[petsc-users] converting parallel matrix MATMPIJ to MATAIJ
Lukasz Kaczmarczyk
Lukasz.Kaczmarczyk at glasgow.ac.uk
Fri Sep 6 17:32:44 CDT 2013
On 6 Sep 2013, at 23:00, Barry Smith <bsmith at mcs.anl.gov> wrote:
>
> I would use MatGetRedundantMatrix()
>
>
> On Sep 6, 2013, at 4:52 PM, Matthew Knepley <knepley at gmail.com> wrote:
>
>> On Fri, Sep 6, 2013 at 4:25 PM, Lukasz Kaczmarczyk <Lukasz.Kaczmarczyk at glasgow.ac.uk> wrote:
>> Hello,
>>
>> I solve system of eq. generated by finite element method.
>>
>> I apply some projection matrix to stiffness matrix K,
>> P=I-CT[(CTC)^-1]C
>> where C is some not square matrix.
>>
>> Resulting stiffness matrix K' has form
>> K' = PT K P,
>> with that at hand I solve problem K' *x = f'
>>
>> I manage to build shell matrix where I use sub ksp solver to get solution for (CTC)*b = C*x, where [ b = (CTC^-1*C*x)] . Using penalised matrix for preconditioner, where K_prec = alpha*CCT + K, where alpha is penalty I can get solution in efficient way.
>>
>> Now I like to avoid penalty parameter, in order to do that I will need to apply penalty matrix for each individual finite element matrix before it is assembled into K. No problem with that, using scattering it can be done.
>>
>> Problem is with solution (CTC)*b = C*x, C and CTC matrices are parallel, since I have parallelised assembly functions, problem (CTC)*b = C*x need to be solved on each processor independently without communication. It is not problem, but to do that I need to transform C and CTC matrix form MATMPIAIJ to MATAIJ.
>>
>> I think this might be what you want:
>>
>> http://www.mcs.anl.gov/petsc/petsc-current/docs/manualpages/Mat/MatGetSubMatrices.html
>>
>> Thanks,
>>
>> Matt
>>
>> I know that MatConvert will not do it. I wonder it is any other way that form very beginning to assemble matrix C as a serial matrix.
>>
>> Regards,
>> Lukasz
>>
>>
>>
>>
>>
>>
>>
>> --
>> 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
>
Thanks Matt and Barry,
Sorry for taking your time, I should find that by myself.
How to use MatGetSubMatrices is clear.
I have feeling that MatGetRedundantMatrix could be more efficient. However, apologise my ignorance, I have problem with MatGetRedundantMatrix,
*) is this should be equal to number of process in the communicator group, in my case 1 since I like to use PETSC_COMM_SELF?
nsubcomm - the number of subcommunicators (= number of redundant parallel or sequential matrices)
subcomm - MPI communicator split from the communicator where mat resides in
*) it could be equal to total number of rows in MPIAIJ? What if this number is smaller, the first mlocal_red are stored in redundant matrix?
mlocal_red - number of local rows of the redundant matrix
Regards,
Lukasz
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