[petsc-users] TS solution

Konstantinos Kontzialis ckontzialis at lycos.com
Mon Nov 7 04:00:01 CST 2011


Dear all,

I use the TS for a backward euler integration. Here is what I code:


ierr = TSCreate(sys.comm, &sys.ts);
     CHKERRQ(ierr);

     ierr = TSSetProblemType(sys.ts, TS_NONLINEAR);
     CHKERRQ(ierr);

     ierr = TSSetIFunction(sys.ts, sys.gres0, base_residual_implicit, &sys);
     CHKERRQ(ierr);

     ierr = TSSetInitialTimeStep(sys.ts, 0.0, sys.con->dt);
     CHKERRQ(ierr);

     ierr = TSSetSolution(sys.ts, sys.gsv);
     CHKERRQ(ierr);

     ierr = TSGetSNES(sys.ts, &sys.snes);
     CHKERRQ(ierr);

     ierr = MatCreateSNESMF(sys.snes, &sys.J);
     CHKERRQ(ierr);

     ierr = TSMonitorSet(sys.ts, TSMonitorDefault, PETSC_NULL, PETSC_NULL);
     CHKERRQ(ierr);

     ISColoring iscoloring;
     MatFDColoring fdcoloring;

     ierr = jacobian_diff_numerical(sys, &sys.P);
     CHKERRQ(ierr);

     ierr = MatGetColoring(sys.P, MATCOLORINGSL, &iscoloring);
     CHKERRQ(ierr);

     ierr = MatFDColoringCreate(sys.P, iscoloring, &fdcoloring);
     CHKERRQ(ierr);

     ierr = MatFDColoringSetFunction(fdcoloring,
             (PetscErrorCode(*)(void)) SNESTSFormFunction, sys.ts);
     CHKERRQ(ierr);

     ierr = SNESSetJacobian(sys.snes, sys.J, sys.P,
             SNESDefaultComputeJacobianColor, fdcoloring);
     CHKERRQ(ierr);

     ierr = SNESSetFromOptions(sys.snes);
     CHKERRQ(ierr);

     ierr = SNESGetKSP(sys.snes, &sys.ksp2);
     CHKERRQ(ierr);

     ierr = KSPGetPC(sys.ksp2, &sys.pc);
     CHKERRQ(ierr);

     ierr = KSPSetFromOptions(sys.ksp2);
     CHKERRQ(ierr);

     ierr = TSSetFromOptions(sys.ts);
     CHKERRQ(ierr);

     ierr = TSSolve(sys.ts, sys.gsv, &sys.con->etime);
     CHKERRQ(ierr);

and I run with:

mpiexec -n 8 ./hoac cylinder -llf_flux -n_out 5 -end_time 1 -implicit 
-implicit_type 3 -pc_type asm -sub_pc_type ilu 
-sub_pc_factor_mat_ordering_type rcm 1.0e-8 -gl -sub_ksp_type fgmres 
-ksp_rtol 1.0e-8 -sub_pc_factor_levels 2 -dt 1.0e-1 -snes_monitor 
-ksp_pc_side right -snes_converged_reason -ts_type beuler 
-ksp_converged_reason -ts_view

and I get:

**********************************************************************
   METIS 4.0.3 Copyright 1998, Regents of the University of Minnesota

Graph Information ---------------------------------------------------
   Name: mesh.graph, #Vertices: 400, #Edges: 780, #Parts: 8

Recursive Partitioning... -------------------------------------------
   8-way Edge-Cut:     102, Balance:  1.00

Timing Information --------------------------------------------------
   I/O:                     0.000
   Partitioning:            0.000   (PMETIS time)
   Total:                   0.000
**********************************************************************


Approximation order = 0
# DOF = 1520
# nodes in mesh = 400
# elements in mesh = 380
Euler solution
Using LLF flux


