[petsc-users] GAMG speed

Michele Rosso mrosso at uci.edu
Tue Aug 13 21:22:08 CDT 2013


Barry,
thank you for your input.
I may consider to do so in the future. I have to keep the 2D 
decomposition though since I need to perform FFT for spectral analysis 
as well as turbulent initialization
and I am not aware of any library that does that in a 3D decomposition 
framework (only 2D).

Michele

On 08/13/2013 06:53 PM, Barry Smith wrote:
>     GAMG would actually also do better with the proper decomposition.
>
>     How about leaving the rest of the code with the silly decomposition and doing the Poisson solve using the better decomposition. The time you save in the Poisson solve will be more than the time needed to move the solution data back and forth between the bad decomposition and the good one.
>
>     Barry
>
> On Aug 13, 2013, at 8:48 PM, Michele Rosso <mrosso at uci.edu> wrote:
>
>> Barry,
>>
>> the reason is that the decomposition was already implemented and change it would be a mess :-)
>>
>> Michele
>> On 08/13/2013 06:43 PM, Barry Smith wrote:
>>>    Michele,
>>>
>>>      Why do you want to use only a 2d parallel decomposition? For big problems a 3d decomposition is better.  You should be able to use geometric multigrid with several levels and it should be very fast.
>>>
>>>
>>>     Barry
>>>
>>> On Aug 13, 2013, at 6:09 PM, Michele Rosso
>>> <mrosso at uci.edu>
>>>   wrote:
>>>
>>>
>>>> Hi Karli,
>>>>
>>>> thank you for your hint: now it works.
>>>> Now I would like to speed up the solution: I was counting on increasing the number of levels/the number of processors used, but now I see I cannot do that.
>>>> Do you have any hint to achieve better speed?
>>>> Thanks!
>>>>
>>>> Best,
>>>> Michele
>>>>
>>>> On 08/13/2013 01:33 PM, Karl Rupp wrote:
>>>>
>>>>> Hi Michele,
>>>>>
>>>>> I suggest you try a different decomposition of your grid. With k levels, you should have at least 2^{k-1} grid nodes per coordinate direction in order to be able to correctly build a coarser mesh. In your case, you should have at least 8 nodes (leading to coarser levels of size 4, 2, and 1) in z direction.
>>>>>
>>>>> Best regards,
>>>>> Karli
>>>>>
>>>>>
>>>>> On 08/13/2013 02:28 PM, Michele Rosso wrote:
>>>>>
>>>>>> Hi Barry,
>>>>>>
>>>>>> I was finally able to try multigrid with a singular system and a finer grid.
>>>>>> GAMG works perfectly and has no problem in handling the singular system.
>>>>>> On the other hand, MG is giving me problem:
>>>>>>
>>>>>> [0]PETSC ERROR: --------------------- Error Message
>>>>>> ------------------------------------
>>>>>> [0]PETSC ERROR: Argument out of range!
>>>>>> [0]PETSC ERROR: Partition in x direction is too fine! 32 64!
>>>>>> [0]PETSC ERROR:
>>>>>> ------------------------------------------------------------------------
>>>>>> [0]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>> [0]PETSC ERROR: See docs/index.html for manual pages.
>>>>>> [0]PETSC ERROR:
>>>>>> ------------------------------------------------------------------------
>>>>>> [0]PETSC ERROR: ./hit on a arch-cray-xt5-pkgs-opt named nid01332 by
>>>>>> Unknown Tue Aug 13 15:06:21 2013
>>>>>> [0]PETSC ERROR: Libraries linked from
>>>>>> /nics/c/home/mrosso/LIBS/petsc-3.4.2/arch-cray-xt5-pkgs-opt/lib
>>>>>> [0]PETSC ERROR: Configure run at Wed Jul 31 22:48:06 2013
>>>>>>
>>>>>> The input I used is:
>>>>>> -ksp_monitor -ksp_converged_reason -pc_type mg  -pc_mg_galerkin
>>>>>> -pc_mg_levels 4 -options_left
>>>>>>
>>>>>> I am simulating a 256^3 grid with 256 processors. Since I am using a 2D
>>>>>> domain decomposition, each sub-domain contains 256x64x4 grid points.
>>>>>> To be consistent with my code indexing, I had to initialize DMDA with
>>>>>> reverse ordering, that is z,y,x, so when the error message says "x is
>>>>>> too fine" it actually means "z is too fine".
>>>>>> I was wondering what is the minimum number of nodes per direction that
>>>>>> would avoid this problem and how the number of levels is related to
>>>>>> minimum grid size required.
>>>>>> Thank you!
>>>>>>
>>>>>> Michele
>>>>>>
>>>>>>
>>>>>> On 08/02/2013 03:11 PM, Barry Smith wrote:
>>>>>>
>>>>>>> On Aug 2, 2013, at 4:52 PM, Michele Rosso<mrosso at uci.edu>
>>>>>>>    wrote:
>>>>>>>
>>>>>>>
>>>>>>>> Barry,
>>>>>>>>
>>>>>>>> thank you very much for your help. I was trying to debug the error with no success!
>>>>>>>> Now it works like a charm for me too!
>>>>>>>> I have still two questions for you:
>>>>>>>>
>>>>>>>> 1) How did you choose the number of levels to use: trial and error?
>>>>>>>>
>>>>>>>      I just used 2 because it is more than one level :-).  When you use a finer mesh you can use more levels.
>>>>>>>
>>>>>>>
>>>>>>>> 2) For a singular system (periodic), besides the nullspace removal, should I change any parameter?
>>>>>>>>
>>>>>>>      I don't know of anything.
>>>>>>>
>>>>>>>      But there is a possible problem with -pc_mg_galerkin, PETSc does not transfer the null space information from the fine mesh to the other meshes and technically we really want the multigrid to remove the null space on all the levels but usually it will work without worrying about that.
>>>>>>>
>>>>>>>      Barry
>>>>>>>
>>>>>>>
>>>>>>>> Again, thank you very much!
