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> On May 4, 2023, at 5:35 PM, Mark Lohry <[email protected]> wrote:
> 
>> Sure, but why only once and why save to disk? Why not just use that computed 
>> approximate Jacobian at each Newton step to drive the Newton solves along 
>> for a bunch of time steps?
> 
> Ah I get what you mean. Okay I did three newton steps with the same LHS, with 
> a few repeated manual tests. 3 out of 4 times i got the same exact history. 
> is it in the realm of possibility that a hardware error could cause something 
> this subtle, bad memory bit or something?
> 
> 2 runs of 3 newton solves below, ever-so-slightly different.
> 
> 
>  0 SNES Function norm 3.424003312857e+04 
>     0 KSP Residual norm 3.424003312857e+04 
>     1 KSP Residual norm 2.886124328003e+04 
>     2 KSP Residual norm 2.504664994246e+04 
>     3 KSP Residual norm 2.104615835161e+04 
>     4 KSP Residual norm 1.938102896632e+04 
>     5 KSP Residual norm 1.793774642408e+04 
>     6 KSP Residual norm 1.671392566980e+04 
>     7 KSP Residual norm 1.501504103873e+04 
>     8 KSP Residual norm 1.366362900747e+04 
>     9 KSP Residual norm 1.240398500429e+04 
>    10 KSP Residual norm 1.156293733914e+04 
>    11 KSP Residual norm 1.066296477958e+04 
>    12 KSP Residual norm 9.835601966950e+03 
>    13 KSP Residual norm 9.017480191491e+03 
>    14 KSP Residual norm 8.415336139780e+03 
>    15 KSP Residual norm 7.807497808435e+03 
>    16 KSP Residual norm 7.341703768294e+03 
>    17 KSP Residual norm 6.979298049282e+03 
>    18 KSP Residual norm 6.521277772081e+03 
>    19 KSP Residual norm 6.174842408773e+03 
>    20 KSP Residual norm 5.889819665003e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 1.000525348433e+04 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
>   0 SNES Function norm 1.000525348433e+04 
>     0 KSP Residual norm 1.000525348433e+04 
>     1 KSP Residual norm 7.908741564765e+03 
>     2 KSP Residual norm 6.825263536686e+03 
>     3 KSP Residual norm 6.224930664968e+03 
>     4 KSP Residual norm 6.095547180532e+03 
>     5 KSP Residual norm 5.952968230430e+03 
>     6 KSP Residual norm 5.861251998116e+03 
>     7 KSP Residual norm 5.712439327755e+03 
>     8 KSP Residual norm 5.583056913266e+03 
>     9 KSP Residual norm 5.461768804626e+03 
>    10 KSP Residual norm 5.351937611098e+03 
>    11 KSP Residual norm 5.224288337578e+03 
>    12 KSP Residual norm 5.129863847081e+03 
>    13 KSP Residual norm 5.010818237218e+03 
>    14 KSP Residual norm 4.907162936199e+03 
>    15 KSP Residual norm 4.789564773955e+03 
>    16 KSP Residual norm 4.695173370720e+03 
>    17 KSP Residual norm 4.584070962171e+03 
>    18 KSP Residual norm 4.483061424742e+03 
>    19 KSP Residual norm 4.373384070745e+03 
>    20 KSP Residual norm 4.260704657592e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 4.662386014882e+03 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
>   0 SNES Function norm 4.662386014882e+03 
>     0 KSP Residual norm 4.662386014882e+03 
>     1 KSP Residual norm 4.408316259864e+03 
>     2 KSP Residual norm 4.184867769829e+03 
>     3 KSP Residual norm 4.079091244351e+03 
>     4 KSP Residual norm 4.009247390166e+03 
>     5 KSP Residual norm 3.928417371428e+03 
>     6 KSP Residual norm 3.865152075780e+03 
>     7 KSP Residual norm 3.795606446033e+03 
>     8 KSP Residual norm 3.735294554158e+03 
>     9 KSP Residual norm 3.674393726487e+03 
>    10 KSP Residual norm 3.617795166786e+03 
>    11 KSP Residual norm 3.563807982274e+03 
>    12 KSP Residual norm 3.512269444921e+03 
>    13 KSP Residual norm 3.455110223236e+03 
>    14 KSP Residual norm 3.407141247372e+03 
>    15 KSP Residual norm 3.356562415982e+03 
>    16 KSP Residual norm 3.312720047685e+03 
>    17 KSP Residual norm 3.263690150810e+03 
>    18 KSP Residual norm 3.219359862444e+03 
>    19 KSP Residual norm 3.173500955995e+03 
>    20 KSP Residual norm 3.127528790155e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 3.186752172556e+03 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
> 
> 
> 
>   0 SNES Function norm 3.424003312857e+04 
>     0 KSP Residual norm 3.424003312857e+04 
>     1 KSP Residual norm 2.886124328003e+04 
>     2 KSP Residual norm 2.504664994221e+04 
>     3 KSP Residual norm 2.104615835130e+04 
>     4 KSP Residual norm 1.938102896610e+04 
>     5 KSP Residual norm 1.793774642406e+04 
>     6 KSP Residual norm 1.671392566981e+04 
>     7 KSP Residual norm 1.501504103854e+04 
>     8 KSP Residual norm 1.366362900726e+04 
>     9 KSP Residual norm 1.240398500414e+04 
>    10 KSP Residual norm 1.156293733914e+04 
>    11 KSP Residual norm 1.066296477972e+04 
>    12 KSP Residual norm 9.835601967036e+03 
>    13 KSP Residual norm 9.017480191500e+03 
>    14 KSP Residual norm 8.415336139732e+03 
>    15 KSP Residual norm 7.807497808414e+03 
>    16 KSP Residual norm 7.341703768300e+03 
>    17 KSP Residual norm 6.979298049244e+03 
>    18 KSP Residual norm 6.521277772042e+03 