Linear solve converged due to CONVERGED_RTOL iterations 1
0 TS dt 0.1 time 0
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 9.165516887509e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
1 TS dt 0.1 time 0.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.632350040756e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
2 TS dt 0.1 time 0.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.079843243369e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
3 TS dt 0.1 time 0.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.835143044066e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
4 TS dt 0.1 time 0.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.737925333877e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
5 TS dt 0.1 time 0.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.910893540416e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
6 TS dt 0.1 time 0.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.225861927774e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
7 TS dt 0.1 time 0.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.331099416552e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
8 TS dt 0.1 time 0.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.975793361389e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
9 TS dt 0.1 time 0.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.713306283593e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
10 TS dt 0.1 time 1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.122105360050e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
11 TS dt 0.1 time 1.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.863420336962e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
12 TS dt 0.1 time 1.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.042443406304e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
13 TS dt 0.1 time 1.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.946360965428e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
14 TS dt 0.1 time 1.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.377702949796e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
15 TS dt 0.1 time 1.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.246004191247e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
16 TS dt 0.1 time 1.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.624757324355e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
17 TS dt 0.1 time 1.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.387079414803e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
18 TS dt 0.1 time 1.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.187884694862e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
19 TS dt 0.1 time 1.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.179621381834e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
20 TS dt 0.1 time 2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.521840144246e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
21 TS dt 0.1 time 2.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.448581689405e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
22 TS dt 0.1 time 2.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.748645633289e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
23 TS dt 0.1 time 2.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.560438835942e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
24 TS dt 0.1 time 2.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.511401940242e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
25 TS dt 0.1 time 2.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.378726928086e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
26 TS dt 0.1 time 2.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.334427814912e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
27 TS dt 0.1 time 2.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.830104988308e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
28 TS dt 0.1 time 2.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.219763041097e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
29 TS dt 0.1 time 2.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.645515811145e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
30 TS dt 0.1 time 3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.395987890604e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
31 TS dt 0.1 time 3.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.400139707954e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
32 TS dt 0.1 time 3.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.069248234609e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
33 TS dt 0.1 time 3.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.053550120679e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
34 TS dt 0.1 time 3.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.692206461028e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
35 TS dt 0.1 time 3.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.119476099069e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
36 TS dt 0.1 time 3.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.337847526235e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
37 TS dt 0.1 time 3.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 6.156567962560e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
38 TS dt 0.1 time 3.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.121789317381e-08
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
39 TS dt 0.1 time 3.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.046902581889e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
40 TS dt 0.1 time 4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.675637990005e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
41 TS dt 0.1 time 4.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.437527938961e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
42 TS dt 0.1 time 4.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.011868310284e-08
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
43 TS dt 0.1 time 4.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.254068220833e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
44 TS dt 0.1 time 4.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.413532340720e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
45 TS dt 0.1 time 4.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.932021770220e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
46 TS dt 0.1 time 4.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.814611914146e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
47 TS dt 0.1 time 4.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 9.880349938684e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
48 TS dt 0.1 time 4.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 6.460287174001e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
49 TS dt 0.1 time 4.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.359781445921e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
50 TS dt 0.1 time 5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.000396050302e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
51 TS dt 0.1 time 5.1
TS Object: 8 MPI processes
   type: beuler
   maximum steps=5000
   maximum time=5
   total number of nonlinear solver iterations=51
   total number of nonlinear solve failures=0
   total number of linear solver iterations=51
   total number of rejected steps=0
   SNES Object:   8 MPI processes
     type: ls
       line search variant: SNESLineSearchCubic
       alpha=1.000000000000e-04, maxstep=1.000000000000e+08, 
minlambda=1.000000000000e-12
     maximum iterations=50, maximum function evaluations=10000
     tolerances: relative=1e-08, absolute=1e-50, solution=1e-08
     total number of linear solver iterations=1
     total number of function evaluations=4
     KSP Object:     8 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-08, absolute=1e-50, divergence=10000
       right preconditioning
       using UNPRECONDITIONED norm type for convergence test
     PC Object:     8 MPI processes
       type: asm
         Additive Schwarz: total subdomain blocks = 8, amount of overlap = 1
         Additive Schwarz: restriction/interpolation type - RESTRICT
         Local solve is same for all blocks, in the following KSP and PC 
objects:
       KSP Object:      (sub_)       1 MPI processes
         type: fgmres
           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
         right preconditioning
         using UNPRECONDITIONED norm type for convergence test
       PC Object:      (sub_)       1 MPI processes
         type: ilu
           ILU: out-of-place factorization
           2 levels of fill
           tolerance for zero pivot 1e-12
           using diagonal shift on blocks to prevent zero pivot
           matrix ordering: rcm
           factor fill ratio given 1, needed 1
             Factored matrix follows:
               Matrix Object:               1 MPI processes
                 type: seqbaij
                 rows=184, cols=184
                 package used to perform factorization: petsc
                 total: nonzeros=184, allocated nonzeros=184
                 total number of mallocs used during MatSetValues calls =0
                     block size is 1
         linear system matrix = precond matrix:
         Matrix Object:         1 MPI processes
           type: seqbaij
           rows=184, cols=184
           total: nonzeros=184, allocated nonzeros=184
           total number of mallocs used during MatSetValues calls =0
               block size is 1
       linear system matrix followed by preconditioner matrix:
       Matrix Object:       8 MPI processes
         type: mffd
         rows=1520, cols=1520
             matrix-free approximation:
               err=1e-07 (relative error in function evaluation)
               Using wp compute h routine
               Does not compute normU
       Matrix Object:       8 MPI processes
         type: mpibaij
         rows=1520, cols=1520
         total: nonzeros=1520, allocated nonzeros=7600
         total number of mallocs used during MatSetValues calls =0
             block size is 1

I observe that the solution is not updated. What am I doing wrong?

