Ok,

    So what is happening is that GMRES with a restart of 30 is running on the 
Schur complement system with no preconditioning and LU (as a direct solver) is 
being used in the application of S (the Schur complement).  The convergence of 
GMRES is stagnating after getting about 8 digits of accuracy in the residual. 
Then at the second GMRES
restart it is comparing the explicitly computing residual b - Ax with that 
computed inside the GMRES algorithm (via a recursive formula) and finding a 
large difference so generating an error.  Since you are using a direct solver 
on the A_{00} block and it is well-conditioned this problem is not expected.

   Is it possible that the S operator has a null space (perhaps of the constant 
vector)? Or, relatedly, does your original full matrix have a null space?

   We have a way to associated null spaces of the submatrices in PCFIELDSPLIT 
by attaching them to the IS that define the fields, but unfortunately not 
trivially when using -pc_fieldsplit_detect_saddle_point. And sadly the current 
support seems completely undocumented. 

  Barry



> On May 23, 2024, at 2:16 PM, Colton Bryant 
> <[email protected]> wrote:
> 
> Hi Barry,
> 
> I saw that was reporting as an unused option and the error message I sent was 
> run with -fieldsplit_0_ksp_type preonly.
> 
> -Colton
> 
> On Thu, May 23, 2024 at 12:13 PM Barry Smith <[email protected] 
> <mailto:[email protected]>> wrote:
>> 
>> 
>>    Sorry I gave the wrong option. Use  -fieldsplit_0_ksp_type preonly
>> 
>> Barry
>> 
>>> On May 23, 2024, at 12:51 PM, Colton Bryant 
>>> <[email protected] 
>>> <mailto:[email protected]>> wrote:
>>> 
>>> That produces the error: 
>>> 
>>> [0]PETSC ERROR: Residual norm computed by GMRES recursion formula 
>>> 2.68054e-07 is far from the computed residual norm 6.86309e-06 at restart, 
>>> residual norm at start of cycle 2.68804e-07
>>> 
>>> The rest of the error is identical.
>>> 
>>> On Thu, May 23, 2024 at 10:46 AM Barry Smith <[email protected] 
>>> <mailto:[email protected]>> wrote:
>>>> 
>>>>   Use -pc_fieldsplit_0_ksp_type preonly
>>>> 
>>>> 
>>>> 
>>>>> On May 23, 2024, at 12:43 PM, Colton Bryant 
>>>>> <[email protected] 
>>>>> <mailto:[email protected]>> wrote:
>>>>> 
>>>>> That produces the following error:
>>>>> 
>>>>> [0]PETSC ERROR: Residual norm computed by GMRES recursion formula 
>>>>> 2.79175e-07 is far from the computed residual norm 0.000113154 at 
>>>>> restart, residual norm at start of cycle 2.83065e-07
>>>>> [0]PETSC ERROR: See 
>>>>> https://urldefense.us/v3/__https://petsc.org/release/faq/__;!!G_uCfscf7eWS!dMycnbRyUqlSBxozlxAjTnb9HiE2xGqctU4JVMuKQoTyVcRsfBRtxvyu3T4rU5kTrXPiGcJ63yYIgp9cEefnGRE$
>>>>>   for trouble shooting.