>    19 KSP Residual norm 6.174842408713e+03 
>    20 KSP Residual norm 5.889819664983e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 1.000525348435e+04 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
>   0 SNES Function norm 1.000525348435e+04 
>     0 KSP Residual norm 1.000525348435e+04 
>     1 KSP Residual norm 7.908741565645e+03 
>     2 KSP Residual norm 6.825263536988e+03 
>     3 KSP Residual norm 6.224930664967e+03 
>     4 KSP Residual norm 6.095547180474e+03 
>     5 KSP Residual norm 5.952968230397e+03 
>     6 KSP Residual norm 5.861251998127e+03 
>     7 KSP Residual norm 5.712439327726e+03 
>     8 KSP Residual norm 5.583056913167e+03 
>     9 KSP Residual norm 5.461768804526e+03 
>    10 KSP Residual norm 5.351937611030e+03 
>    11 KSP Residual norm 5.224288337536e+03 
>    12 KSP Residual norm 5.129863847028e+03 
>    13 KSP Residual norm 5.010818237161e+03 
>    14 KSP Residual norm 4.907162936143e+03 
>    15 KSP Residual norm 4.789564773923e+03 
>    16 KSP Residual norm 4.695173370709e+03 
>    17 KSP Residual norm 4.584070962145e+03 
>    18 KSP Residual norm 4.483061424714e+03 
>    19 KSP Residual norm 4.373384070713e+03 
>    20 KSP Residual norm 4.260704657576e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 4.662386014874e+03 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
>   0 SNES Function norm 4.662386014874e+03 
>     0 KSP Residual norm 4.662386014874e+03 
>     1 KSP Residual norm 4.408316259834e+03 
>     2 KSP Residual norm 4.184867769891e+03 
>     3 KSP Residual norm 4.079091244367e+03 
>     4 KSP Residual norm 4.009247390184e+03 
>     5 KSP Residual norm 3.928417371457e+03 
>     6 KSP Residual norm 3.865152075802e+03 
>     7 KSP Residual norm 3.795606446041e+03 
>     8 KSP Residual norm 3.735294554160e+03 
>     9 KSP Residual norm 3.674393726485e+03 
>    10 KSP Residual norm 3.617795166775e+03 
>    11 KSP Residual norm 3.563807982249e+03 
>    12 KSP Residual norm 3.512269444873e+03 
>    13 KSP Residual norm 3.455110223193e+03 
>    14 KSP Residual norm 3.407141247334e+03 
>    15 KSP Residual norm 3.356562415949e+03 
>    16 KSP Residual norm 3.312720047652e+03 
>    17 KSP Residual norm 3.263690150782e+03 
>    18 KSP Residual norm 3.219359862425e+03 
>    19 KSP Residual norm 3.173500955997e+03 
>    20 KSP Residual norm 3.127528790156e+03 
>   Linear solve converged due to CONVERGED_ITS iterations 20
> KSP Object: 1 MPI process
>   type: gmres
>     restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>     happy breakdown tolerance 1e-30
>   maximum iterations=20, initial guess is zero
>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>   left preconditioning
>   using PRECONDITIONED norm type for convergence test
> PC Object: 1 MPI process
>   type: none
>   linear system matrix = precond matrix:
>   Mat Object: 1 MPI process
>     type: seqbaij
>     rows=16384, cols=16384, bs=16
>     total: nonzeros=1277952, allocated nonzeros=1277952
>     total number of mallocs used during MatSetValues calls=0
>         block size is 16
>   1 SNES Function norm 3.186752172503e+03 
> Nonlinear solve converged due to CONVERGED_ITS iterations 1
> SNES Object: 1 MPI process
>   type: newtonls
>   maximum iterations=1, maximum function evaluations=-1
>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>   total number of linear solver iterations=20
>   total number of function evaluations=2
>   norm schedule ALWAYS
>   Jacobian is never rebuilt
>   Jacobian is built using finite differences with coloring
>   SNESLineSearch Object: 1 MPI process
>     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: 1 MPI process
>     type: gmres
>       restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization 
> with no iterative refinement
>       happy breakdown tolerance 1e-30
>     maximum iterations=20, initial guess is zero
>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>     left preconditioning
>     using PRECONDITIONED norm type for convergence test
>   PC Object: 1 MPI process
>     type: none
>     linear system matrix = precond matrix:
>     Mat Object: 1 MPI process
>       type: seqbaij
>       rows=16384, cols=16384, bs=16
>       total: nonzeros=1277952, allocated nonzeros=1277952
>       total number of mallocs used during MatSetValues calls=0
>           block size is 16
> 
> On Thu, May 4, 2023 at 5:22 PM Matthew Knepley <[email protected] 
> <mailto:[email protected]>> wrote:
>> On Thu, May 4, 2023 at 5:03 PM Mark Lohry <[email protected] 
>> <mailto:[email protected]>> wrote:
>>>> Do you get different results (in different runs) without  
>>>> -snes_mf_operator? So just using an explicit matrix?
>>> 
>>> Unfortunately I don't have an explicit matrix available for this, hence the 
>>> MFFD/JFNK.
>> 
>> I don't mean the actual matrix, I mean a representative matrix.
>>  
>>>> 
>>>>   (Note: I am not convinced there is even a problem and think it may be 
>>>> simply different order of floating point operations in different runs.)
