[petsc-users] Block Jacobi for Matrix-free

[Matthew Knepley]

On Thu, Jan 7, 2016 at 7:49 AM, Timothée Nicolas <timothee.nicolas at gmail.com
> wrote:

> Hello everyone,
>
> I have discovered that I need to use Block Jacobi, rather than Jacobi, as
> a preconditioner/smoother. The linear problem I am solving at this stage
> lives in a subspace with 3 degrees of freedom, which represent the 3
> components of a 3D vector. In particular for multigrid, using BJACOBI
> instead of JACOBI as a smoother changes everything in terms of efficiency.
> I know it because I have tested with the actual matrix in matrix format for
> my problem. However, eventually, I want to be matrix free.
>
> My question is, what are the operations I need to provide for the
> matrix-free approach to accept BJACOBI ? I am confused because when I try
> to apply BJACOBI to my matrix-free operator; the code asks for
> MatGetDiagonalBlock (see error below). But MatGetDiagonalBlock, in my
> understanding, returns a uniprocessor matrix representing the diagonal part
> of the matrix on this processor (as defined in the manual). Instead, I
> would expect that what is needed is a routine which returns a 3x3 matrix at
> the grid point (that is, the block associated with this grid point,
> coupling the 3 components of the vector together). How does this work ? Do
> I simply need to code MatGetDiagonalBlock ?
>

Just like Jacobi does not request one diagonal element at a time,
Block-Jacobi does not request one diagonal block at a time. You
would need to implement that function, or write a custom block Jacobi for
this matrix.

  Thanks,

    Matt


>
> Thx
> Best
>
> Timothée
>
> [0]PETSC ERROR: --------------------- Error Message
> --------------------------------------------------------------
> [0]PETSC ERROR: No support for this operation for this object type
> [0]PETSC ERROR: Matrix type shell does not support getting diagonal block
> [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: ./miips on a arch-linux2-c-debug named Carl-9000 by
> timothee Thu Jan  7 22:41:13 2016
> [0]PETSC ERROR: Configure options --with-cc=gcc --with-cxx=g++
> --with-fc=gfortran --download-fblaslapack --download-mpich
> [0]PETSC ERROR: #1 MatGetDiagonalBlock() line 166 in
> /home/timothee/Documents/petsc-3.6.1/src/mat/interface/matrix.c
> [0]PETSC ERROR: #2 PCSetUp_BJacobi() line 126 in
> /home/timothee/Documents/petsc-3.6.1/src/ksp/pc/impls/bjacobi/bjacobi.c
> [0]PETSC ERROR: #3 PCSetUp() line 982 in
> /home/timothee/Documents/petsc-3.6.1/src/ksp/pc/interface/precon.c
> [0]PETSC ERROR: #4 KSPSetUp() line 332 in
> /home/timothee/Documents/petsc-3.6.1/src/ksp/ksp/interface/itfunc.c
> [0]PETSC ERROR: #5 KSPSolve() line 546 in
> /home/timothee/Documents/petsc-3.6.1/src/ksp/ksp/interface/itfunc.c
>



-- 
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
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