>>>>> [0]PETSC ERROR: Petsc Release Version 3.21.0, unknown 
>>>>> [0]PETSC ERROR: ./mainOversetLS_exe on a arch-linux-c-opt named glass by 
>>>>> colton Thu May 23 10:41:09 2024
>>>>> [0]PETSC ERROR: Configure options --download-mpich --with-cc=gcc 
>>>>> --with-cxx=g++ --with-debugging=no --with-fc=gfortran COPTFLAGS=-O3 
>>>>> CXXOPTFLAGS=-O3 FOPTFLAGS=-O3 PETSC_ARCH=arch-linux-c-opt 
>>>>> --download-sowing
>>>>> [0]PETSC ERROR: #1 KSPGMRESCycle() at 
>>>>> /home/colton/petsc/src/ksp/ksp/impls/gmres/gmres.c:115
>>>>> [0]PETSC ERROR: #2 KSPSolve_GMRES() at 
>>>>> /home/colton/petsc/src/ksp/ksp/impls/gmres/gmres.c:227
>>>>> [0]PETSC ERROR: #3 KSPSolve_Private() at 
>>>>> /home/colton/petsc/src/ksp/ksp/interface/itfunc.c:905
>>>>> [0]PETSC ERROR: #4 KSPSolve() at 
>>>>> /home/colton/petsc/src/ksp/ksp/interface/itfunc.c:1078
>>>>> [0]PETSC ERROR: #5 PCApply_FieldSplit_Schur() at 
>>>>> /home/colton/petsc/src/ksp/pc/impls/fieldsplit/fieldsplit.c:1203
>>>>> [0]PETSC ERROR: #6 PCApply() at 
>>>>> /home/colton/petsc/src/ksp/pc/interface/precon.c:497
>>>>> [0]PETSC ERROR: #7 KSP_PCApply() at 
>>>>> /home/colton/petsc/include/petsc/private/kspimpl.h:409
>>>>> [0]PETSC ERROR: #8 KSPFGMRESCycle() at 
>>>>> /home/colton/petsc/src/ksp/ksp/impls/gmres/fgmres/fgmres.c:123
>>>>> [0]PETSC ERROR: #9 KSPSolve_FGMRES() at 
>>>>> /home/colton/petsc/src/ksp/ksp/impls/gmres/fgmres/fgmres.c:235
>>>>> [0]PETSC ERROR: #10 KSPSolve_Private() at 
>>>>> /home/colton/petsc/src/ksp/ksp/interface/itfunc.c:905
>>>>> [0]PETSC ERROR: #11 KSPSolve() at 
>>>>> /home/colton/petsc/src/ksp/ksp/interface/itfunc.c:1078
>>>>> [0]PETSC ERROR: #12 solveStokes() at cartesianStokesGrid.cpp:1403
>>>>> 
>>>>> 
>>>>> 
>>>>> On Thu, May 23, 2024 at 10:33 AM Barry Smith <[email protected] 
>>>>> <mailto:[email protected]>> wrote:
>>>>>> 
>>>>>>   Run the failing case with also -ksp_error_if_not_converged so we see 
>>>>>> exactly where the problem is first detected.
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>> 
>>>>>>> On May 23, 2024, at 11:51 AM, Colton Bryant 
>>>>>>> <[email protected] 
>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>> 
>>>>>>> Hi Barry,
>>>>>>> 
>>>>>>> Thanks for letting me know about the need to use fgmres in this case. I 
>>>>>>> ran a smaller problem (1230 in the first block) and saw similar 
>>>>>>> behavior in the true residual.
>>>>>>> 
>>>>>>> I also ran the same problem with the options -fieldsplit_0_pc_type svd 
>>>>>>> -fieldsplit_0_pc_svd_monitor and get the following output:
>>>>>>>       SVD: condition number 1.933639985881e+03, 0 of 1230 singular 
>>>>>>> values are (nearly) zero
>>>>>>>       SVD: smallest singular values: 4.132036392141e-03 
>>>>>>> 4.166444542385e-03 4.669534028645e-03 4.845532162256e-03 
>>>>>>> 5.047038625390e-03
>>>>>>>       SVD: largest singular values : 7.947990616611e+00 
>>>>>>> 7.961437414477e+00 7.961851612473e+00 7.971335373142e+00 
>>>>>>> 7.989870790960e+00
>>>>>>> 
>>>>>>> I would be surprised if the A_{00} block is ill conditioned as it's 
>>>>>>> just a standard discretization of the laplacian with some rows replaced 
>>>>>>> with ones on the diagonal due to interpolations from the overset mesh. 
>>>>>>> I'm wondering if I'm somehow violating a solvability condition of the 
>>>>>>> problem?
>>>>>>> 
>>>>>>> Thanks for the help!
>>>>>>> 
>>>>>>> -Colton
>>>>>>> 
>>>>>>> On Wed, May 22, 2024 at 6:09 PM Barry Smith <[email protected] 
>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>> 
>>>>>>>>   Thanks for the info. I see you are using GMRES inside the Schur 
>>>>>>>> complement solver, this is ok but when you do you need to use fgmres 
>>>>>>>> as the outer solver. But this is unlikely to be the cause of the exact 
>>>>>>>> problem you are seeing.