>>> 
>>> I'm not convinced either, but running explicit RK for 10,000 iterations i 
>>> get exactly the same results every time so i'm fairly confident it's not 
>>> the residual evaluation.
>>> How would there be a different order of floating point ops in different 
>>> runs in serial?
>>> 
>>>> No, I mean without -snes_mf_* (as Barry says), so we are just running that 
>>>> solver with a sparse matrix. This would give me confidence
>>>> that nothing in the solver is variable.
>>>> 
>>> I could do the sparse finite difference jacobian once, save it to disk, and 
>>> then use that system each time.
>> 
>> Yes. That would work.
>> 
>>   Thanks,
>> 
>>      Matt
>>  
>>> On Thu, May 4, 2023 at 4:57 PM Matthew Knepley <[email protected] 
>>> <mailto:[email protected]>> wrote:
>>>> On Thu, May 4, 2023 at 4:44 PM Mark Lohry <[email protected] 
>>>> <mailto:[email protected]>> wrote:
>>>>>> Is your code valgrind clean?
>>>>> 
>>>>> Yes, I also initialize all allocations with NaNs to be sure I'm not using 
>>>>> anything uninitialized. 
>>>>> 
>>>>>> 
>>>>>> We can try and test this. Replace your MatMFFD with an actual matrix and 
>>>>>> run. Do you see any variability?
>>>>> 
>>>>> I think I did what you're asking. I have -snes_mf_operator set, and then 
>>>>> SNESSetJacobian(snes, diag_ones, diag_ones, NULL, NULL) where diag_ones 
>>>>> is a matrix with ones on the diagonal. Two runs below, still with 
>>>>> differences but sometimes identical.
>>>> 
>>>> No, I mean without -snes_mf_* (as Barry says), so we are just running that 
>>>> solver with a sparse matrix. This would give me confidence
>>>> that nothing in the solver is variable.
>>>> 
>>>>   Thanks,
>>>> 
>>>>      Matt
>>>>  
>>>>>   0 SNES Function norm 3.424003312857e+04 
>>>>>     0 KSP Residual norm 3.424003312857e+04 
>>>>>     1 KSP Residual norm 2.871734444536e+04 
>>>>>     2 KSP Residual norm 2.490276930242e+04 
>>>>>     3 KSP Residual norm 2.131675872968e+04 
>>>>>     4 KSP Residual norm 1.973129814235e+04 
>>>>>     5 KSP Residual norm 1.832377856317e+04 
>>>>>     6 KSP Residual norm 1.716783617436e+04 
>>>>>     7 KSP Residual norm 1.583963149542e+04 
>>>>>     8 KSP Residual norm 1.482272170304e+04 
>>>>>     9 KSP Residual norm 1.380312106742e+04 
>>>>>    10 KSP Residual norm 1.297793480658e+04 
>>>>>    11 KSP Residual norm 1.208599123244e+04 
>>>>>    12 KSP Residual norm 1.137345655227e+04 
>>>>>    13 KSP Residual norm 1.059676909366e+04 
>>>>>    14 KSP Residual norm 1.003823862398e+04 
>>>>>    15 KSP Residual norm 9.425879221354e+03 
>>>>>    16 KSP Residual norm 8.954805890038e+03 
>>>>>    17 KSP Residual norm 8.592372470456e+03 
>>>>>    18 KSP Residual norm 8.060707175821e+03 
>>>>>    19 KSP Residual norm 7.782057728723e+03 
>>>>>    20 KSP Residual norm 7.449686095424e+03 
>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>> KSP Object: 1 MPI process
>>>>>   type: gmres
>>>>>     restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>> Orthogonalization with no iterative refinement
>>>>>     happy breakdown tolerance 1e-30
>>>>>   maximum iterations=20, initial guess is zero
>>>>>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>>>>>   left preconditioning
>>>>>   using PRECONDITIONED norm type for convergence test
>>>>> PC Object: 1 MPI process
>>>>>   type: none
>>>>>   linear system matrix followed by preconditioner matrix:
>>>>>   Mat Object: 1 MPI process
>>>>>     type: mffd
>>>>>     rows=16384, cols=16384
>>>>>       Matrix-free approximation:
>>>>>         err=1.49012e-08 (relative error in function evaluation)
>>>>>         Using wp compute h routine
>>>>>             Does not compute normU
>>>>>   Mat Object: 1 MPI process
>>>>>     type: seqaij
>>>>>     rows=16384, cols=16384
>>>>>     total: nonzeros=16384, allocated nonzeros=16384
>>>>>     total number of mallocs used during MatSetValues calls=0
>>>>>       not using I-node routines
>>>>>   1 SNES Function norm 1.085015646971e+04 
>>>>> Nonlinear solve converged due to CONVERGED_ITS iterations 1
>>>>> SNES Object: 1 MPI process
>>>>>   type: newtonls
>>>>>   maximum iterations=1, maximum function evaluations=-1
>>>>>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>>>>>   total number of linear solver iterations=20
>>>>>   total number of function evaluations=23
>>>>>   norm schedule ALWAYS
>>>>>   Jacobian is never rebuilt
>>>>>   Jacobian is applied matrix-free with differencing
>>>>>   Preconditioning Jacobian is built using finite differences with coloring
>>>>>   SNESLineSearch Object: 1 MPI process
>>>>>     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: 1 MPI process
>>>>>     type: gmres
>>>>>       restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>> Orthogonalization with no iterative refinement
>>>>>       happy breakdown tolerance 1e-30
>>>>>     maximum iterations=20, initial guess is zero
>>>>>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>>>>>     left preconditioning