>>>>>>>>
>>>>>>>> Michele
>>>>>>>>
>>>>>>>> On 08/02/2013 02:38 PM, Barry Smith wrote:
>>>>>>>>
>>>>>>>>>      Finally got it. My failing memory. I had to add the line
>>>>>>>>>
>>>>>>>>>      call KSPSetDMActive(ksp,PETSC_FALSE,ierr)
>>>>>>>>>
>>>>>>>>>      immediately after KSPSetDM()   and
>>>>>>>>>
>>>>>>>>>      change
>>>>>>>>>
>>>>>>>>>       call DMCreateMatrix(da,MATMPIAIJ,A,ierr)
>>>>>>>>>
>>>>>>>>>      to
>>>>>>>>>
>>>>>>>>>       call DMCreateMatrix(da,MATAIJ,A,ierr)
>>>>>>>>>
>>>>>>>>>       so it will work in both parallel and sequential then
>>>>>>>>>
>>>>>>>>> ksp_monitor -ksp_converged_reason -pc_type mg -ksp_view  -pc_mg_galerkin -pc_mg_levels 2
>>>>>>>>>
>>>>>>>>> works great with 2 levels.
>>>>>>>>>
>>>>>>>>>      Barry
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>> On Aug 1, 2013, at 6:29 PM, Michele Rosso
>>>>>>>>>
>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>   
>>>>>>>>>    wrote:
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>
>>>>>>>>>> Barry,
>>>>>>>>>>
>>>>>>>>>> no problem. I attached the full code in test_poisson_solver.tar.gz.
>>>>>>>>>> My test code is a very reduced version of my productive code (incompressible DNS code) thus fftw3 and the library 2decomp&fft are needed to run it.
>>>>>>>>>> I attached the 2decomp&fft version I used: it is a matter of minutes to install it, so you should not have any problem.
>>>>>>>>>> Please, contact me for any question/suggestion.
>>>>>>>>>> I the mean time I will try to debug it.
>>>>>>>>>>
>>>>>>>>>> Michele
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>> On 08/01/2013 04:19 PM, Barry Smith wrote:
>>>>>>>>>>
>>>>>>>>>>
>>>>>>>>>>>      Run on one process until this is debugged. You can try the option
>>>>>>>>>>>
>>>>>>>>>>> -start_in_debugger noxterm
>>>>>>>>>>>
>>>>>>>>>>> and then call VecView(vec,0) in the debugger when it gives the error below. It seems like some objects are not getting their initial values set properly. Are you able to email the code so we can run it and figure out what is going on?
>>>>>>>>>>>
>>>>>>>>>>>      Barry
>>>>>>>>>>>
>>>>>>>>>>> On Aug 1, 2013, at 5:52 PM, Michele Rosso
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>   
>>>>>>>>>>>
>>>>>>>>>>>    wrote:
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>
>>>>>>>>>>>> Barry,
>>>>>>>>>>>>
>>>>>>>>>>>> I checked the matrix: the element (0,0) is not zero, nor any other diagonal element is.
>>>>>>>>>>>> The matrix is symmetric positive define (i.e. the standard Poisson matrix).
>>>>>>>>>>>> Also, -da_refine is never used (see previous output).
>>>>>>>>>>>> I tried to run with -pc_type mg -pc_mg_galerkin -mg_levels_pc_type jacobi -mg_levels_ksp_type chebyshev -mg_levels_ksp_chebyshev_estimate_eigenvalues  -ksp_view -options_left
>>>>>>>>>>>>
>>>>>>>>>>>> and now the error is different:
>>>>>>>>>>>> 0]PETSC ERROR: [1]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>> [1]PETSC ERROR: Floating point exception!
>>>>>>>>>>>> [1]PETSC ERROR: Vec entry at local location 0 is not-a-number or infinite at beginning of function: Parameter number 2!
>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [1]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>> [1]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>> [1]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>> [2]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>> [2]PETSC ERROR: Floating point exception!
>>>>>>>>>>>> [2]PETSC ERROR: Vec entry at local location 0 is not-a-number or infinite at beginning of function: Parameter number 2!
>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [2]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>> [2]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>> [2]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>> [2]PETSC ERROR: [3]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>> [3]PETSC ERROR: Floating point exception!
>>>>>>>>>>>> [3]PETSC ERROR: Vec entry at local location 0 is not-a-number or infinite at beginning of function: Parameter number 2!
>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [3]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>> [3]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>> [3]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>> [3]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [1]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [1]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 15:43:16 2013
>>>>>>>>>>>> [1]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>> [1]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [2]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 15:43:16 2013
>>>>>>>>>>>> [2]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>> [2]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>> [2]PETSC ERROR: [3]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 15:43:16 2013
>>>>>>>>>>>> [3]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>> [3]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>> [3]PETSC ERROR: Configure options
>>>>>>>>>>>> Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>> [1]PETSC ERROR: Configure options
>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [1]PETSC ERROR: VecValidValues() line 28 in src/vec/vec/interface/rvector.c
>>>>>>>>>>>> Configure options
>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [2]PETSC ERROR: VecValidValues() line 28 in src/vec/vec/interface/rvector.c
>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [3]PETSC ERROR: VecValidValues() line 28 in src/vec/vec/interface/rvector.c
>>>>>>>>>>>> [3]PETSC ERROR: [1]PETSC ERROR: MatMult() line 2174 in src/mat/interface/matrix.c
>>>>>>>>>>>> [1]PETSC ERROR: [2]PETSC ERROR: MatMult() line 2174 in src/mat/interface/matrix.c
>>>>>>>>>>>> [2]PETSC ERROR: KSP_MatMult() line 204 in src/ksp/ksp/impls/cheby//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> MatMult() line 2174 in src/mat/interface/matrix.c
>>>>>>>>>>>> [3]PETSC ERROR: KSP_MatMult() line 204 in src/ksp/ksp/impls/cheby//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [3]PETSC ERROR: KSP_MatMult() line 204 in src/ksp/ksp/impls/cheby//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve_Chebyshev() line 504 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve_Chebyshev() line 504 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve_Chebyshev() line 504 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> [2]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [3]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [1]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [2]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [2]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>> [3]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [3]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>> [1]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>> [1]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [2]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [2]PETSC ERROR: [3]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> --------------------- Error Message ------------------------------------
>>>>>>>>>>>> [0]PETSC ERROR: Floating point exception!
