[petsc-users] sources of floating point randomness in JFNK in serial

Mark Lohry mlohry at gmail.com
Thu May 4 16:03:12 CDT 2023


>
> 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.


>   (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.


On Thu, May 4, 2023 at 4:57 PM Matthew Knepley <knepley at gmail.com> wrote:

> On Thu, May 4, 2023 at 4:44 PM Mark Lohry <mlohry at gmail.com> 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 <knepley at gmail.com>
>> wrote:
>>
>>> On Thu, May 4, 2023 at 8:54 AM Mark Lohry <mlohry at gmail.com> 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 <mfadams at lbl.gov> 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 <mlohry at gmail.com> 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 <mfadams at lbl.gov> 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 <knepley at gmail.com>
>>>>>>> wrote:
>>>>>>>
>>>>>>>> On Thu, May 4, 2023 at 8:21 AM Mark Lohry <mlohry at gmail.com> 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 <bsmith at petsc.dev>
>>>>>>>>> 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 <mlohry at gmail.com> 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 <bsmith at petsc.dev>
>>>>>>>>>> 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 <mlohry at gmail.com>
>>>>>>>>>>> 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/>
>
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