>>>>>     using PRECONDITIONED norm type for convergence test
>>>>>   PC Object: 1 MPI process
>>>>>     type: none
>>>>>     linear system matrix followed by preconditioner matrix:
>>>>>     Mat Object: 1 MPI process
>>>>>       type: mffd
>>>>>       rows=16384, cols=16384
>>>>>         Matrix-free approximation:
>>>>>           err=1.49012e-08 (relative error in function evaluation)
>>>>>           Using wp compute h routine
>>>>>               Does not compute normU
>>>>>     Mat Object: 1 MPI process
>>>>>       type: seqaij
>>>>>       rows=16384, cols=16384
>>>>>       total: nonzeros=16384, allocated nonzeros=16384
>>>>>       total number of mallocs used during MatSetValues calls=0
>>>>>         not using I-node routines
>>>>> 
>>>>>   0 SNES Function norm 3.424003312857e+04 
>>>>>     0 KSP Residual norm 3.424003312857e+04 
>>>>>     1 KSP Residual norm 2.871734444536e+04 
>>>>>     2 KSP Residual norm 2.490276931041e+04 
>>>>>     3 KSP Residual norm 2.131675873776e+04 
>>>>>     4 KSP Residual norm 1.973129814908e+04 
>>>>>     5 KSP Residual norm 1.832377852186e+04 
>>>>>     6 KSP Residual norm 1.716783608174e+04 
>>>>>     7 KSP Residual norm 1.583963128956e+04 
>>>>>     8 KSP Residual norm 1.482272160069e+04 
>>>>>     9 KSP Residual norm 1.380312087005e+04 
>>>>>    10 KSP Residual norm 1.297793458796e+04 
>>>>>    11 KSP Residual norm 1.208599115602e+04 
>>>>>    12 KSP Residual norm 1.137345657533e+04 
>>>>>    13 KSP Residual norm 1.059676906197e+04 
>>>>>    14 KSP Residual norm 1.003823857515e+04 
>>>>>    15 KSP Residual norm 9.425879177747e+03 
>>>>>    16 KSP Residual norm 8.954805850825e+03 
>>>>>    17 KSP Residual norm 8.592372413320e+03 
>>>>>    18 KSP Residual norm 8.060706994110e+03 
>>>>>    19 KSP Residual norm 7.782057560782e+03 
>>>>>    20 KSP Residual norm 7.449686034356e+03 
>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>> KSP Object: 1 MPI process
>>>>>   type: gmres
>>>>>     restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>> Orthogonalization with no iterative refinement
>>>>>     happy breakdown tolerance 1e-30
>>>>>   maximum iterations=20, initial guess is zero
>>>>>   tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>>>>>   left preconditioning
>>>>>   using PRECONDITIONED norm type for convergence test
>>>>> PC Object: 1 MPI process
>>>>>   type: none
>>>>>   linear system matrix followed by preconditioner matrix:
>>>>>   Mat Object: 1 MPI process
>>>>>     type: mffd
>>>>>     rows=16384, cols=16384
>>>>>       Matrix-free approximation:
>>>>>         err=1.49012e-08 (relative error in function evaluation)
>>>>>         Using wp compute h routine
>>>>>             Does not compute normU
>>>>>   Mat Object: 1 MPI process
>>>>>     type: seqaij
>>>>>     rows=16384, cols=16384
>>>>>     total: nonzeros=16384, allocated nonzeros=16384
>>>>>     total number of mallocs used during MatSetValues calls=0
>>>>>       not using I-node routines
>>>>>   1 SNES Function norm 1.085015821006e+04 
>>>>> Nonlinear solve converged due to CONVERGED_ITS iterations 1
>>>>> SNES Object: 1 MPI process
>>>>>   type: newtonls
>>>>>   maximum iterations=1, maximum function evaluations=-1
>>>>>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>>>>>   total number of linear solver iterations=20
>>>>>   total number of function evaluations=23
>>>>>   norm schedule ALWAYS
>>>>>   Jacobian is never rebuilt
>>>>>   Jacobian is applied matrix-free with differencing
>>>>>   Preconditioning Jacobian is built using finite differences with coloring
>>>>>   SNESLineSearch Object: 1 MPI process
>>>>>     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: 1 MPI process
>>>>>     type: gmres
>>>>>       restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>> Orthogonalization with no iterative refinement
>>>>>       happy breakdown tolerance 1e-30
>>>>>     maximum iterations=20, initial guess is zero
>>>>>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>>>>>     left preconditioning
>>>>>     using PRECONDITIONED norm type for convergence test
>>>>>   PC Object: 1 MPI process
>>>>>     type: none
>>>>>     linear system matrix followed by preconditioner matrix:
>>>>>     Mat Object: 1 MPI process
>>>>>       type: mffd
>>>>>       rows=16384, cols=16384
>>>>>         Matrix-free approximation:
>>>>>           err=1.49012e-08 (relative error in function evaluation)
>>>>>           Using wp compute h routine
>>>>>               Does not compute normU
>>>>>     Mat Object: 1 MPI process
>>>>>       type: seqaij
>>>>>       rows=16384, cols=16384
>>>>>       total: nonzeros=16384, allocated nonzeros=16384
>>>>>       total number of mallocs used during MatSetValues calls=0
>>>>>         not using I-node routines
>>>>> 
>>>>> On Thu, May 4, 2023 at 10:10 AM Matthew Knepley <[email protected] 
>>>>> <mailto:[email protected]>> wrote:
>>>>>> On Thu, May 4, 2023 at 8:54 AM Mark Lohry <[email protected] 
>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>> Try -pc_type none.
