[petsc-users] MATBDIAG in > 3.1

Barry Smith bsmith at mcs.anl.gov
Thu Dec 1 08:08:51 CST 2011


On Dec 1, 2011, at 7:05 AM, Matthew Knepley wrote:

> You can get this effect using PCBJACOBI, setting the number of local blocks, and using -sub_pc_type lu -sub_ksp_type preonly.

   Do not do this. It will give bad performance since it explicitly pulls out each block with MatGetSubMatrices() and solves each small matrix as a separate PETSc matrix.

    Instead use the BAIJ matrix format with a block size of 7 and then use a PCPBJACOBI (note the P in the name for point block, each point block is that little 7 by 7 block that it solves efficiently using a tuned kernel) with -ksp_type preonly.  This should be very fast and does not do any any neccessary scatters or communication.

    Barry

> 
>    Matt
> 
> On Thu, Dec 1, 2011 at 4:28 AM, Parker, Andrew (UK Filton) <Andrew.Parker2 at baesystems.com> wrote:
> Hi,
> 
>  
> 
> I’ve been using PETSc for a conventional full parallel implicit solver, currently in MPIBAIJ format.  However, I’d like to understand the performance verse memory and speed trade-offs of just having a block diagonal system.  In this case I do not scatter to the off diagonal blocks.  Each block is 7x7 in size and fully dense.  In my view this should be a point implicit solution of the system.  I am looking for the best way to solve this in PETSc, clearly because of the lack of coupling between neighbouring cells by only having a block diagonal it’s actually a 7x7 dense linear solve, but to test my theory at present I’d prefer to just not scatter to off diagonals, and use:
> 
>  
> 
> MATBDIAG with my current ksp solver and take it from there.  BDIAG seems to have been removed as off 3.0:
> 
>  
> 
> http://www.mcs.anl.gov/petsc/documentation/changes/300.html
> 
>  
> 
> Can anybody help me with this, your thoughts on the above and what I should use to solve this reduced system would be appreciated??
> 
> 
> Cheers,
> 
> Andy
> 
> 
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