>>>>>>>>>>>> [0]PETSC ERROR: Vec entry at local location 0 is not-a-number or infinite at beginning of function: Parameter number 2!
>>>>>>>>>>>> [0]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [0]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>> [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>> [0]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>> [0]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [0]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 15:43:16 2013
>>>>>>>>>>>> [0]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>> [0]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>> [0]PETSC ERROR: Configure options
>>>>>>>>>>>> [0]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>> [0]PETSC ERROR: VecValidValues() line 28 in src/vec/vec/interface/rvector.c
>>>>>>>>>>>> [0]PETSC ERROR: MatMult() line 2174 in src/mat/interface/matrix.c
>>>>>>>>>>>> [0]PETSC ERROR: KSP_MatMult() line 204 in src/ksp/ksp/impls/cheby//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve_Chebyshev() line 504 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>> [0]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [0]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>> [0]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>> [0]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>
>>>>>>>>>>>> #PETSc Option Table entries:
>>>>>>>>>>>> -ksp_view
>>>>>>>>>>>> -mg_levels_ksp_chebyshev_estimate_eigenvalues
>>>>>>>>>>>> -mg_levels_ksp_type chebyshev
>>>>>>>>>>>> -mg_levels_pc_type jacobi
>>>>>>>>>>>> -options_left
>>>>>>>>>>>> -pc_mg_galerkin
>>>>>>>>>>>> -pc_type mg
>>>>>>>>>>>> #End of PETSc Option Table entries
>>>>>>>>>>>> There are no unused options.
>>>>>>>>>>>>
>>>>>>>>>>>> Michele
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>> On 08/01/2013 03:27 PM, Barry Smith wrote:
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>
>>>>>>>>>>>>>     Do a MatView() on A before the solve (remove the -da_refine 4) so it is small. Is the 0,0 entry 0? If the matrix has zero on the diagonals you cannot us Gauss-Seidel as the smoother.  You can start with -mg_levels_pc_type jacobi -mg_levels_ksp_type chebychev -mg_levels_ksp_chebyshev_estimate_eigenvalues
>>>>>>>>>>>>>
>>>>>>>>>>>>>      Is the matrix a Stokes-like matrix? If so then different preconditioners are in order.
>>>>>>>>>>>>>
>>>>>>>>>>>>>      Barry
>>>>>>>>>>>>>
>>>>>>>>>>>>> On Aug 1, 2013, at 5:21 PM, Michele Rosso
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>>>   
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>    wrote:
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>
>>>>>>>>>>>>>> Barry,
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> here it is the fraction of code where I set the rhs term and the matrix.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>          ! Create matrix
>>>>>>>>>>>>>>          call form_matrix( A , qrho, lsf, head )
>>>>>>>>>>>>>>          call MatAssemblyBegin(A,MAT_FINAL_ASSEMBLY,ierr)
>>>>>>>>>>>>>>          call MatAssemblyEnd(A,MAT_FINAL_ASSEMBLY,ierr)
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>          ! Create rhs term
>>>>>>>>>>>>>>          call form_rhs(work, qrho, lsf, b , head)
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>          ! Solve system
>>>>>>>>>>>>>>          call KSPSetFromOptions(ksp,ierr)
>>>>>>>>>>>>>>          call KSPSetUp(ksp,ierr)
>>>>>>>>>>>>>>          call KSPSolve(ksp,b,x,ierr)
>>>>>>>>>>>>>>          call KSPGetIterationNumber(ksp, iiter ,ierr)
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> The subroutine form_matrix returns the Mat object A that is filled by using  MatSetValuesStencil.
>>>>>>>>>>>>>> qrho, lsf and head are additional arguments that are needed to compute the matrix value.
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> Michele
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>> On 08/01/2013 03:11 PM, Barry Smith wrote:
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>     Where are you putting the values into the matrix? It seems the matrix has no values in it? The code is stopping because in the Gauss-Seidel smoothing it has detected zero diagonals.
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>      Barry
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> On Aug 1, 2013, at 4:47 PM, Michele Rosso
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>>>>>   
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>    wrote:
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Barry,
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> I run with :   -pc_type mg -pc_mg_galerkin -da_refine 4  -ksp_view -options_left
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> For the test I use a 64^3 grid and 4 processors.
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> The output is:
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> [2]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: Arguments are incompatible!
>>>>>>>>>>>>>>>> [2]PETSC ERROR: Zero diagonal on row 0!
>>>>>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>>>>>> [2]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>>>>>> [2]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>>>>>> [2]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 14:44:04 2013
>>>>>>>>>>>>>>>> [0]PETSC ERROR: [2]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>>>>>> [2]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>>>>>> [2]PETSC ERROR: Configure options
>>>>>>>>>>>>>>>> [2]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: MatInvertDiagonal_SeqAIJ() line 1457 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: MatSOR_SeqAIJ() line 1489 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> --------------------- Error Message ------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: MatSOR_MPIAIJ() line 1623 in src/mat/impls/aij/mpi/mpiaij.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: MatSOR() line 3649 in src/mat/interface/matrix.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: [0]PETSC ERROR: PCApply_SOR() line 35 in src/ksp/pc/impls/sor/sor.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/interface//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> Arguments are incompatible!
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPInitialResidual() line 64 in src/ksp/ksp/interface/itres.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve_GMRES() line 239 in src/ksp/ksp/impls/gmres/gmres.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: [0]PETSC ERROR: KSPSolve_Chebyshev() line 409 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> Zero diagonal on row 0!
>>>>>>>>>>>>>>>> [2]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [2]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: [2]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>>>>>> ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [2]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>>>>>> [0]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>>>>>> [3]PETSC ERROR: [0]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>>>>>> [0]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>>>>>> [3]PETSC ERROR: Arguments are incompatible!