>>>>>>> 
>>>>>>> With -pc_type none the 0 KSP residual looks identical. But *sometimes* 
>>>>>>> it's producing exactly the same history and others it's gradually 
>>>>>>> changing.  I'm reasonably confident my residual evaluation has no 
>>>>>>> randomness, see info after the petsc output.
>>>>>> 
>>>>>> We can try and test this. Replace your MatMFFD with an actual matrix and 
>>>>>> run. Do you see any variability?
>>>>>> 
>>>>>> If not, then it could be your routine, or it could be MatMFFD. So run a 
>>>>>> few with -snes_view, and we can see if the
>>>>>> "w" parameter changes.
>>>>>> 
>>>>>>   Thanks,
>>>>>> 
>>>>>>      Matt
>>>>>>  
>>>>>>> solve history 1:
>>>>>>> 
>>>>>>>   0 SNES Function norm 3.424003312857e+04 
>>>>>>>     0 KSP Residual norm 3.424003312857e+04 
>>>>>>>     1 KSP Residual norm 2.871734444536e+04 
>>>>>>>     2 KSP Residual norm 2.490276931041e+04 
>>>>>>> ...
>>>>>>>    20 KSP Residual norm 7.449686034356e+03 
>>>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>>>>   1 SNES Function norm 1.085015821006e+04 
>>>>>>> 
>>>>>>> solve history 2, identical to 1:
>>>>>>> 
>>>>>>>   0 SNES Function norm 3.424003312857e+04 
>>>>>>>     0 KSP Residual norm 3.424003312857e+04 
>>>>>>>     1 KSP Residual norm 2.871734444536e+04 
>>>>>>>     2 KSP Residual norm 2.490276931041e+04 
>>>>>>> ...
>>>>>>>    20 KSP Residual norm 7.449686034356e+03 
>>>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>>>>   1 SNES Function norm 1.085015821006e+04 
>>>>>>> 
>>>>>>> solve history 3, identical KSP at 0 and 1, slight change at 2, growing 
>>>>>>> difference to the end:
>>>>>>>   0 SNES Function norm 3.424003312857e+04 
>>>>>>>     0 KSP Residual norm 3.424003312857e+04 
>>>>>>>     1 KSP Residual norm 2.871734444536e+04 
>>>>>>>     2 KSP Residual norm 2.490276930242e+04 
>>>>>>> ... 
>>>>>>>  20 KSP Residual norm 7.449686095424e+03 
>>>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>>>>   1 SNES Function norm 1.085015646971e+04 
>>>>>>> 
>>>>>>> 
>>>>>>> Ths is using a standard explicit 3-stage Runge-Kutta smoother for 10 
>>>>>>> iterations, so 30 calls of the same residual evaluation, identical 
>>>>>>> residuals every time
>>>>>>> 
>>>>>>> run 1:
>>>>>>> 
>>>>>>> # iteration            rho                 rhou                rhov     
>>>>>>>            rhoE                abs_res             rel_res             
>>>>>>> umin                vmax                vmin                
>>>>>>> elapsed_time      
>>>>>>> #                                                                       
>>>>>>>                                                                         
>>>>>>>                                                                    
>>>>>>>           1.00000e+00  1.086860616292e+00  2.782316758416e+02  
>>>>>>> 4.482867643761e+00  2.993435920340e+02         2.04353e+02         
>>>>>>> 1.00000e+00        -8.23945e-15        -6.15326e-15        -1.35563e-14 
>>>>>>>         6.34834e-01
>>>>>>>           2.00000e+00  2.310547487017e+00  1.079059352425e+02  
>>>>>>> 3.958323921837e+00  5.058927165686e+02         2.58647e+02         
>>>>>>> 1.26568e+00        -1.02539e-14        -9.35368e-15        -1.69925e-14 
>>>>>>>         6.40063e-01
>>>>>>>           3.00000e+00  2.361005867444e+00  5.706213331683e+01  
>>>>>>> 6.130016323357e+00  4.688968362579e+02         2.36201e+02         
>>>>>>> 1.15585e+00        -1.19370e-14        -1.15216e-14        -1.59733e-14 
>>>>>>>         6.45166e-01
>>>>>>>           4.00000e+00  2.167518999963e+00  3.757541401594e+01  
>>>>>>> 6.313917437428e+00  4.054310291628e+02         2.03612e+02         
>>>>>>> 9.96372e-01        -1.81831e-14        -1.28312e-14        -1.46238e-14 
>>>>>>>         6.50494e-01
>>>>>>>           5.00000e+00  1.941443738676e+00  2.884190334049e+01  
>>>>>>> 6.237106158479e+00  3.539201037156e+02         1.77577e+02         
>>>>>>> 8.68970e-01         3.56633e-14        -8.74089e-15        -1.06666e-14 
>>>>>>>         6.55656e-01
>>>>>>>           6.00000e+00  1.736947124693e+00  2.429485695670e+01  
>>>>>>> 5.996962200407e+00  3.148280178142e+02         1.57913e+02         
>>>>>>> 7.72745e-01        -8.98634e-14        -2.41152e-14        -1.39713e-14 
>>>>>>>         6.60872e-01
>>>>>>>           7.00000e+00  1.564153212635e+00  2.149609219810e+01  
>>>>>>> 5.786910705204e+00  2.848717011033e+02         1.42872e+02         
>>>>>>> 6.99144e-01        -2.95352e-13        -2.48158e-14        -2.39351e-14 
>>>>>>>         6.66041e-01
>>>>>>>           8.00000e+00  1.419280815384e+00  1.950619804089e+01  