>>>>>>>> 
>>>>>>>>   I'm not sure why the Schur complement KSP is suddenly seeing a large 
>>>>>>>> increase in the true residual norm.  Is it possible the A_{00} block 
>>>>>>>> is ill-conditioned?
>>>>>>>> 
>>>>>>>>    Can you run with a smaller problem? Say 2,000 or so in the first 
>>>>>>>> block? Is there still a problem?
>>>>>>>> 
>>>>>>>> 
>>>>>>>> 
>>>>>>>> 
>>>>>>>> 
>>>>>>>>> On May 22, 2024, at 6:00 PM, Colton Bryant 
>>>>>>>>> <[email protected] 
>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>> 
>>>>>>>>> Hi Barry,
>>>>>>>>> 
>>>>>>>>> I have not used any other solver parameters in the code and the full 
>>>>>>>>> set of solver related command line options are those I mentioned in 
>>>>>>>>> the previous email.
>>>>>>>>> 
>>>>>>>>> Below is the output from -ksp_view:
>>>>>>>>> 
>>>>>>>>> KSP Object: (back_) 1 MPI process
>>>>>>>>>   type: gmres
>>>>>>>>>     restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>>>>>> Orthogonalization with no iterative refinement
>>>>>>>>>     happy breakdown tolerance 1e-30
>>>>>>>>>   maximum iterations=10000, initial guess is zero
>>>>>>>>>   tolerances: relative=1e-08, absolute=1e-50, divergence=10000.
>>>>>>>>>   left preconditioning
>>>>>>>>>   using PRECONDITIONED norm type for convergence test
>>>>>>>>> PC Object: (back_) 1 MPI process
>>>>>>>>>   type: fieldsplit
>>>>>>>>>     FieldSplit with Schur preconditioner, blocksize = 1, 
>>>>>>>>> factorization FULL
>>>>>>>>>     Preconditioner for the Schur complement formed from S itself
>>>>>>>>>     Split info:
>>>>>>>>>     Split number 0 Defined by IS
>>>>>>>>>     Split number 1 Defined by IS
>>>>>>>>>     KSP solver for A00 block
>>>>>>>>>       KSP Object: (back_fieldsplit_0_) 1 MPI process
>>>>>>>>>         type: gmres
>>>>>>>>>           restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>>>>>> Orthogonalization with no iterative refinement
>>>>>>>>>           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: (back_fieldsplit_0_) 1 MPI process
>>>>>>>>>         type: lu
>>>>>>>>>           out-of-place factorization
>>>>>>>>>           tolerance for zero pivot 2.22045e-14
>>>>>>>>>           matrix ordering: nd
>>>>>>>>>           factor fill ratio given 5., needed 8.83482
>>>>>>>>>             Factored matrix follows:
>>>>>>>>>               Mat Object: (back_fieldsplit_0_) 1 MPI process
>>>>>>>>>                 type: seqaij
>>>>>>>>>                 rows=30150, cols=30150
>>>>>>>>>                 package used to perform factorization: petsc
>>>>>>>>>                 total: nonzeros=2649120, allocated nonzeros=2649120
>>>>>>>>>                   using I-node routines: found 15019 nodes, limit 
>>>>>>>>> used is 5
>>>>>>>>>         linear system matrix = precond matrix:
>>>>>>>>>         Mat Object: (back_fieldsplit_0_) 1 MPI process
>>>>>>>>>           type: seqaij
>>>>>>>>>           rows=30150, cols=30150
>>>>>>>>>           total: nonzeros=299850, allocated nonzeros=299850
>>>>>>>>>           total number of mallocs used during MatSetValues calls=0
>>>>>>>>>             using I-node routines: found 15150 nodes, limit used is 5
>>>>>>>>>     KSP solver for S = A11 - A10 inv(A00) A01
>>>>>>>>>       KSP Object: (back_fieldsplit_1_) 1 MPI process
>>>>>>>>>         type: gmres
>>>>>>>>>           restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>>>>>> Orthogonalization with no iterative refinement
>>>>>>>>>           happy breakdown tolerance 1e-30
>>>>>>>>>         maximum iterations=10000, initial guess is zero
>>>>>>>>>         tolerances: relative=1e-08, absolute=1e-50, divergence=10000.
