[petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
Barry Smith
bsmith at petsc.dev
Tue May 7 13:28:20 CDT 2024
Have you considered https://urldefense.us/v3/__https://www.pflotran.org/documentation/user_guide/how_to/installation/installation.html__;!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTVuCSJdSs$
> On May 7, 2024, at 2:22 PM, Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov> wrote:
>
> This Message Is From an External Sender
> This message came from outside your organization.
> Hello everyone,
>
> I hope this email finds you well.
>
>
> My Name is Sawsan Shatanawi, and I was developing a Fortran code for simulating groundwater flow in a 3D system with nonlinear behavior. I solved the nonlinear system using the PCG solver and Picard iteration, but I did not get good results although I checked my matrix and RHS and everything, I decided to change my solver to Newton Rapson method.
> I checked PETSc documents but I have a few questions:
> 1) My groundwater system is time-dependent, so should I use TS only instead of SNES?
> 2) My system has its deltaT, would using deltaT as dt affect my solver, or is it better to use TS-PETSc dt? Also, would using PETSc dt affect the simulation of the groundwater system
> 3) I want my Jacobian matrix to be calculated by PETSc automatically
> 4) Do I need to define and calculate the residual vector?
>
> My A-Matrix contains coefficients and external sources and my RHS vector includes the boundary conditions
>
>
> Please find the attached file contains a draft of my code
>
> Thank you in advance for your time and help.
>
> Best regards,
>
> Sawsan
>
>
> From: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
> Sent: Tuesday, January 16, 2024 10:43 AM
> To: Junchao Zhang <junchao.zhang at gmail.com <mailto:junchao.zhang at gmail.com>>
> Cc: Barry Smith <bsmith at petsc.dev <mailto:bsmith at petsc.dev>>; Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>>; Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>
> Hello all,
>
> Thank you for your valuable help. I will do your recommendations and hope it will run without any issues.
>
> Bests,
> Sawsan
>
> From: Junchao Zhang <junchao.zhang at gmail.com <mailto:junchao.zhang at gmail.com>>
> Sent: Friday, January 12, 2024 8:46 AM
> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
> Cc: Barry Smith <bsmith at petsc.dev <mailto:bsmith at petsc.dev>>; Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>>; Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>
> [EXTERNAL EMAIL]
> Hi, Sawsan,
> First in test_main.F90, you need to call VecGetArrayF90(temp_solution, H_vector, ierr) and VecRestoreArrayF90 (temp_solution, H_vector, ierr) as Barry mentioned.
> Secondly, in the loop of test_main.F90, it calls GW_solver(). Within it, it calls PetscInitialize()/PetscFinalize(). But without MPI being initialized, PetscInitialize()/PetscFinalize() can only be called once.
> do timestep =2 , NTSP
> call GW_boundary_conditions(timestep-1)
> !print *,HNEW(1,1,1)
> call GW_elevation()
> ! print *, GWTOP(2,2,2)
> call GW_conductance()
> ! print *, CC(2,2,2)
> call GW_recharge()
> ! print *, B_Rech(5,4)
> call GW_pumping(timestep-1)
> ! print *, B_pump(2,2,2)
> call GW_SW(timestep-1)
> print *,B_RIVER (2,2,2)
> call GW_solver(timestep-1,N)
> call GW_deallocate_loop()
> end do
>
> A solution is to delete PetscInitialize()/PetscFinalize() in GW_solver_try.F90 and move it to test_main.F90, outside the do loop.
>
> diff --git a/test_main.F90 b/test_main.F90
> index b5997c55..107bd3ee 100644
> --- a/test_main.F90
> +++ b/test_main.F90
> @@ -1,5 +1,6 @@
> program test_GW
>
> +#include <petsc/finclude/petsc.h>
> use petsc
> use GW_constants
> use GW_param_by_user
> @@ -8,6 +9,9 @@ program test_GW
> implicit none
> integer :: N
> integer :: timestep
> + PetscErrorCode ierr
> +
> + call PetscInitialize(ierr)
> call GW_domain(N)
> !print *, "N=",N
> !print *, DELTAT
> @@ -37,4 +41,5 @@ program test_GW
> end do
> print *, HNEW(NCOL,3,2)
> call GW_deallocate ()
> + call PetscFinalize(ierr)
> end program test_GW
>
> With that, the MPI error will be fixed. The code could run to gw_deallocate () before abort. There are other memory errors. You can install/use valgrind to fix them. Run it with valgrind ./GW.exe and look through the output
>
>
> Thanks.
> --Junchao Zhang
>
>
> On Thu, Jan 11, 2024 at 10:49 PM Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>> wrote:
> Hello,
>
> Thank you all for your help.
