Meaningless differences
> On Nov 15, 2017, at 2:26 PM, Kong, Fande <fande.k...@inl.gov> wrote: > > Hi, > > There is a heat conduction problem. When superlu_dist is used as a > preconditioner, we have random results from different runs. Is there a random > algorithm in superlu_dist? If we use ASM or MUMPS as the preconditioner, we > then don't have this issue. > > run 1: > > 0 Nonlinear |R| = 9.447423e+03 > 0 Linear |R| = 9.447423e+03 > 1 Linear |R| = 1.013384e-02 > 2 Linear |R| = 4.020995e-08 > 1 Nonlinear |R| = 1.404678e-02 > 0 Linear |R| = 1.404678e-02 > 1 Linear |R| = 5.104757e-08 > 2 Linear |R| = 7.699637e-14 > 2 Nonlinear |R| = 5.106418e-08 > > > run 2: > > 0 Nonlinear |R| = 9.447423e+03 > 0 Linear |R| = 9.447423e+03 > 1 Linear |R| = 1.013384e-02 > 2 Linear |R| = 4.020995e-08 > 1 Nonlinear |R| = 1.404678e-02 > 0 Linear |R| = 1.404678e-02 > 1 Linear |R| = 5.109913e-08 > 2 Linear |R| = 7.189091e-14 > 2 Nonlinear |R| = 5.111591e-08 > > run 3: > > 0 Nonlinear |R| = 9.447423e+03 > 0 Linear |R| = 9.447423e+03 > 1 Linear |R| = 1.013384e-02 > 2 Linear |R| = 4.020995e-08 > 1 Nonlinear |R| = 1.404678e-02 > 0 Linear |R| = 1.404678e-02 > 1 Linear |R| = 5.104942e-08 > 2 Linear |R| = 7.465572e-14 > 2 Nonlinear |R| = 5.106642e-08 > > run 4: > > 0 Nonlinear |R| = 9.447423e+03 > 0 Linear |R| = 9.447423e+03 > 1 Linear |R| = 1.013384e-02 > 2 Linear |R| = 4.020995e-08 > 1 Nonlinear |R| = 1.404678e-02 > 0 Linear |R| = 1.404678e-02 > 1 Linear |R| = 5.102730e-08 > 2 Linear |R| = 7.132220e-14 > 2 Nonlinear |R| = 5.104442e-08 > > Solver details: > > SNES Object: 8 MPI processes > type: newtonls > maximum iterations=15, maximum function evaluations=10000 > tolerances: relative=1e-08, absolute=1e-11, solution=1e-50 > total number of linear solver iterations=4 > total number of function evaluations=7 > norm schedule ALWAYS > SNESLineSearch Object: 8 MPI processes > type: basic > 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: 8 MPI processes > type: gmres > restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization > with no iterative refinement > happy breakdown tolerance 1e-30 > maximum iterations=100, initial guess is zero > tolerances: relative=1e-06, absolute=1e-50, divergence=10000. > right preconditioning > using UNPRECONDITIONED norm type for convergence test > PC Object: 8 MPI processes > type: lu > out-of-place factorization > tolerance for zero pivot 2.22045e-14 > matrix ordering: natural > factor fill ratio given 0., needed 0. > Factored matrix follows: > Mat Object: 8 MPI processes > type: superlu_dist > rows=7925, cols=7925 > package used to perform factorization: superlu_dist > total: nonzeros=0, allocated nonzeros=0 > total number of mallocs used during MatSetValues calls =0 > SuperLU_DIST run parameters: > Process grid nprow 4 x npcol 2 > Equilibrate matrix TRUE > Matrix input mode 1 > Replace tiny pivots FALSE > Use iterative refinement TRUE > Processors in row 4 col partition 2 > Row permutation LargeDiag > Column permutation METIS_AT_PLUS_A > Parallel symbolic factorization FALSE > Repeated factorization SamePattern > linear system matrix followed by preconditioner matrix: > Mat Object: 8 MPI processes > type: mffd > rows=7925, cols=7925 > Matrix-free approximation: > err=1.49012e-08 (relative error in function evaluation) > Using wp compute h routine > Does not compute normU > Mat Object: () 8 MPI processes > type: mpiaij > rows=7925, cols=7925 > total: nonzeros=63587, allocated nonzeros=63865 > total number of mallocs used during MatSetValues calls =0 > not using I-node (on process 0) routines > > > Fande, > >