>>>>>>>>>         left preconditioning
>>>>>>>>>         using PRECONDITIONED norm type for convergence test
>>>>>>>>>       PC Object: (back_fieldsplit_1_) 1 MPI process
>>>>>>>>>         type: none
>>>>>>>>>         linear system matrix = precond matrix:
>>>>>>>>>         Mat Object: (back_fieldsplit_1_) 1 MPI process
>>>>>>>>>           type: schurcomplement
>>>>>>>>>           rows=15000, cols=15000
>>>>>>>>>             Schur complement A11 - A10 inv(A00) A01
>>>>>>>>>             A11
>>>>>>>>>               Mat Object: (back_fieldsplit_1_) 1 MPI process
>>>>>>>>>                 type: seqaij
>>>>>>>>>                 rows=15000, cols=15000
>>>>>>>>>                 total: nonzeros=74700, allocated nonzeros=74700
>>>>>>>>>                 total number of mallocs used during MatSetValues 
>>>>>>>>> calls=0
>>>>>>>>>                   not using I-node routines
>>>>>>>>>             A10
>>>>>>>>>               Mat Object: 1 MPI process
>>>>>>>>>                 type: seqaij
>>>>>>>>>                 rows=15000, cols=30150
>>>>>>>>>                 total: nonzeros=149550, allocated nonzeros=149550
>>>>>>>>>                 total number of mallocs used during MatSetValues 
>>>>>>>>> calls=0
>>>>>>>>>                   not using I-node routines
>>>>>>>>>             KSP solver for A00 block viewable with the additional 
>>>>>>>>> option -back_fieldsplit_0_ksp_view
>>>>>>>>>             A01
>>>>>>>>>               Mat Object: 1 MPI process
>>>>>>>>>                 type: seqaij
>>>>>>>>>                 rows=30150, cols=15000
>>>>>>>>>                 total: nonzeros=149550, allocated nonzeros=149550
>>>>>>>>>                 total number of mallocs used during MatSetValues 
>>>>>>>>> calls=0
>>>>>>>>>                   using I-node routines: found 15150 nodes, limit 
>>>>>>>>> used is 5
>>>>>>>>>   linear system matrix = precond matrix:
>>>>>>>>>   Mat Object: (back_) 1 MPI process
>>>>>>>>>     type: seqaij
>>>>>>>>>     rows=45150, cols=45150
>>>>>>>>>     total: nonzeros=673650, allocated nonzeros=673650
>>>>>>>>>     total number of mallocs used during MatSetValues calls=0
>>>>>>>>>       has attached null space
>>>>>>>>>       using I-node routines: found 15150 nodes, limit used is 5
>>>>>>>>> 
>>>>>>>>> Thanks again!
>>>>>>>>> 
>>>>>>>>> -Colton
>>>>>>>>> 
>>>>>>>>> On Wed, May 22, 2024 at 3:39 PM Barry Smith <[email protected] 
>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>> 
>>>>>>>>>>   Are you using any other command line options or did you hardwire 
>>>>>>>>>> any solver parameters in the code with, like, KSPSetXXX() or 
>>>>>>>>>> PCSetXXX() Please send all of them.
>>>>>>>>>> 
>>>>>>>>>>   Something funky definitely happened when the true residual norms 
>>>>>>>>>> jumped up.
>>>>>>>>>> 
>>>>>>>>>>   Could you run the same thing with -ksp_view and don't use any 
>>>>>>>>>> thing like -ksp_error_if_not_converged so we can see exactly what is 
>>>>>>>>>> being run.
>>>>>>>>>> 
>>>>>>>>>>   Barry
>>>>>>>>>> 
>>>>>>>>>> 
>>>>>>>>>>> On May 22, 2024, at 3:21 PM, Colton Bryant 
>>>>>>>>>>> <[email protected] 
>>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>> 
>>>>>>>>>>> This Message Is From an External Sender
>>>>>>>>>>> This message came from outside your organization.