>>>>>>> 5.627281158306e+00  2.606623371229e+02         1.30728e+02         
>>>>>>> 6.39715e-01         8.98941e-13         1.09674e-13         3.78905e-14 
>>>>>>>         6.71316e-01
>>>>>>>           9.00000e+00  1.296115915975e+00  1.794843530745e+01  
>>>>>>> 5.514933264437e+00  2.401524522393e+02         1.20444e+02         
>>>>>>> 5.89394e-01         1.70717e-12         1.38762e-14         1.09825e-13 
>>>>>>>         6.76447e-01
>>>>>>>           1.00000e+01  1.189639693918e+00  1.665381754953e+01  
>>>>>>> 5.433183087037e+00  2.222572900473e+02         1.11475e+02         
>>>>>>> 5.45501e-01        -4.22462e-12        -7.15206e-13        -2.28736e-13 
>>>>>>>         6.81716e-01
>>>>>>> 
>>>>>>> run N:
>>>>>>> 
>>>>>>> 
>>>>>>> #                                                                       
>>>>>>>                                                                         
>>>>>>>                                                                    
>>>>>>> # iteration            rho                 rhou                rhov     
>>>>>>>            rhoE                abs_res             rel_res             
>>>>>>> umin                vmax                vmin                
>>>>>>> elapsed_time      
>>>>>>> #                                                                       
>>>>>>>                                                                         
>>>>>>>                                                                    
>>>>>>>           1.00000e+00  1.086860616292e+00  2.782316758416e+02  
>>>>>>> 4.482867643761e+00  2.993435920340e+02         2.04353e+02         
>>>>>>> 1.00000e+00        -8.23945e-15        -6.15326e-15        -1.35563e-14 
>>>>>>>         6.23316e-01
>>>>>>>           2.00000e+00  2.310547487017e+00  1.079059352425e+02  
>>>>>>> 3.958323921837e+00  5.058927165686e+02         2.58647e+02         
>>>>>>> 1.26568e+00        -1.02539e-14        -9.35368e-15        -1.69925e-14 
>>>>>>>         6.28510e-01
>>>>>>>           3.00000e+00  2.361005867444e+00  5.706213331683e+01  
>>>>>>> 6.130016323357e+00  4.688968362579e+02         2.36201e+02         
>>>>>>> 1.15585e+00        -1.19370e-14        -1.15216e-14        -1.59733e-14 
>>>>>>>         6.33558e-01
>>>>>>>           4.00000e+00  2.167518999963e+00  3.757541401594e+01  
>>>>>>> 6.313917437428e+00  4.054310291628e+02         2.03612e+02         
>>>>>>> 9.96372e-01        -1.81831e-14        -1.28312e-14        -1.46238e-14 
>>>>>>>         6.38773e-01
>>>>>>>           5.00000e+00  1.941443738676e+00  2.884190334049e+01  
>>>>>>> 6.237106158479e+00  3.539201037156e+02         1.77577e+02         
>>>>>>> 8.68970e-01         3.56633e-14        -8.74089e-15        -1.06666e-14 
>>>>>>>         6.43887e-01
>>>>>>>           6.00000e+00  1.736947124693e+00  2.429485695670e+01  
>>>>>>> 5.996962200407e+00  3.148280178142e+02         1.57913e+02         
>>>>>>> 7.72745e-01        -8.98634e-14        -2.41152e-14        -1.39713e-14 
>>>>>>>         6.49073e-01
>>>>>>>           7.00000e+00  1.564153212635e+00  2.149609219810e+01  
>>>>>>> 5.786910705204e+00  2.848717011033e+02         1.42872e+02         
>>>>>>> 6.99144e-01        -2.95352e-13        -2.48158e-14        -2.39351e-14 
>>>>>>>         6.54167e-01
>>>>>>>           8.00000e+00  1.419280815384e+00  1.950619804089e+01  
>>>>>>> 5.627281158306e+00  2.606623371229e+02         1.30728e+02         
>>>>>>> 6.39715e-01         8.98941e-13         1.09674e-13         3.78905e-14 
>>>>>>>         6.59394e-01
>>>>>>>           9.00000e+00  1.296115915975e+00  1.794843530745e+01  
>>>>>>> 5.514933264437e+00  2.401524522393e+02         1.20444e+02         
>>>>>>> 5.89394e-01         1.70717e-12         1.38762e-14         1.09825e-13 
>>>>>>>         6.64516e-01
>>>>>>>           1.00000e+01  1.189639693918e+00  1.665381754953e+01  
>>>>>>> 5.433183087037e+00  2.222572900473e+02         1.11475e+02         
>>>>>>> 5.45501e-01        -4.22462e-12        -7.15206e-13        -2.28736e-13 
>>>>>>>         6.69677e-01
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> 
>>>>>>> On Thu, May 4, 2023 at 8:41 AM Mark Adams <[email protected] 
>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>> ASM is just the sub PC with one proc but gets weaker with more procs 
>>>>>>>> unless you use jacobi. (maybe I am missing something).
>>>>>>>> 
>>>>>>>> On Thu, May 4, 2023 at 8:31 AM Mark Lohry <[email protected] 
>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>  Please send the output of -snes_view. 
>>>>>>>>> pasted below. anything stand out?