>>>>>>>>>>>>>>>> [3]PETSC ERROR: Zero diagonal on row 0!
>>>>>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [3]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>>>>>> [3]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>>>>>> [3]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>>>>>> [3]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> See docs/index.html for manual pages.
>>>>>>>>>>>>>>>> [3]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 14:44:04 2013
>>>>>>>>>>>>>>>> [3]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>>>>>> [1]PETSC ERROR: [3]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>>>>>> [3]PETSC ERROR: Configure options
>>>>>>>>>>>>>>>> [3]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [3]PETSC ERROR: --------------------- Error Message ------------------------------------
>>>>>>>>>>>>>>>> MatInvertDiagonal_SeqAIJ() line 1457 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: MatSOR_SeqAIJ() line 1489 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: [0]PETSC ERROR: MatSOR_MPIAIJ() line 1623 in src/mat/impls/aij/mpi/mpiaij.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Arguments are incompatible!
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Zero diagonal on row 0!
>>>>>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Petsc Release Version 3.4.2, Jul, 02, 2013
>>>>>>>>>>>>>>>> [1]PETSC ERROR: See docs/changes/index.html for recent updates.
>>>>>>>>>>>>>>>> [1]PETSC ERROR: See docs/faq.html for hints about trouble shooting.
>>>>>>>>>>>>>>>> [1]PETSC ERROR: See docs/index.html for manual pages.
>>>>>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [1]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 14:44:04 2013
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>>>>>> [1]PETSC ERROR: Configure options
>>>>>>>>>>>>>>>> [1]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [1]PETSC ERROR: MatInvertDiagonal_SeqAIJ() line 1457 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: [3]PETSC ERROR: MatSOR() line 3649 in src/mat/interface/matrix.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: PCApply_SOR() line 35 in src/ksp/pc/impls/sor/sor.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/interface//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPInitialResidual() line 64 in src/ksp/ksp/interface/itres.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve_GMRES() line 239 in src/ksp/ksp/impls/gmres/gmres.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve_Chebyshev() line 409 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>>>>>> [3]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> MatSOR_SeqAIJ() line 1489 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: MatSOR_MPIAIJ() line 1623 in src/mat/impls/aij/mpi/mpiaij.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: MatSOR() line 3649 in src/mat/interface/matrix.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: PCApply_SOR() line 35 in src/ksp/pc/impls/sor/sor.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/interface//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPInitialResidual() line 64 in src/ksp/ksp/interface/itres.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve_GMRES() line 239 in src/ksp/ksp/impls/gmres/gmres.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve_Chebyshev() line 409 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>>>>>> [1]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [0]PETSC ERROR: ./test on a linux-gnu-dbg named enterprise-A by mic Thu Aug  1 14:44:04 2013
>>>>>>>>>>>>>>>> [0]PETSC ERROR: Libraries linked from /opt/petsc/petsc-3.4.2/linux-gnu-dbg/lib
>>>>>>>>>>>>>>>> [0]PETSC ERROR: Configure run at Thu Aug  1 12:01:44 2013
>>>>>>>>>>>>>>>> [0]PETSC ERROR: Configure options
>>>>>>>>>>>>>>>> [0]PETSC ERROR: ------------------------------------------------------------------------
>>>>>>>>>>>>>>>> [0]PETSC ERROR: MatInvertDiagonal_SeqAIJ() line 1457 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: MatSOR_SeqAIJ() line 1489 in src/mat/impls/aij/seq/aij.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: MatSOR_MPIAIJ() line 1623 in src/mat/impls/aij/mpi/mpiaij.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: MatSOR() line 3649 in src/mat/interface/matrix.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: PCApply_SOR() line 35 in src/ksp/pc/impls/sor/sor.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/interface//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPInitialResidual() line 64 in src/ksp/ksp/interface/itres.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve_GMRES() line 239 in src/ksp/ksp/impls/gmres/gmres.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve_Chebyshev() line 409 in src/ksp/ksp/impls/cheby/cheby.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: PCMGMCycle_Private() line 19 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: PCApply_MG() line 330 in src/ksp/pc/impls/mg/mg.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: PCApply() line 442 in src/ksp/pc/interface/precon.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSP_PCApply() line 227 in src/ksp/ksp/impls/cg//opt/petsc/petsc-3.4.2/include/petsc-private/kspimpl.h
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve_CG() line 175 in src/ksp/ksp/impls/cg/cg.c
>>>>>>>>>>>>>>>> [0]PETSC ERROR: KSPSolve() line 441 in src/ksp/ksp/interface/itfunc.c
>>>>>>>>>>>>>>>> #PETSc Option Table entries:
>>>>>>>>>>>>>>>> -da_refine 4
