[petsc-users] GAMG and zero pivots follow up

Thu Nov 12 08:50:07 CST 2015

Note, I suspect the zero pivot is coming from a coarse grid.  I don't know
why no-inode fixed it.  N.B., this might not be deterministic.

If you run with -info and grep on 'GAMG' you will see the block sizes.
They should be 3 on the fine grid and the 6 on the coarse grids if you set
everything up correctly.

Mark

On Wed, Nov 11, 2015 at 1:36 PM, David Knezevic <david.knezevic at akselos.com>
wrote:

> On Wed, Nov 11, 2015 at 12:57 PM, David Knezevic <
> david.knezevic at akselos.com> wrote:
>
>> On Wed, Nov 11, 2015 at 12:24 PM, David Knezevic <
>> david.knezevic at akselos.com> wrote:
>>
>>> On Tue, Nov 10, 2015 at 10:28 PM, David Knezevic <
>>> david.knezevic at akselos.com> wrote:
>>>
>>>> On Tue, Nov 10, 2015 at 10:24 PM, Matthew Knepley <knepley at gmail.com>
>>>> wrote:
>>>>
>>>>> On Tue, Nov 10, 2015 at 9:21 PM, David Knezevic <
>>>>> david.knezevic at akselos.com> wrote:
>>>>>
>>>>>> On Tue, Nov 10, 2015 at 10:00 PM, Matthew Knepley <knepley at gmail.com>
>>>>>> wrote:
>>>>>>
>>>>>>> On Tue, Nov 10, 2015 at 8:39 PM, David Knezevic <
>>>>>>> david.knezevic at akselos.com> wrote:
>>>>>>>
>>>>>>>> I'm looking into using GAMG, so I wanted to start with a simple 3D
>>>>>>>> elasticity problem. When I first tried this, I got the following "zero
>>>>>>>> pivot" error:
>>>>>>>>
>>>>>>>>
>>>>>>>> -----------------------------------------------------------------------
>>>>>>>>
>>>>>>>> [0]PETSC ERROR: Zero pivot in LU factorization:
>>>>>>>> http://www.mcs.anl.gov/petsc/documentation/faq.html#zeropivot
>>>>>>>> [0]PETSC ERROR: Zero pivot, row 3
>>>>>>>> [0]PETSC ERROR: See
>>>>>>>> http://www.mcs.anl.gov/petsc/documentation/faq.html for trouble
>>>>>>>> shooting.
>>>>>>>> [0]PETSC ERROR: Petsc Release Version 3.6.1, Jul, 22, 2015
>>>>>>>> [0]PETSC ERROR:
>>>>>>>> /home/dknez/akselos-dev/scrbe/build/bin/fe_solver-opt_real on a
>>>>>>>> arch-linux2-c-opt named david-Lenovo by dknez Tue Nov 10 21:26:39 2015
>>>>>>>> [0]PETSC ERROR: Configure options --with-shared-libraries=1
>>>>>>>> --with-debugging=0 --download-suitesparse --download-parmetis
>>>>>>>> --download-blacs
>>>>>>>> --with-blas-lapack-dir=/opt/intel/system_studio_2015.2.050/mkl
>>>>>>>> --CXXFLAGS=-Wl,--no-as-needed --download-scalapack --download-mumps
>>>>>>>> --download-metis --download-superlu_dist
>>>>>>>> --prefix=/home/dknez/software/libmesh_install/opt_real/petsc
>>>>>>>> --download-hypre --download-ml
>>>>>>>> [0]PETSC ERROR: #1 PetscKernel_A_gets_inverse_A_5() line 48 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/mat/impls/baij/seq/dgefa5.c
>>>>>>>> [0]PETSC ERROR: #2 MatSOR_SeqAIJ_Inode() line 2808 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/mat/impls/aij/seq/inode.c
>>>>>>>> [0]PETSC ERROR: #3 MatSOR() line 3697 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/mat/interface/matrix.c
>>>>>>>> [0]PETSC ERROR: #4 PCApply_SOR() line 37 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/impls/sor/sor.c
>>>>>>>> [0]PETSC ERROR: #5 PCApply() line 482 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/interface/precon.c
>>>>>>>> [0]PETSC ERROR: #6 KSP_PCApply() line 242 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/include/petsc/private/kspimpl.h
>>>>>>>> [0]PETSC ERROR: #7 KSPInitialResidual() line 63 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/interface/itres.c
>>>>>>>> [0]PETSC ERROR: #8 KSPSolve_GMRES() line 235 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/impls/gmres/gmres.c
>>>>>>>> [0]PETSC ERROR: #9 KSPSolve() line 604 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/interface/itfunc.c
>>>>>>>> [0]PETSC ERROR: #10 KSPSolve_Chebyshev() line 381 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>> [0]PETSC ERROR: #11 KSPSolve() line 604 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/interface/itfunc.c
>>>>>>>> [0]PETSC ERROR: #12 PCMGMCycle_Private() line 19 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/impls/mg/mg.c