>>>>>>>>> 
>>>>>>>>> 
>>>>>>>>> SNES Object: 1 MPI process
>>>>>>>>>   type: newtonls
>>>>>>>>>   maximum iterations=1, maximum function evaluations=-1
>>>>>>>>>   tolerances: relative=0.1, absolute=1e-15, solution=1e-15
>>>>>>>>>   total number of linear solver iterations=20
>>>>>>>>>   total number of function evaluations=22
>>>>>>>>>   norm schedule ALWAYS
>>>>>>>>>   Jacobian is never rebuilt
>>>>>>>>>   Jacobian is applied matrix-free with differencing
>>>>>>>>>   Preconditioning Jacobian is built using finite differences with 
>>>>>>>>> coloring
>>>>>>>>>   SNESLineSearch Object: 1 MPI process
>>>>>>>>>     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: 1 MPI process
>>>>>>>>>     type: gmres
>>>>>>>>>       restart=30, using Classical (unmodified) Gram-Schmidt 
>>>>>>>>> Orthogonalization with no iterative refinement
>>>>>>>>>       happy breakdown tolerance 1e-30
>>>>>>>>>     maximum iterations=20, initial guess is zero
>>>>>>>>>     tolerances:  relative=0.1, absolute=1e-15, divergence=10.
>>>>>>>>>     left preconditioning
>>>>>>>>>     using PRECONDITIONED norm type for convergence test
>>>>>>>>>   PC Object: 1 MPI process
>>>>>>>>>     type: asm
>>>>>>>>>       total subdomain blocks = 1, amount of overlap = 0
>>>>>>>>>       restriction/interpolation type - RESTRICT
>>>>>>>>>       Local solver information for first block is in the following 
>>>>>>>>> KSP and PC objects on rank 0:
>>>>>>>>>       Use -ksp_view ::ascii_info_detail to display information for 
>>>>>>>>> all blocks
>>>>>>>>>     KSP Object: (sub_) 1 MPI process
>>>>>>>>>       type: preonly
>>>>>>>>>       maximum iterations=10000, initial guess is zero
>>>>>>>>>       tolerances:  relative=1e-05, absolute=1e-50, divergence=10000.
>>>>>>>>>       left preconditioning
>>>>>>>>>       using NONE norm type for convergence test
>>>>>>>>>     PC Object: (sub_) 1 MPI process
>>>>>>>>>       type: ilu
>>>>>>>>>         out-of-place factorization
>>>>>>>>>         0 levels of fill
>>>>>>>>>         tolerance for zero pivot 2.22045e-14
>>>>>>>>>         matrix ordering: natural
>>>>>>>>>         factor fill ratio given 1., needed 1.
>>>>>>>>>           Factored matrix follows:
>>>>>>>>>             Mat Object: (sub_) 1 MPI process
>>>>>>>>>               type: seqbaij
>>>>>>>>>               rows=16384, cols=16384, bs=16
>>>>>>>>>               package used to perform factorization: petsc
>>>>>>>>>               total: nonzeros=1277952, allocated nonzeros=1277952
>>>>>>>>>                   block size is 16
>>>>>>>>>       linear system matrix = precond matrix:
>>>>>>>>>       Mat Object: (sub_) 1 MPI process
>>>>>>>>>         type: seqbaij
>>>>>>>>>         rows=16384, cols=16384, bs=16
>>>>>>>>>         total: nonzeros=1277952, allocated nonzeros=1277952
>>>>>>>>>         total number of mallocs used during MatSetValues calls=0
>>>>>>>>>             block size is 16
>>>>>>>>>     linear system matrix followed by preconditioner matrix:
>>>>>>>>>     Mat Object: 1 MPI process
>>>>>>>>>       type: mffd
>>>>>>>>>       rows=16384, cols=16384
>>>>>>>>>         Matrix-free approximation:
>>>>>>>>>           err=1.49012e-08 (relative error in function evaluation)
>>>>>>>>>           Using wp compute h routine
>>>>>>>>>               Does not compute normU
>>>>>>>>>     Mat Object: 1 MPI process
>>>>>>>>>       type: seqbaij
>>>>>>>>>       rows=16384, cols=16384, bs=16
>>>>>>>>>       total: nonzeros=1277952, allocated nonzeros=1277952
>>>>>>>>>       total number of mallocs used during MatSetValues calls=0
>>>>>>>>>           block size is 16
>>>>>>>>> 
>>>>>>>>> On Thu, May 4, 2023 at 8:30 AM Mark Adams <[email protected] 
>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>> If you are using MG what is the coarse grid solver?
>>>>>>>>>> -snes_view might give you that.
>>>>>>>>>> 
>>>>>>>>>> On Thu, May 4, 2023 at 8:25 AM Matthew Knepley <[email protected] 
>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>> On Thu, May 4, 2023 at 8:21 AM Mark Lohry <[email protected] 
>>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>>>> Do they start very similarly and then slowly drift further apart?
>>>>>>>>>>>> 
>>>>>>>>>>>> Yes, this. I take it this sounds familiar?
>>>>>>>>>>>> 
>>>>>>>>>>>> See these two examples with 20 fixed iterations pasted at the end. 
>>>>>>>>>>>> The difference for one solve is slight (final SNES norm is 
>>>>>>>>>>>> identical to 5 digits), but in the context I'm using it in 
>>>>>>>>>>>> (repeated applications to solve a steady state multigrid problem, 
>>>>>>>>>>>> though here just one level) the differences add up such that I 
>>>>>>>>>>>> might reach global convergence in 35 iterations or 38. It's not 
>>>>>>>>>>>> the end of the world, but I was expecting that with -np 1 these 
>>>>>>>>>>>> would be identical and I'm not sure where the root cause would be.
>>>>>>>>>>> 
>>>>>>>>>>> The initial KSP residual is different, so its the PC. Please send 
>>>>>>>>>>> the output of -snes_view. If your ASM is using direct 
>>>>>>>>>>> factorization, then it
>>>>>>>>>>> could be randomness in whatever LU you are using.