>>>>>>>>>>>>>>>> -ksp_view
>>>>>>>>>>>>>>>> -options_left
>>>>>>>>>>>>>>>> -pc_mg_galerkin
>>>>>>>>>>>>>>>> -pc_type mg
>>>>>>>>>>>>>>>> #End of PETSc Option Table entries
>>>>>>>>>>>>>>>> There is one unused database option. It is:
>>>>>>>>>>>>>>>> Option left: name:-da_refine value: 4
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Here is the code I use to setup DMDA and KSP:
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>       call DMDACreate3d( PETSC_COMM_WORLD ,                                  &
>>>>>>>>>>>>>>>>                       & DMDA_BOUNDARY_PERIODIC , DMDA_BOUNDARY_PERIODIC,     &
>>>>>>>>>>>>>>>>                       & DMDA_BOUNDARY_PERIODIC , DMDA_STENCIL_STAR,          &
>>>>>>>>>>>>>>>>                       & N_Z , N_Y , N_X , N_B3 , N_B2 , 1_ip,  1_ip , 1_ip , &
>>>>>>>>>>>>>>>>                       & int(NNZ,ip) ,int(NNY,ip) , NNX, da , ierr)
>>>>>>>>>>>>>>>>            ! Create Global Vectors
>>>>>>>>>>>>>>>>       call DMCreateGlobalVector(da,b,ierr)
>>>>>>>>>>>>>>>>       call VecDuplicate(b,x,ierr)
>>>>>>>>>>>>>>>>            ! Set initial guess for first use of the module to 0
>>>>>>>>>>>>>>>>       call VecSet(x,0.0_rp,ierr)
>>>>>>>>>>>>>>>>            ! Create matrix
>>>>>>>>>>>>>>>>       call DMCreateMatrix(da,MATMPIAIJ,A,ierr)
>>>>>>>>>>>>>>>>             ! Create solver
>>>>>>>>>>>>>>>>       call KSPCreate(PETSC_COMM_WORLD,ksp,ierr)
>>>>>>>>>>>>>>>>       call KSPSetDM(ksp,da,ierr)
>>>>>>>>>>>>>>>>       call KSPSetOperators(ksp,A,A,DIFFERENT_NONZERO_PATTERN,ierr)
>>>>>>>>>>>>>>>> !    call KSPSetOperators(ksp,A,A,SAME_NONZERO_PATTERN,ierr)
>>>>>>>>>>>>>>>>       call KSPSetType(ksp,KSPCG,ierr)
>>>>>>>>>>>>>>>>       call KSPSetNormType(ksp,KSP_NORM_UNPRECONDITIONED,ierr) ! Real residual
>>>>>>>>>>>>>>>>       call KSPSetInitialGuessNonzero(ksp,PETSC_TRUE,ierr)
>>>>>>>>>>>>>>>>       call KSPSetTolerances(ksp, tol ,PETSC_DEFAULT_DOUBLE_PRECISION,&
>>>>>>>>>>>>>>>>           & PETSC_DEFAULT_DOUBLE_PRECISION,PETSC_DEFAULT_INTEGER,ierr)
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>       ! To allow using option from command line
>>>>>>>>>>>>>>>>       call KSPSetFromOptions(ksp,ierr)
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> Michele
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>> On 08/01/2013 01:04 PM, Barry Smith wrote:
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>      You can use the option -pc_mg_galerkin  and then MG will compute the coarser matrices with a sparse matrix matrix matrix product so you should not need to change your code to try it out.  You still need to use the KSPSetDM() and -da_refine n to get it working
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>      If it doesn't work, send us all the output.
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>      Barry
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> On Aug 1, 2013, at 2:47 PM, Michele Rosso
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>>>>>>>   
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>    wrote:
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>> Barry,
>>>>>>>>>>>>>>>>>> you are correct, I did not use it. I think I get now where is the problem. Correct me if I am wrong, but for the
>>>>>>>>>>>>>>>>>> geometric multigrid to work, ksp must be provided with subroutines to compute the matrix and the rhs at any level through
>>>>>>>>>>>>>>>>>> KSPSetComputeOperators and KSPSetComputeRHS.
>>>>>>>>>>>>>>>>>> I do not do that, I simply build a rhs vector and a matrix and then I solve the system.
>>>>>>>>>>>>>>>>>> If you confirm what I just wrote, I will try to modify my code accordingly and get back to you.
>>>>>>>>>>>>>>>>>> Thank you,
>>>>>>>>>>>>>>>>>> Michele
>>>>>>>>>>>>>>>>>>    On 08/01/2013 11:48 AM, Barry Smith wrote:
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>     Do you use KSPSetDM(ksp,da);  ?  See src/ksp/ksp/examples/tutorials/ex19.c
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>      Barry
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> On Aug 1, 2013, at 1:35 PM, Michele Rosso
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>>>>>>>>>   
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>    wrote:
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> Barry,
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> I am using a finite difference Cartesian uniform grid and DMDA and so far it has not given me any problem.
>>>>>>>>>>>>>>>>>>>> I am using a ksp solver (not snes). In a previous thread, I was told an odd number of grid points was needed for the geometric multigrid, is that correct?
>>>>>>>>>>>>>>>>>>>> I tried to run my case with
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> -pc_type mg -da_refine 4
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> but it does not seem to use the -da_refine option:
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> mpiexec   -np 4 ./test  -pc_type mg -da_refine 4  -ksp_view -options_left
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> KSP Object: 4 MPI processes
>>>>>>>>>>>>>>>>>>>>    type: cg
>>>>>>>>>>>>>>>>>>>>    maximum iterations=10000
>>>>>>>>>>>>>>>>>>>>    tolerances:  relative=1e-08, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>    left preconditioning
>>>>>>>>>>>>>>>>>>>>    using nonzero initial guess
>>>>>>>>>>>>>>>>>>>>    using UNPRECONDITIONED norm type for convergence test
>>>>>>>>>>>>>>>>>>>> PC Object: 4 MPI processes
>>>>>>>>>>>>>>>>>>>>    type: mg