>>>>>>>>>>> Hello,
>>>>>>>>>>> 
>>>>>>>>>>> I am solving the Stokes equations on a MAC grid discretized by 
>>>>>>>>>>> finite differences using a DMSTAG object. I have tested the solver 
>>>>>>>>>>> quite extensively on manufactured problems and it seems to work 
>>>>>>>>>>> well. As I am still just trying to get things working and not yet 
>>>>>>>>>>> worried about speed I am using the following solver options: 
>>>>>>>>>>> -pc_type fieldsplit
>>>>>>>>>>> -pc_fieldsplit_detect_saddle_point
>>>>>>>>>>> -fieldsplit_0_pc_type lu
>>>>>>>>>>> -fieldsplit_1_ksp_rtol 1.e-8
>>>>>>>>>>> 
>>>>>>>>>>> However I am now using this solver as an inner step of a larger 
>>>>>>>>>>> code and have run into issues. The code repeatedly solves the 
>>>>>>>>>>> Stokes equations with varying right hand sides coming from changing 
>>>>>>>>>>> problem geometry (the solver is a part of an overset grid scheme 
>>>>>>>>>>> coupled to a level set method evolving in time). After a couple 
>>>>>>>>>>> timesteps I observe the following output when running with 
>>>>>>>>>>> -fieldsplit_1_ksp_converged_reason 
>>>>>>>>>>> -fieldsplit_1_ksp_monitor_true_residual: 
>>>>>>>>>>> 
>>>>>>>>>>> Residual norms for back_fieldsplit_1_ solve.
>>>>>>>>>>>     0 KSP preconditioned resid norm 2.826514299465e-02 true resid 
>>>>>>>>>>> norm 2.826514299465e-02 ||r(i)||/||b|| 1.000000000000e+00
>>>>>>>>>>>     1 KSP preconditioned resid norm 7.286621865915e-03 true resid 
>>>>>>>>>>> norm 7.286621865915e-03 ||r(i)||/||b|| 2.577953300039e-01
>>>>>>>>>>>     2 KSP preconditioned resid norm 1.500598474492e-03 true resid 
>>>>>>>>>>> norm 1.500598474492e-03 ||r(i)||/||b|| 5.309007192273e-02
>>>>>>>>>>>     3 KSP preconditioned resid norm 3.796396924978e-04 true resid 
>>>>>>>>>>> norm 3.796396924978e-04 ||r(i)||/||b|| 1.343137349666e-02
>>>>>>>>>>>     4 KSP preconditioned resid norm 8.091057439816e-05 true resid 
>>>>>>>>>>> norm 8.091057439816e-05 ||r(i)||/||b|| 2.862556697960e-03
>>>>>>>>>>>     5 KSP preconditioned resid norm 3.689113122359e-05 true resid 
>>>>>>>>>>> norm 3.689113122359e-05 ||r(i)||/||b|| 1.305181128239e-03
>>>>>>>>>>>     6 KSP preconditioned resid norm 2.116450533352e-05 true resid 
>>>>>>>>>>> norm 2.116450533352e-05 ||r(i)||/||b|| 7.487846545662e-04
>>>>>>>>>>>     7 KSP preconditioned resid norm 3.968234031201e-06 true resid 
>>>>>>>>>>> norm 3.968234031200e-06 ||r(i)||/||b|| 1.403932055801e-04
>>>>>>>>>>>     8 KSP preconditioned resid norm 6.666949419511e-07 true resid 
>>>>>>>>>>> norm 6.666949419506e-07 ||r(i)||/||b|| 2.358717739644e-05
>>>>>>>>>>>     9 KSP preconditioned resid norm 1.941522884928e-07 true resid 
>>>>>>>>>>> norm 1.941522884931e-07 ||r(i)||/||b|| 6.868965372998e-06
>>>>>>>>>>>    10 KSP preconditioned resid norm 6.729545258682e-08 true resid 
>>>>>>>>>>> norm 6.729545258626e-08 ||r(i)||/||b|| 2.380863687793e-06
>>>>>>>>>>>    11 KSP preconditioned resid norm 3.009070131709e-08 true resid 
>>>>>>>>>>> norm 3.009070131735e-08 ||r(i)||/||b|| 1.064586912687e-06
>>>>>>>>>>>    12 KSP preconditioned resid norm 7.849353009588e-09 true resid 
>>>>>>>>>>> norm 7.849353009903e-09 ||r(i)||/||b|| 2.777043445840e-07
>>>>>>>>>>>    13 KSP preconditioned resid norm 2.306283345754e-09 true resid 
>>>>>>>>>>> norm 2.306283346677e-09 ||r(i)||/||b|| 8.159461097060e-08