>
> I have changed VecGetArray to VecGetArrayF90, and the location of destory call. but I want to make sure that VecGet ArrayF90 is to make a new array( vector) that I can use in the rest of my Fortran code?
>
> when I run it and debugged it, I got
>
> 5.2000000E-03
> 50.00000
> 10.00000
> 0.0000000E+00
> PETSC: Attaching gdb to /weka/data/lab/richey/sawsan/GW_CODE/code2024/SS_GWM/./GW.exe of pid 33065 on display :0.0 on machine sn16
> Unable to start debugger in xterm: No such file or directory
> 0.0000000E+00
> Attempting to use an MPI routine after finalizing MPICH
> srun: error: sn16: task 0: Exited with exit code 1
> [sawsan.shatanawi at login-p2n02 SS_GWM]$ gdb ./GW/exe
> GNU gdb (GDB) Red Hat Enterprise Linux 7.6.1-100.el7
> Copyright (C) 2013 Free Software Foundation, Inc.
> License GPLv3+: GNU GPL version 3 or later <https://urldefense.us/v3/__http://gnu.org/licenses/gpl.html__;!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTVguZ5eGs$ <https://urldefense.com/v3/__http://gnu.org/licenses/gpl.html__;!!JmPEgBY0HMszNaDT!o4qS1zaFLg2L8PlawWJVyYsJpnwYHuL6SIIZsmzTO98RCzbP26HwTi_0-ipCS_D2SBG0X4gtEnM13-nbzFEFKvtraKaM$>>
> This is free software: you are free to change and redistribute it.
> There is NO WARRANTY, to the extent permitted by law. Type "show copying"
> and "show warranty" for details.
> This GDB was configured as "x86_64-redhat-linux-gnu".
> For bug reporting instructions, please see:
> <https://urldefense.us/v3/__http://www.gnu.org/software/gdb/bugs/__;!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTVn6ndgxI$ <https://urldefense.com/v3/__http://www.gnu.org/software/gdb/bugs/__;!!JmPEgBY0HMszNaDT!o4qS1zaFLg2L8PlawWJVyYsJpnwYHuL6SIIZsmzTO98RCzbP26HwTi_0-ipCS_D2SBG0X4gtEnM13-nbzFEFKjO8jNfs$>>...
> ./GW/exe: No such file or directory.
> (gdb) run
> Starting program:
> No executable file specified.
> Use the "file" or "exec-file" command.
> (gdb) bt
> No stack.
> (gdb)
>
> If the highlighted line is the error, I don't know why when I write gdb , it does not show me the location of error
> The code : sshatanawi/SS_GWM (github.com) <https://urldefense.com/v3/__https://github.com/sshatanawi/SS_GWM__;!!JmPEgBY0HMszNaDT!o4qS1zaFLg2L8PlawWJVyYsJpnwYHuL6SIIZsmzTO98RCzbP26HwTi_0-ipCS_D2SBG0X4gtEnM13-nbzFEFKp8i33ur$>
>
> I really appreciate your helps
>
> Sawsan
> From: Barry Smith <bsmith at petsc.dev <mailto:bsmith at petsc.dev>>
> Sent: Wednesday, January 10, 2024 5:35 PM
> To: Junchao Zhang <junchao.zhang at gmail.com <mailto:junchao.zhang at gmail.com>>
> Cc: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>; Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>
> [EXTERNAL EMAIL]
>
>
>> On Jan 10, 2024, at 6:49 PM, Junchao Zhang <junchao.zhang at gmail.com <mailto:junchao.zhang at gmail.com>> wrote:
>>
>> Hi, Sawsan,
>> I could build your code and I also could gdb it.
>>
>> $ gdb ./GW.exe
>> ...
>> $ Thread 1 "GW.exe" received signal SIGSEGV, Segmentation fault.
>> 0x00007ffff1e6d44f in vecgetarray_ (x=0x7fffffffa718, fa=0x0, ia=0x7fffffffa75c, ierr=0x0) at /scratch/jczhang/petsc/src/vec/vec/interface/ftn-custom/zvectorf.c:257
>> 257 *ierr = VecGetArray(*x, &lx);
>> (gdb) bt
>> #0 0x00007ffff1e6d44f in vecgetarray_ (x=0x7fffffffa718, fa=0x0, ia=0x7fffffffa75c, ierr=0x0) at /scratch/jczhang/petsc/src/vec/vec/interface/ftn-custom/zvectorf.c:257
>> #1 0x000000000040b6e3 in gw_solver (t_s=1.40129846e-45, n=300) at GW_solver_try.F90:169
>> #2 0x000000000040c6a8 in test_gw () at test_main.F90:35
>>
>> ierr=0x0 caused the segfault. See https://urldefense.us/v3/__https://petsc.org/release/manualpages/Vec/VecGetArray/*vecgetarray__;Iw!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTV25yWFSQ$ <https://urldefense.com/v3/__https://petsc.org/release/manualpages/Vec/VecGetArray/*vecgetarray__;Iw!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZ9Km12jA$>, you should use VecGetArrayF90 instead.