>>>>>>>>>>>>>>>>>>>>      MG: type is MULTIPLICATIVE, levels=1 cycles=v
>>>>>>>>>>>>>>>>>>>>        Cycles per PCApply=1
>>>>>>>>>>>>>>>>>>>>        Not using Galerkin computed coarse grid matrices
>>>>>>>>>>>>>>>>>>>>    Coarse grid solver -- level -------------------------------
>>>>>>>>>>>>>>>>>>>>      KSP Object:    (mg_levels_0_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>        type: chebyshev
>>>>>>>>>>>>>>>>>>>>          Chebyshev: eigenvalue estimates:  min = 0.134543, max = 1.47998
>>>>>>>>>>>>>>>>>>>>          Chebyshev: estimated using:  [0 0.1; 0 1.1]
>>>>>>>>>>>>>>>>>>>>          KSP Object:        (mg_levels_0_est_)         4 MPI processes
>>>>>>>>>>>>>>>>>>>>            type: gmres
>>>>>>>>>>>>>>>>>>>>              GMRES: restart=30, using Classical (unmodified) Gram-Schmidt Orthogonalization with no iterative refinement
>>>>>>>>>>>>>>>>>>>>              GMRES: happy breakdown tolerance 1e-30
>>>>>>>>>>>>>>>>>>>>            maximum iterations=10, initial guess is zero
>>>>>>>>>>>>>>>>>>>>            tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>            left preconditioning
>>>>>>>>>>>>>>>>>>>>            using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>          PC Object:        (mg_levels_0_)         4 MPI processes
>>>>>>>>>>>>>>>>>>>>            type: sor
>>>>>>>>>>>>>>>>>>>>              SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
>>>>>>>>>>>>>>>>>>>>            linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>            Matrix Object:           4 MPI processes
>>>>>>>>>>>>>>>>>>>>              type: mpiaij
>>>>>>>>>>>>>>>>>>>>              rows=262144, cols=262144
>>>>>>>>>>>>>>>>>>>>              total: nonzeros=1835008, allocated nonzeros=1835008
>>>>>>>>>>>>>>>>>>>>              total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>        maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>        tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>        left preconditioning
>>>>>>>>>>>>>>>>>>>>        using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>      PC Object:    (mg_levels_0_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>        type: sor
>>>>>>>>>>>>>>>>>>>>          SOR: type = local_symmetric, iterations = 1, local iterations = 1, omega = 1
>>>>>>>>>>>>>>>>>>>>        linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>        Matrix Object:       4 MPI processes
>>>>>>>>>>>>>>>>>>>>          type: mpiaij
>>>>>>>>>>>>>>>>>>>>          rows=262144, cols=262144
>>>>>>>>>>>>>>>>>>>>          total: nonzeros=1835008, allocated nonzeros=1835008
>>>>>>>>>>>>>>>>>>>>          total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>    linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>    Matrix Object:   4 MPI processes
>>>>>>>>>>>>>>>>>>>>      type: mpiaij
>>>>>>>>>>>>>>>>>>>>      rows=262144, cols=262144
>>>>>>>>>>>>>>>>>>>>      total: nonzeros=1835008, allocated nonzeros=1835008
>>>>>>>>>>>>>>>>>>>>      total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>> Solution       =    1.53600013     sec
>>>>>>>>>>>>>>>>>>>> #PETSc Option Table entries:
>>>>>>>>>>>>>>>>>>>> -da_refine 4
>>>>>>>>>>>>>>>>>>>> -ksp_view
>>>>>>>>>>>>>>>>>>>> -options_left
>>>>>>>>>>>>>>>>>>>> -pc_type mg
>>>>>>>>>>>>>>>>>>>> #End of PETSc Option Table entries
>>>>>>>>>>>>>>>>>>>> There is one unused database option. It is:
>>>>>>>>>>>>>>>>>>>> Option left: name:-da_refine value: 4
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> Michele
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>> On 08/01/2013 11:21 AM, Barry Smith wrote:
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>      What kind of mesh are you using? Are you using DMDA? If you are using DMDA (and have written your code to use it "correctly") then it should be trivial to run with geometric multigrid and geometric multigrid should be a bit faster.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>      For example on src/snes/examples/tutorials/ex19.c   I run with ./ex19 -pc_type mg -da_refine 4 and it refines the original DMDA 4 times and uses geometric multigrid with 5 levels.
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>      Barry
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> On Aug 1, 2013, at 1:14 PM, Michele Rosso
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>> <mrosso at uci.edu>
>>>>>>>>>>>>>>>>>>>>>   
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>    wrote:
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> Hi,
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> I am successfully using PETSc (v3.4.2)  to solve a 3D Poisson's equation with CG + GAMG as I was suggested to do in a previous thread.
>>>>>>>>>>>>>>>>>>>>>> So far I am using GAMG with the default settings, i.e.
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> -pc_type gamg -pc_gamg_agg_nsmooths 1
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> The speed of the solution is satisfactory, but I would like to know if you have any suggestions to further speed it up, particularly
>>>>>>>>>>>>>>>>>>>>>> if there is any parameters worth looking into to achieve an even faster solution, for example number of levels and so on.
>>>>>>>>>>>>>>>>>>>>>> So far I am using Dirichlet's BCs for my test case, but I will soon have periodic conditions: in this case, does GAMG require particular settings?
>>>>>>>>>>>>>>>>>>>>>> Finally, I did not try geometric multigrid: do you think it is worth a shot?