>>>>>>>>>>>    14 KSP preconditioned resid norm 9.336302495083e-10 true resid 
>>>>>>>>>>> norm 9.336302502503e-10 ||r(i)||/||b|| 3.303115255517e-08
>>>>>>>>>>>    15 KSP preconditioned resid norm 6.537456143401e-10 true resid 
>>>>>>>>>>> norm 6.537456141617e-10 ||r(i)||/||b|| 2.312903968982e-08
>>>>>>>>>>>    16 KSP preconditioned resid norm 6.389159552788e-10 true resid 
>>>>>>>>>>> norm 6.389159550304e-10 ||r(i)||/||b|| 2.260437724130e-08
>>>>>>>>>>>    17 KSP preconditioned resid norm 6.380905134246e-10 true resid 
>>>>>>>>>>> norm 6.380905136023e-10 ||r(i)||/||b|| 2.257517372981e-08
>>>>>>>>>>>    18 KSP preconditioned resid norm 6.380440605992e-10 true resid 
>>>>>>>>>>> norm 6.380440604688e-10 ||r(i)||/||b|| 2.257353025207e-08
>>>>>>>>>>>    19 KSP preconditioned resid norm 6.380427156582e-10 true resid 
>>>>>>>>>>> norm 6.380427157894e-10 ||r(i)||/||b|| 2.257348267830e-08
>>>>>>>>>>>    20 KSP preconditioned resid norm 6.380426714897e-10 true resid 
>>>>>>>>>>> norm 6.380426714004e-10 ||r(i)||/||b|| 2.257348110785e-08
>>>>>>>>>>>    21 KSP preconditioned resid norm 6.380426656970e-10 true resid 
>>>>>>>>>>> norm 6.380426658839e-10 ||r(i)||/||b|| 2.257348091268e-08
>>>>>>>>>>>    22 KSP preconditioned resid norm 6.380426650538e-10 true resid 
>>>>>>>>>>> norm 6.380426650287e-10 ||r(i)||/||b|| 2.257348088242e-08
>>>>>>>>>>>    23 KSP preconditioned resid norm 6.380426649918e-10 true resid 
>>>>>>>>>>> norm 6.380426645888e-10 ||r(i)||/||b|| 2.257348086686e-08
>>>>>>>>>>>    24 KSP preconditioned resid norm 6.380426649803e-10 true resid 
>>>>>>>>>>> norm 6.380426644294e-10 ||r(i)||/||b|| 2.257348086122e-08
>>>>>>>>>>>    25 KSP preconditioned resid norm 6.380426649796e-10 true resid 
>>>>>>>>>>> norm 6.380426649774e-10 ||r(i)||/||b|| 2.257348088061e-08
>>>>>>>>>>>    26 KSP preconditioned resid norm 6.380426649795e-10 true resid 
>>>>>>>>>>> norm 6.380426653788e-10 ||r(i)||/||b|| 2.257348089481e-08
>>>>>>>>>>>    27 KSP preconditioned resid norm 6.380426649795e-10 true resid 
>>>>>>>>>>> norm 6.380426646744e-10 ||r(i)||/||b|| 2.257348086989e-08
>>>>>>>>>>>    28 KSP preconditioned resid norm 6.380426649795e-10 true resid 
>>>>>>>>>>> norm 6.380426650818e-10 ||r(i)||/||b|| 2.257348088430e-08
>>>>>>>>>>>    29 KSP preconditioned resid norm 6.380426649795e-10 true resid 
>>>>>>>>>>> norm 6.380426649518e-10 ||r(i)||/||b|| 2.257348087970e-08
>>>>>>>>>>>    30 KSP preconditioned resid norm 6.380426652142e-10 true resid 
>>>>>>>>>>> norm 6.380426652142e-10 ||r(i)||/||b|| 2.257348088898e-08
>>>>>>>>>>>    31 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426646799e-10 ||r(i)||/||b|| 2.257348087008e-08
>>>>>>>>>>>    32 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426648077e-10 ||r(i)||/||b|| 2.257348087460e-08
>>>>>>>>>>>    33 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426649048e-10 ||r(i)||/||b|| 2.257348087804e-08
>>>>>>>>>>>    34 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426648142e-10 ||r(i)||/||b|| 2.257348087483e-08
>>>>>>>>>>>    35 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651079e-10 ||r(i)||/||b|| 2.257348088522e-08
>>>>>>>>>>>    36 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650433e-10 ||r(i)||/||b|| 2.257348088294e-08
>>>>>>>>>>>    37 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426649765e-10 ||r(i)||/||b|| 2.257348088057e-08