>>
>> BTW, Barry, the code https://urldefense.us/v3/__https://github.com/sshatanawi/SS_GWM/blob/main/GW_solver_try.F90*L169__;Iw!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTVocqNAbg$ <https://urldefense.com/v3/__https://github.com/sshatanawi/SS_GWM/blob/main/GW_solver_try.F90*L169__;Iw!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZh2eAi4o$> has "call VecGetArray(temp_solution, H_vector, ierr)". I don't find petsc Fortran examples doing VecGetArray. Do we still support it?
>
> This is not the correct calling sequence for VecGetArray() from Fortran.
>
> Regardless, definitely should not be writing any new code that uses VecGetArray() from Fortran. Should use VecGetArrayF90().
>
>>
>> --Junchao Zhang
>>
>>
>> On Wed, Jan 10, 2024 at 2:38 PM Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>> wrote:
>> Hello all,
>>
>> I hope you are doing well.
>>
>> Generally, I use gdb <the name of my exe.file> to debug the code.
>> I got the attached error message.
>>
>> I have tried to add the flag -start_in_debugger in the make file, but it didn't work, so it seems I was doing it in the wrong way
>>
>> This is the link for the whole code: sshatanawi/SS_GWM (github.com) <https://urldefense.com/v3/__https://github.com/sshatanawi/SS_GWM__;!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZ1Veab3M$>
>> <https://urldefense.com/v3/__https://github.com/sshatanawi/SS_GWM__;!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZ1Veab3M$>
>> GitHub - sshatanawi/SS_GWM <https://urldefense.com/v3/__https://github.com/sshatanawi/SS_GWM__;!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZ1Veab3M$>
>> Contribute to sshatanawi/SS_GWM development by creating an account on GitHub.
>> github.com <https://urldefense.com/v3/__http://github.com/__;!!JmPEgBY0HMszNaDT!tqBApprMfYxwNz4Zvnk8coNE5AeWjA9wSdAM7QJcIIVP1z0VDsVIalo4Sew2b0fW3bZtTAbPh-h0MUsZ8rcrPiA$>
>>
>>
>> You can read the description of the code in " Model Desprciption.pdf"
>> the compiling file is makefile_f90 where you can find the linked code files
>>
>> I really appreciate your help
>>
>> Bests,
>> Sawsan
>> From: Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>
>> Sent: Friday, January 5, 2024 4:53 AM
>> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
>> Cc: Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
>> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>>
>> [EXTERNAL EMAIL]
>> This is a segv. As Matt said, you need to use a debugger for this or add print statements to narrow down the place where this happens.
>>
>> You will need to learn how to use debuggers to do your project so you might as well start now.
>>
>> If you have a machine with a GUI debugger that is easier but command line debuggers are good to learn anyway.
>>
>> I tend to run debuggers directly (eg, lldb ./a.out -- program-args ...) and use a GUI debugger (eg, Totalview or DDT) if available.
>>
>> Mark
>>
>>
>> On Wed, Dec 20, 2023 at 10:02 PM Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>> wrote:
>> Hello Matthew,
>>
>> Thank you for your help. I am sorry that I keep coming back with my error messages, but I reached a point that I don't know how to fix them, and I don't understand them easily.
>> The list of errors is getting shorter, now I am getting the attached error messages
>>
>> Thank you again,
>>
>> Sawsan
>> From: Matthew Knepley <knepley at gmail.com <mailto:knepley at gmail.com>>
>> Sent: Wednesday, December 20, 2023 6:54 PM
>> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
>> Cc: Barry Smith <bsmith at petsc.dev <mailto:bsmith at petsc.dev>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
>> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>>
>> [EXTERNAL EMAIL]
>> On Wed, Dec 20, 2023 at 9:49 PM Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>> wrote:
>> Hello Barry,
>>
>> Thank you a lot for your help, Now I am getting the attached error message.