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> Here are my current settings:
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> I run with
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> -pc_type gamg -pc_gamg_agg_nsmooths 1 -ksp_view -options_left
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> and the output is:
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> KSP Object: 4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>     type: cg
>>>>>>>>>>>>>>>>>>>>>>     maximum iterations=10000
>>>>>>>>>>>>>>>>>>>>>>     tolerances:  relative=1e-08, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>     left preconditioning
>>>>>>>>>>>>>>>>>>>>>>     using nonzero initial guess
>>>>>>>>>>>>>>>>>>>>>>     using UNPRECONDITIONED norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>> PC Object: 4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>     type: gamg
>>>>>>>>>>>>>>>>>>>>>>       MG: type is MULTIPLICATIVE, levels=3 cycles=v
>>>>>>>>>>>>>>>>>>>>>>         Cycles per PCApply=1
>>>>>>>>>>>>>>>>>>>>>>         Using Galerkin computed coarse grid matrices
>>>>>>>>>>>>>>>>>>>>>>     Coarse grid solver -- level -------------------------------
>>>>>>>>>>>>>>>>>>>>>>       KSP Object:    (mg_coarse_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: preonly
>>>>>>>>>>>>>>>>>>>>>>         maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>>>         tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>         left preconditioning
>>>>>>>>>>>>>>>>>>>>>>         using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>       PC Object:    (mg_coarse_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: bjacobi
>>>>>>>>>>>>>>>>>>>>>>           block Jacobi: number of blocks = 4
>>>>>>>>>>>>>>>>>>>>>>           Local solve info for each block is in the following KSP and PC objects:
>>>>>>>>>>>>>>>>>>>>>>         [0] number of local blocks = 1, first local block number = 0
>>>>>>>>>>>>>>>>>>>>>>                   [0] local block number 0
>>>>>>>>>>>>>>>>>>>>>> KSP Object:          (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: preonly
>>>>>>>>>>>>>>>>>>>>>>             maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>>>                   tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>> KSP Object:        (mg_coarse_sub_)            left preconditioning
>>>>>>>>>>>>>>>>>>>>>>             using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>             PC Object:        (mg_coarse_sub_)       1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: preonly
>>>>>>>>>>>>>>>>>>>>>>            1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: lu
>>>>>>>>>>>>>>>>>>>>>>             maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>>>             tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>             LU: out-of-place factorization
>>>>>>>>>>>>>>>>>>>>>>               left preconditioning
>>>>>>>>>>>>>>>>>>>>>>             using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>             PC Object:        (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: lu
>>>>>>>>>>>>>>>>>>>>>>             tolerance for zero pivot 2.22045e-14
>>>>>>>>>>>>>>>>>>>>>>               using diagonal shift on blocks to prevent zero pivot
>>>>>>>>>>>>>>>>>>>>>>               matrix ordering: nd
>>>>>>>>>>>>>>>>>>>>>>               LU: out-of-place factorization
>>>>>>>>>>>>>>>>>>>>>>               tolerance for zero pivot 2.22045e-14
>>>>>>>>>>>>>>>>>>>>>>               using diagonal shift on blocks to prevent zero pivot
>>>>>>>>>>>>>>>>>>>>>>               matrix ordering: nd
>>>>>>>>>>>>>>>>>>>>>>               factor fill ratio given 5, needed 0
>>>>>>>>>>>>>>>>>>>>>>                 Factored matrix follows:
>>>>>>>>>>>>>>>>>>>>>>               factor fill ratio given 5, needed 4.13207
>>>>>>>>>>>>>>>>>>>>>>                 Factored matrix follows:
>>>>>>>>>>>>>>>>>>>>>>                     Matrix Object:              Matrix Object:                 1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>                     type: seqaij
>>>>>>>>>>>>>>>>>>>>>>                       rows=395, cols=395
>>>>>>>>>>>>>>>>>>>>>>                       package used to perform factorization: petsc
>>>>>>>>>>>>>>>>>>>>>>                     total: nonzeros=132379, allocated nonzeros=132379
>>>>>>>>>>>>>>>>>>>>>>                     total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                           not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>              1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>                     type: seqaij
>>>>>>>>>>>>>>>>>>>>>>             linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>                       rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>                       package used to perform factorization: petsc
>>>>>>>>>>>>>>>>>>>>>>                     total: nonzeros=1, allocated nonzeros=1
>>>>>>>>>>>>>>>>>>>>>>                       total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                         not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>                 linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>     Matrix Object:             1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>               type: seqaij
>>>>>>>>>>>>>>>>>>>>>>             Matrix Object:KSP Object:           1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>               type: seqaij
>>>>>>>>>>>>>>>>>>>>>>               rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>               total: nonzeros=0, allocated nonzeros=0
>>>>>>>>>>>>>>>>>>>>>>               total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                   not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>             rows=395, cols=395
>>>>>>>>>>>>>>>>>>>>>>               total: nonzeros=32037, allocated nonzeros=32037
>>>>>>>>>>>>>>>>>>>>>>               total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                 not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>             - - - - - - - - - - - - - - - - - -
>>>>>>>>>>>>>>>>>>>>>>             KSP Object:        (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: preonly
>>>>>>>>>>>>>>>>>>>>>>             maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>>>             tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>             left preconditioning
>>>>>>>>>>>>>>>>>>>>>>             using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>           PC Object:        (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: lu
>>>>>>>>>>>>>>>>>>>>>>               LU: out-of-place factorization
>>>>>>>>>>>>>>>>>>>>>>               tolerance for zero pivot 2.22045e-14
>>>>>>>>>>>>>>>>>>>>>>               using diagonal shift on blocks to prevent zero pivot
>>>>>>>>>>>>>>>>>>>>>>               matrix ordering: nd
>>>>>>>>>>>>>>>>>>>>>>               factor fill ratio given 5, needed 0
>>>>>>>>>>>>>>>>>>>>>>                 Factored matrix follows:
>>>>>>>>>>>>>>>>>>>>>>                   Matrix Object:                 1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>                     type: seqaij
>>>>>>>>>>>>>>>>>>>>>>                     rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>                     package used to perform factorization: petsc