>>>>>>>>>>>    38 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650364e-10 ||r(i)||/||b|| 2.257348088269e-08
>>>>>>>>>>>    39 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650051e-10 ||r(i)||/||b|| 2.257348088159e-08
>>>>>>>>>>>    40 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651154e-10 ||r(i)||/||b|| 2.257348088549e-08
>>>>>>>>>>>    41 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650246e-10 ||r(i)||/||b|| 2.257348088227e-08
>>>>>>>>>>>    42 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650702e-10 ||r(i)||/||b|| 2.257348088389e-08
>>>>>>>>>>>    43 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651686e-10 ||r(i)||/||b|| 2.257348088737e-08
>>>>>>>>>>>    44 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650870e-10 ||r(i)||/||b|| 2.257348088448e-08
>>>>>>>>>>>    45 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651208e-10 ||r(i)||/||b|| 2.257348088568e-08
>>>>>>>>>>>    46 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651441e-10 ||r(i)||/||b|| 2.257348088650e-08
>>>>>>>>>>>    47 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650955e-10 ||r(i)||/||b|| 2.257348088478e-08
>>>>>>>>>>>    48 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650877e-10 ||r(i)||/||b|| 2.257348088451e-08
>>>>>>>>>>>    49 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426651240e-10 ||r(i)||/||b|| 2.257348088579e-08
>>>>>>>>>>>    50 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426650534e-10 ||r(i)||/||b|| 2.257348088329e-08
>>>>>>>>>>>    51 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426648615e-10 ||r(i)||/||b|| 2.257348087651e-08
>>>>>>>>>>>    52 KSP preconditioned resid norm 6.380426652141e-10 true resid 
>>>>>>>>>>> norm 6.380426649523e-10 ||r(i)||/||b|| 2.257348087972e-08
>>>>>>>>>>>    53 KSP preconditioned resid norm 6.380426652140e-10 true resid 
>>>>>>>>>>> norm 6.380426652601e-10 ||r(i)||/||b|| 2.257348089061e-08
>>>>>>>>>>>    54 KSP preconditioned resid norm 6.380426652125e-10 true resid 
>>>>>>>>>>> norm 6.380427512852e-10 ||r(i)||/||b|| 2.257348393411e-08
>>>>>>>>>>>    55 KSP preconditioned resid norm 6.380426651849e-10 true resid 
>>>>>>>>>>> norm 6.380603444402e-10 ||r(i)||/||b|| 2.257410636701e-08
>>>>>>>>>>>    56 KSP preconditioned resid norm 6.380426646751e-10 true resid 
>>>>>>>>>>> norm 6.439925413105e-10 ||r(i)||/||b|| 2.278398313542e-08
>>>>>>>>>>>    57 KSP preconditioned resid norm 6.380426514019e-10 true resid 
>>>>>>>>>>> norm 2.674218007058e-09 ||r(i)||/||b|| 9.461186902765e-08
>>>>>>>>>>>    58 KSP preconditioned resid norm 6.380425077384e-10 true resid 
>>>>>>>>>>> norm 2.406759314486e-08 ||r(i)||/||b|| 8.514937691775e-07
>>>>>>>>>>>    59 KSP preconditioned resid norm 6.380406171326e-10 true resid 
>>>>>>>>>>> norm 3.100137288622e-07 ||r(i)||/||b|| 1.096805803957e-05
>>>>>>>>>>>     Linear back_fieldsplit_1_ solve did not converge due to 
>>>>>>>>>>> DIVERGED_BREAKDOWN iterations 60
>>>>>>>>>>> 
>>>>>>>>>>> Any advice on steps I could take to elucidate the issue would be 
>>>>>>>>>>> greatly appreciated. Thanks so much for any help in advance!
>>>>>>>>>>> 
>>>>>>>>>>> Best,
>>>>>>>>>>> Colton Bryant 
>>>>>>>>>> 
>>>>>>>> 
>>>>>> 
>>>> 
>> 

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