>>>>>>>>>>> 
>>>>>>>>>>>   Thanks,
>>>>>>>>>>> 
>>>>>>>>>>>     Matt
>>>>>>>>>>>  
>>>>>>>>>>>>   0 SNES Function norm 2.801842107848e+04 
>>>>>>>>>>>>     0 KSP Residual norm 4.045639499595e+01 
>>>>>>>>>>>>     1 KSP Residual norm 1.917999809040e+01 
>>>>>>>>>>>>     2 KSP Residual norm 1.616048521958e+01 
>>>>>>>>>>>> [...]
>>>>>>>>>>>>    19 KSP Residual norm 8.788043518111e-01 
>>>>>>>>>>>>    20 KSP Residual norm 6.570851270214e-01 
>>>>>>>>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>>>>>>>>>   1 SNES Function norm 1.801309983345e+03 
>>>>>>>>>>>> Nonlinear solve converged due to CONVERGED_ITS iterations 1
>>>>>>>>>>>> 
>>>>>>>>>>>> 
>>>>>>>>>>>> Same system, identical initial 0 SNES norm, 0 KSP is slightly 
>>>>>>>>>>>> different
>>>>>>>>>>>> 
>>>>>>>>>>>>   0 SNES Function norm 2.801842107848e+04 
>>>>>>>>>>>>     0 KSP Residual norm 4.045639473002e+01 
>>>>>>>>>>>>     1 KSP Residual norm 1.917999883034e+01 
>>>>>>>>>>>>     2 KSP Residual norm 1.616048572016e+01 
>>>>>>>>>>>> [...]
>>>>>>>>>>>>    19 KSP Residual norm 8.788046348957e-01 
>>>>>>>>>>>>    20 KSP Residual norm 6.570859588610e-01 
>>>>>>>>>>>>   Linear solve converged due to CONVERGED_ITS iterations 20
>>>>>>>>>>>>   1 SNES Function norm 1.801311320322e+03 
>>>>>>>>>>>> Nonlinear solve converged due to CONVERGED_ITS iterations 1
>>>>>>>>>>>> 
>>>>>>>>>>>> On Wed, May 3, 2023 at 11:05 PM Barry Smith <[email protected] 
>>>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>>>> 
>>>>>>>>>>>>>   Do they start very similarly and then slowly drift further 
>>>>>>>>>>>>> apart? That is the first couple of KSP iterations they are almost 
>>>>>>>>>>>>> identical but then for each iteration get a bit further. Similar 
>>>>>>>>>>>>> for the SNES iterations, starting close and then for more 
>>>>>>>>>>>>> iterations and more solves they start moving apart. Or do they 
>>>>>>>>>>>>> suddenly jump to be very different? You can run with 
>>>>>>>>>>>>> -snes_monitor -ksp_monitor 
>>>>>>>>>>>>> 
>>>>>>>>>>>>>> On May 3, 2023, at 9:07 PM, Mark Lohry <[email protected] 
>>>>>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> This is on a single MPI rank. I haven't checked the coloring, 
>>>>>>>>>>>>>> was just guessing there. But the solutions/residuals are 
>>>>>>>>>>>>>> slightly different from run to run.
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> Fair to say that for serial JFNK/asm ilu0/gmres we should expect 
>>>>>>>>>>>>>> bitwise identical results?
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> 
>>>>>>>>>>>>>> On Wed, May 3, 2023, 8:50 PM Barry Smith <[email protected] 
>>>>>>>>>>>>>> <mailto:[email protected]>> wrote:
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>>   No, the coloring should be identical every time. Do you see 
>>>>>>>>>>>>>>> differences with 1 MPI rank? (Or much smaller ones?).
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>>>> > On May 3, 2023, at 8:42 PM, Mark Lohry <[email protected] 
>>>>>>>>>>>>>>> > <mailto:[email protected]>> wrote:
>>>>>>>>>>>>>>> > 
>>>>>>>>>>>>>>> > I'm running multiple iterations of newtonls with an MFFD/JFNK 
>>>>>>>>>>>>>>> > nonlinear solver where I give it the sparsity. PC asm, KSP 
>>>>>>>>>>>>>>> > gmres, with SNESSetLagJacobian -2 (compute once and then 
>>>>>>>>>>>>>>> > frozen jacobian).
>>>>>>>>>>>>>>> > 
>>>>>>>>>>>>>>> > I'm seeing slight (<1%) but nonzero differences in residuals 
>>>>>>>>>>>>>>> > from run to run. I'm wondering where randomness might enter 
>>>>>>>>>>>>>>> > here -- does the jacobian coloring use a random seed?
>>>>>>>>>>>>>>> 
>>>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> 
>>>>>>>>>>> -- 
>>>>>>>>>>> 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
>>>>>>>>>>> 
>>>>>>>>>>> https://www.cse.buffalo.edu/~knepley/ 
>>>>>>>>>>> <http://www.cse.buffalo.edu/~knepley/>
>>>>>> 
>>>>>> 
>>>>>> -- 
>>>>>> 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
>>>>>> 
>>>>>> https://www.cse.buffalo.edu/~knepley/ 
>>>>>> <http://www.cse.buffalo.edu/~knepley/>
>>>> 
>>>> 
>>>> -- 
>>>> 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
>>>> 
>>>> https://www.cse.buffalo.edu/~knepley/ 
>>>> <http://www.cse.buffalo.edu/~knepley/>
>> 
>> 
>> -- 
>> 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
>> 
>> https://www.cse.buffalo.edu/~knepley/ <http://www.cse.buffalo.edu/~knepley/>

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