>>>>>>>>>>>>>>>>>>>>>>                     total: nonzeros=1, allocated nonzeros=1
>>>>>>>>>>>>>>>>>>>>>>                     total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                       not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>             linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>             Matrix Object:           1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>               type: seqaij
>>>>>>>>>>>>>>>>>>>>>>               rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>               total: nonzeros=0, allocated nonzeros=0
>>>>>>>>>>>>>>>>>>>>>>               total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                 not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>     (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: preonly
>>>>>>>>>>>>>>>>>>>>>>             maximum iterations=1, initial guess is zero
>>>>>>>>>>>>>>>>>>>>>>             tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>             left preconditioning
>>>>>>>>>>>>>>>>>>>>>>             using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>           PC Object:        (mg_coarse_sub_)         1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>             type: lu
>>>>>>>>>>>>>>>>>>>>>>               LU: out-of-place factorization
>>>>>>>>>>>>>>>>>>>>>>               tolerance for zero pivot 2.22045e-14
>>>>>>>>>>>>>>>>>>>>>>               using diagonal shift on blocks to prevent zero pivot
>>>>>>>>>>>>>>>>>>>>>>               matrix ordering: nd
>>>>>>>>>>>>>>>>>>>>>>               factor fill ratio given 5, needed 0
>>>>>>>>>>>>>>>>>>>>>>                 Factored matrix follows:
>>>>>>>>>>>>>>>>>>>>>>                   Matrix Object:                 1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>                     type: seqaij
>>>>>>>>>>>>>>>>>>>>>>                     rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>                     package used to perform factorization: petsc
>>>>>>>>>>>>>>>>>>>>>>                     total: nonzeros=1, allocated nonzeros=1
>>>>>>>>>>>>>>>>>>>>>>                     total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                       not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>             linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>             Matrix Object:           1 MPI processes
>>>>>>>>>>>>>>>>>>>>>>               type: seqaij
>>>>>>>>>>>>>>>>>>>>>>               rows=0, cols=0
>>>>>>>>>>>>>>>>>>>>>>               total: nonzeros=0, allocated nonzeros=0
>>>>>>>>>>>>>>>>>>>>>>               total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>                 not using I-node routines
>>>>>>>>>>>>>>>>>>>>>>         [1] number of local blocks = 1, first local block number = 1
>>>>>>>>>>>>>>>>>>>>>>           [1] local block number 0
>>>>>>>>>>>>>>>>>>>>>>           - - - - - - - - - - - - - - - - - -
>>>>>>>>>>>>>>>>>>>>>>         [2] number of local blocks = 1, first local block number = 2
>>>>>>>>>>>>>>>>>>>>>>           [2] local block number 0
>>>>>>>>>>>>>>>>>>>>>>           - - - - - - - - - - - - - - - - - -
>>>>>>>>>>>>>>>>>>>>>>         [3] number of local blocks = 1, first local block number = 3
>>>>>>>>>>>>>>>>>>>>>>           [3] local block number 0
>>>>>>>>>>>>>>>>>>>>>>           - - - - - - - - - - - - - - - - - -
>>>>>>>>>>>>>>>>>>>>>>         linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>         Matrix Object:       4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>           type: mpiaij
>>>>>>>>>>>>>>>>>>>>>>           rows=395, cols=395
>>>>>>>>>>>>>>>>>>>>>>           total: nonzeros=32037, allocated nonzeros=32037
>>>>>>>>>>>>>>>>>>>>>>           total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>             not using I-node (on process 0) routines
>>>>>>>>>>>>>>>>>>>>>>     Down solver (pre-smoother) on level 1 -------------------------------
>>>>>>>>>>>>>>>>>>>>>>       KSP Object:    (mg_levels_1_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: chebyshev
>>>>>>>>>>>>>>>>>>>>>>           Chebyshev: eigenvalue estimates:  min = 0.0636225, max = 1.33607
>>>>>>>>>>>>>>>>>>>>>>         maximum iterations=2
>>>>>>>>>>>>>>>>>>>>>>         tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>         left preconditioning
>>>>>>>>>>>>>>>>>>>>>>         using nonzero initial guess
>>>>>>>>>>>>>>>>>>>>>>         using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>       PC Object:    (mg_levels_1_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: jacobi
>>>>>>>>>>>>>>>>>>>>>>         linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>         Matrix Object:       4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>           type: mpiaij
>>>>>>>>>>>>>>>>>>>>>>           rows=23918, cols=23918
>>>>>>>>>>>>>>>>>>>>>>           total: nonzeros=818732, allocated nonzeros=818732
>>>>>>>>>>>>>>>>>>>>>>           total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>             not using I-node (on process 0) routines
>>>>>>>>>>>>>>>>>>>>>>     Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>>>>>>>>>>>>>>>     Down solver (pre-smoother) on level 2 -------------------------------
>>>>>>>>>>>>>>>>>>>>>>       KSP Object:    (mg_levels_2_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: chebyshev
>>>>>>>>>>>>>>>>>>>>>>           Chebyshev: eigenvalue estimates:  min = 0.0971369, max = 2.03987
>>>>>>>>>>>>>>>>>>>>>>         maximum iterations=2
>>>>>>>>>>>>>>>>>>>>>>         tolerances:  relative=1e-05, absolute=1e-50, divergence=10000
>>>>>>>>>>>>>>>>>>>>>>         left preconditioning
>>>>>>>>>>>>>>>>>>>>>>         using nonzero initial guess
>>>>>>>>>>>>>>>>>>>>>>         using NONE norm type for convergence test
>>>>>>>>>>>>>>>>>>>>>>       PC Object:    (mg_levels_2_)     4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>         type: jacobi
>>>>>>>>>>>>>>>>>>>>>>         linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>         Matrix Object:       4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>           type: mpiaij
>>>>>>>>>>>>>>>>>>>>>>           rows=262144, cols=262144
>>>>>>>>>>>>>>>>>>>>>>           total: nonzeros=1835008, allocated nonzeros=1835008
>>>>>>>>>>>>>>>>>>>>>>           total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>>     Up solver (post-smoother) same as down solver (pre-smoother)
>>>>>>>>>>>>>>>>>>>>>>     linear system matrix = precond matrix:
>>>>>>>>>>>>>>>>>>>>>>     Matrix Object:   4 MPI processes
>>>>>>>>>>>>>>>>>>>>>>       type: mpiaij
>>>>>>>>>>>>>>>>>>>>>>       rows=262144, cols=262144
>>>>>>>>>>>>>>>>>>>>>>       total: nonzeros=1835008, allocated nonzeros=1835008
>>>>>>>>>>>>>>>>>>>>>>       total number of mallocs used during MatSetValues calls =0
>>>>>>>>>>>>>>>>>>>>>> #PETSc Option Table entries:
>>>>>>>>>>>>>>>>>>>>>> -ksp_view
>>>>>>>>>>>>>>>>>>>>>> -options_left
>>>>>>>>>>>>>>>>>>>>>> -pc_gamg_agg_nsmooths 1
>>>>>>>>>>>>>>>>>>>>>> -pc_type gamg
>>>>>>>>>>>>>>>>>>>>>> #End of PETSc Option Table entries
>>>>>>>>>>>>>>>>>>>>>> There are no unused options.
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>> Thank you,
>>>>>>>>>>>>>>>>>>>>>> Michele
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>>>>>>>>>>>>>>
>>>>>>>>>> <test_poisson_solver.tar.gz><2decomp_fft-1.5.847-modified.tar.gz>
>>>>>>>>>>
>>>>>>>>>>
>

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