Thank you,

Kostas



**********************************************************************
   METIS 4.0.3 Copyright 1998, Regents of the University of Minnesota

Graph Information ---------------------------------------------------
   Name: mesh.graph, #Vertices: 400, #Edges: 780, #Parts: 8

Recursive Partitioning... -------------------------------------------
   8-way Edge-Cut:     102, Balance:  1.00

Timing Information --------------------------------------------------
   I/O:                     0.000
   Partitioning:            0.000   (PMETIS time)
   Total:                   0.000
**********************************************************************


Approximation order = 0
# DOF = 1520
# nodes in mesh = 400
# elements in mesh = 380
Euler solution
Using LLF flux


Linear solve converged due to CONVERGED_RTOL iterations 1
0 TS dt 0.1 time 0
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 9.165516887509e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
1 TS dt 0.1 time 0.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.632350040756e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
2 TS dt 0.1 time 0.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.079843243369e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
3 TS dt 0.1 time 0.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.835143044066e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
4 TS dt 0.1 time 0.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.737925333877e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
5 TS dt 0.1 time 0.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.910893540416e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
6 TS dt 0.1 time 0.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.225861927774e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
7 TS dt 0.1 time 0.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.331099416552e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
8 TS dt 0.1 time 0.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.975793361389e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
9 TS dt 0.1 time 0.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.713306283593e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
10 TS dt 0.1 time 1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.122105360050e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
11 TS dt 0.1 time 1.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.863420336962e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
12 TS dt 0.1 time 1.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.042443406304e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
13 TS dt 0.1 time 1.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.946360965428e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
14 TS dt 0.1 time 1.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.377702949796e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
15 TS dt 0.1 time 1.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.246004191247e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
16 TS dt 0.1 time 1.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.624757324355e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
17 TS dt 0.1 time 1.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.387079414803e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
18 TS dt 0.1 time 1.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.187884694862e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
19 TS dt 0.1 time 1.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.179621381834e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
20 TS dt 0.1 time 2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.521840144246e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
21 TS dt 0.1 time 2.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.448581689405e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
22 TS dt 0.1 time 2.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.748645633289e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
23 TS dt 0.1 time 2.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.560438835942e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
24 TS dt 0.1 time 2.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.511401940242e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
25 TS dt 0.1 time 2.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.378726928086e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
26 TS dt 0.1 time 2.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.334427814912e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
27 TS dt 0.1 time 2.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.830104988308e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
28 TS dt 0.1 time 2.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.219763041097e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
29 TS dt 0.1 time 2.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.645515811145e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
30 TS dt 0.1 time 3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.395987890604e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
31 TS dt 0.1 time 3.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.400139707954e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
32 TS dt 0.1 time 3.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.069248234609e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
33 TS dt 0.1 time 3.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.053550120679e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
34 TS dt 0.1 time 3.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 4.692206461028e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
35 TS dt 0.1 time 3.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.119476099069e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
36 TS dt 0.1 time 3.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.337847526235e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
37 TS dt 0.1 time 3.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 6.156567962560e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
38 TS dt 0.1 time 3.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.121789317381e-08
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
39 TS dt 0.1 time 3.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 3.046902581889e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
40 TS dt 0.1 time 4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.675637990005e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
41 TS dt 0.1 time 4.1
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.437527938961e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
42 TS dt 0.1 time 4.2
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.011868310284e-08
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
43 TS dt 0.1 time 4.3
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 5.254068220833e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
44 TS dt 0.1 time 4.4
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.413532340720e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
45 TS dt 0.1 time 4.5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.932021770220e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
46 TS dt 0.1 time 4.6
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 1.814611914146e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
47 TS dt 0.1 time 4.7
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 9.880349938684e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
48 TS dt 0.1 time 4.8
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 6.460287174001e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
49 TS dt 0.1 time 4.9
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 7.359781445921e-10
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
50 TS dt 0.1 time 5
     0 SNES Function norm 7.276230036948e+00
     Linear solve converged due to CONVERGED_RTOL iterations 1
     1 SNES Function norm 2.000396050302e-09
   Nonlinear solve converged due to CONVERGED_FNORM_RELATIVE
51 TS dt 0.1 time 5.1



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