>>
>> Do not destroy the PC from KSPGetPC()
>>
>> THanks,
>>
>> Matt
>>
>> Bests,
>> Sawsan
>> From: Barry Smith <bsmith at petsc.dev <mailto:bsmith at petsc.dev>>
>> Sent: Wednesday, December 20, 2023 6:32 PM
>> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
>> Cc: Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>; petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
>> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>>
>> [EXTERNAL EMAIL]
>>
>> Instead of
>>
>> call PCCreate(PETSC_COMM_WORLD, pc, ierr)
>> call PCSetType(pc, PCILU,ierr) ! Choose a preconditioner type (ILU)
>> call KSPSetPC(ksp, pc,ierr) ! Associate the preconditioner with the KSP solver
>>
>> do
>>
>> call KSPGetPC(ksp,pc,ierr)
>> call PCSetType(pc, PCILU,ierr)
>>
>> Do not call KSPSetUp(). It will be taken care of automatically during the solve
>>
>>
>>
>>> On Dec 20, 2023, at 8:52 PM, Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>> wrote:
>>>
>>> Hello,
>>> I don't think that I set preallocation values when I created the matrix, would you please have look at my code. It is just the petsc related part from my code.
>>> I was able to fix some of the error messages. Now I have a new set of error messages related to the KSP solver (attached)
>>>
>>> I appreciate your help
>>>
>>> Sawsan
>>> From: Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>
>>> Sent: Wednesday, December 20, 2023 6:44 AM
>>> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
>>> Cc: petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
>>> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>>>
>>> [EXTERNAL EMAIL]
>>> Did you set preallocation values when you created the matrix?
>>> Don't do that.
>>>
>>> On Wed, Dec 20, 2023 at 9:36 AM Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>> wrote:
>>> Hello,
>>>
>>> I am trying to create a sparse matrix( which is as I believe a zero matrix) then adding some nonzero elements to it over a loop, then assembling it
>>>
>>> Get Outlook for iOS <https://urldefense.com/v3/__https://aka.ms/o0ukef__;!!JmPEgBY0HMszNaDT!uUJ_jeYf45gcXDGR_PeMjhU7hbd_fKcXJPn0pM9eb-YQihKNYuXMYM9x-hglsbXsCFIwNBWgHXdetHODupsOloE$>
>>> From: Mark Adams <mfadams at lbl.gov <mailto:mfadams at lbl.gov>>
>>> Sent: Wednesday, December 20, 2023 2:48 AM
>>> To: Shatanawi, Sawsan Muhammad <sawsan.shatanawi at wsu.edu <mailto:sawsan.shatanawi at wsu.edu>>
>>> Cc: petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov> <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>>
>>> Subject: Re: [petsc-users] Help with Integrating PETSc into Fortran Groundwater Flow Simulation Code
>>>
>>> [EXTERNAL EMAIL]
>>> I am guessing that you are creating a matrix, adding to it, finalizing it ("assembly"), and then adding to it again, which is fine, but you are adding new non-zeros to the sparsity pattern.
>>> If this is what you want then you can tell the matrix to let you do that.
>>> Otherwise you have a bug.
>>>
>>> Mark
>>>
>>> On Tue, Dec 19, 2023 at 9:50 PM Shatanawi, Sawsan Muhammad via petsc-users <petsc-users at mcs.anl.gov <mailto:petsc-users at mcs.anl.gov>> wrote:
>>> Hello everyone,
>>>
>>> I hope this email finds you well.
>>>
>>> My Name is Sawsan Shatanawi, and I am currently working on developing a Fortran code for simulating groundwater flow in a 3D system. The code involves solving a nonlinear system, and I have created the matrix to be solved using the PCG solver and Picard iteration. However, when I tried to assign it as a PETSc matrix I started getting a lot of error messages.
>>>
>>> I am kindly asking if someone can help me, I would be happy to share my code with him/her.
>>>
>>> Please find the attached file contains a list of errors I have gotten
>>>
>>> Thank you in advance for your time and assistance.
>>> Best regards,
>>>
>>> Sawsan
>>>
>>>
>>> <Matrix_RHS.F90><out.txt><solver.F90>
>>
>>
>>
>> --
>> 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://urldefense.us/v3/__https://www.cse.buffalo.edu/*knepley/__;fg!!G_uCfscf7eWS!eZkBlApyezAyEBaDxGemEyUmTe87omvkv59rrf0Mq8L4bOTqEL9wynuMJ1ci9kRDOqucZBiYdGT2tRTVcuRVDQ4$ <https://urldefense.com/v3/__http://www.cse.buffalo.edu/*knepley/__;fg!!JmPEgBY0HMszNaDT!uskvAyF0pMMWDbMIexr9g4qN46V7Rea17GQdNIVG2vH_HMaX7mXgie4ZYgusmPpss_DS7H1_8vn8arGQNSkC$>
>
> <Newton_PETSc.txt>
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