>>>>>>>> [0]PETSC ERROR: #13 PCMGMCycle_Private() line 48 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/impls/mg/mg.c
>>>>>>>> [0]PETSC ERROR: #14 PCApply_MG() line 338 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/impls/mg/mg.c
>>>>>>>> [0]PETSC ERROR: #15 PCApply() line 482 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/pc/interface/precon.c
>>>>>>>> [0]PETSC ERROR: #16 KSP_PCApply() line 242 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/include/petsc/private/kspimpl.h
>>>>>>>> [0]PETSC ERROR: #17 KSPSolve_CG() line 139 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/impls/cg/cg.c
>>>>>>>> [0]PETSC ERROR: #18 KSPSolve() line 604 in
>>>>>>>> /home/dknez/software/petsc-3.6.1/src/ksp/ksp/interface/itfunc.c
>>>>>>>>
>>>>>>>>
>>>>>>>> -----------------------------------------------------------------------
>>>>>>>>
>>>>>>>> I saw that there was a thread about this in September (subject:
>>>>>>>> "gamg and zero pivots"), and that the fix is to use "-mg_levels_pc_type
>>>>>>>> jacobi." When I do that, the solve succeeds (I pasted the -ksp_view at the
>>>>>>>> end of this email).
>>>>>>>>
>>>>>>>> So I have two questions about this:
>>>>>>>>
>>>>>>>> 1. Is it surprising that I hit this issue for a 3D elasticity
>>>>>>>> problem? Note that matrix assembly was done in libMesh, I can look into the
>>>>>>>> structure of the assembled matrix more carefully, if needed. Also, note
>>>>>>>> that I can solve this problem with direct solvers just fine.
>>>>>>>>
>>>>>>>
>>>>>>> Yes, this seems like a bug, but it could be some strange BC thing I
>>>>>>> do not understand.
>>>>>>>
>>>>>>
>>>>>>
>>>>>> OK, I can look into the matrix in more detail. I agree that it should
>>>>>> have a non-zero diagonal, so I'll have a look at what's happening with that.
>>>>>>
>>>>>>
>>>>>>
>>>>>>
>>>>>>> Naively, the elastic element matrix has a nonzero diagonal. I see
>>>>>>> that you are doing LU
>>>>>>> of size 5. That seems strange for 3D elasticity. Am I missing
>>>>>>> something? I would expect
>>>>>>> block size 3.
>>>>>>>
>>>>>>
>>>>>>
>>>>>> I'm not sure what is causing the LU of size 5. Is there a setting to
>>>>>> control that?
>>>>>>
>>>>>> Regarding the block size: I set the vector and matrix block size to 3
>>>>>> via VecSetBlockSize and MatSetBlockSize. I also
>>>>>> used MatNullSpaceCreateRigidBody on a vector with block size of 3, and set
>>>>>> the matrix's near nullspace using that.
>>>>>>
>>>>>
>>>>> Can you run this same example with -mat_no_inode? I think it may be a
>>>>> strange blocking that is causing this.
>>>>>
>>>>
>>>>
>>>> That works. The -ksp_view output is below.
>>>>
>>>
>>>
>>> I just wanted to follow up on this. I had a more careful look at the
>>> matrix, and confirmed that there are no zero entries on the diagonal (as
>>> expected for elasticity). The matrix is from one of libMesh's example
>>> problems: a simple cantilever model using HEX8 elements.
>>>
>>> Do you have any further thoughts about what might cause the "strange
>>> blocking" that you referred to? If there's something non-standard that
>>> libMesh is doing with the blocks, I'd be interested to look into that. I
>>> can send over the matrix if that would be helpful.
>>>
>>> Thanks,
>>> David
>>>
>>>
>> P.S. I was previously calling VecSetBlockSize and MatSetBlockSize to set
>> the block size to 3. When I don't do that, I no longer need to call
>> -mat_no_inodes. I've pasted the -ksp_view output below. Does it look like
>> that's working OK?
>>
>
>
> Sorry for the multiple messages, but I think I found the issue. libMesh
> internally sets the block size to 1 earlier on (in PetscMatrix::init()). I
> guess it'll work fine if I get it to set the block size to 3 instead, so
> I'll look into that. (libMesh has an enable-blocked-storage configure
> option that should take care of this automatically.)
>
> David
>
>
>
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