter p = 0 to 1){ >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> solve with parameter p_i using solution from p_{i-1}, >>>>>>>>>>>>>>>>>> } >>>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>>> What I would like to do is to start the solver, for each >>>>>>>>>>>>>>>>>> value of parameter p_i on the coarse mesh, and then do grid >>>>>>>>>>>>>>>>>> sequencing on that. But it appears that after doing grid >>>>>>>>>>>>>>>>>> sequencing on the initial p_0 = 0, the SNES is set to use >>>>>>>>>>>>>>>>>> the finer mesh. >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> So you are using continuation to give you a good enough >>>>>>>>>>>>>>>>> initial guess on the coarse level to even get convergence on >>>>>>>>>>>>>>>>> the coarse level? First I would check if you even need the >>>>>>>>>>>>>>>>> continuation (or can you not even solve the coarse problem >>>>>>>>>>>>>>>>> without it). >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> If you do need the continuation then you will need to tweak >>>>>>>>>>>>>>>>> how you do the grid sequencing. I think this will work: >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> Do not use -snes_grid_sequencing >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> Run SNESSolve() as many times as you want with your >>>>>>>>>>>>>>>>> continuation parameter. This will all happen on the coarse >>>>>>>>>>>>>>>>> mesh. >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> Call SNESSetGridSequence() >>>>>>>>>>>>>>>>> >>>>>>>>>>>>>>>>> Then call SNESSolve() again and it will do one solve on the >>>>>>>>>>>>>>>>> coarse level and then interpolate to the next level etc. >>>>>>>>>>>>>>>> >>>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>>> >>>>>>>>>>>>>> -- >>>>>>>>>>>>>> What most experimenters take for granted before they begin their >>>>>>>>>>>>>> experiments is infinitely more interesting than any results to >>>>>>>>>>>>>> which their experiments lead. >>>>>>>>>>>>>> -- Norbert Wiener >>>>>>>>>>>>> >>>>>>>>>>>> >>>>>>>>>>> >>>>>>>>>> >>>>>>>>> >>>>>>>> >>>>>>> >>>>>> >>>>> >>>> >>> >> >
