Hello,

I am working on DMStag and I have one dof on vertices (let us call it V), one 
dof on edges (let us call it E), one dof on faces ((let us call it F)) and one 
dof on cells (let us call it C).

I build a matrix on this DM, and I was wondering if there was a way to get 
blocks (or sub matrices) of this matrix corresponding to specific degrees of 
freedom, for example rows corresponding to V dofs and columns corresponding to 
E dofs.

I already asked this question before and the answer I got was I could call 
PCFieldSplitSetDetectSaddlePoint with the diagonal entries being of the matrix 
being zero or nonzero.

That worked well. Nonetheless, I am curious to know if there was another 
alternative that does not require creating a dummy matrix with appropriate 
diagonal entries and solving a dummy linear system with this matrix to define 
the splits.


Many thanks.


Best regards,


Zakariae

________________________________
From: petsc-users <[email protected]> on behalf of Tang, Qi 
<[email protected]>
Sent: Sunday, April 18, 2021 11:51:59 PM
To: Patrick Sanan
Cc: [email protected]; Tang, Xianzhu
Subject: [EXTERNAL] Re: [petsc-users] Question about PCFieldSplit

Thanks a lot, Patrick. We appreciate your help.

Qi



On Apr 18, 2021, at 11:30 PM, Patrick Sanan 
<[email protected]<mailto:[email protected]>> wrote:

We have this functionality in a branch, which I'm working on cleaning up to get 
to master. It doesn't use PETScSection. Sorry about the delay!

You can only use PCFieldSplitSetDetectSaddlePoint when your diagonal entries 
being zero or non-zero defines the splits correctly.

Am 17.04.2021 um 21:09 schrieb Matthew Knepley 
<[email protected]<mailto:[email protected]>>:

On Fri, Apr 16, 2021 at 8:39 PM Jorti, Zakariae via petsc-users 
<[email protected]<mailto:[email protected]>> wrote:

Hello,


I have a DMStag grid with one dof on each edge and face center.

I want to use a PCFieldSplit preconditioner on a Jacobian matrix that I assume 
is already split but I am not sure how to determine the fields.

In the DMStag examples (ex2.c and ex3.c), the function 
PCFieldSplitSetDetectSaddlePoint is used to determine those fields based on 
zero diagonal entries. In my case, I have a Jacobian matrix that does not have 
zero diagonal entries.

Can I use that PCFieldSplitSetDetectSaddlePoint in this case?

If not, how should I do?

Should I do like this example 
(https://www.mcs.anl.gov/petsc/petsc-master/src/ksp/ksp/tutorials/ex43.c.html<https://urldefense.com/v3/__https://www.mcs.anl.gov/petsc/petsc-master/src/ksp/ksp/tutorials/ex43.c.html__;!!HXCxUKc!jbBwV2h9luOW4dtBcNh6n_W1ULQnSVeXpxl0Ef1752s4Hlef-nC2JcnksFSO3Q$>):

const PetscInt Bfields[1] = {0},Efields[1] = {1};

KSPGetPC(ksp,&pc);

PCFieldSplitSetBlockSize(pc,2);

PCFieldSplitSetFields(pc,"B",1,Bfields,Bfields); 
PCFieldSplitSetFields(pc,"E",1,Efields,Efields);

where my B unknowns are defined on face centers and E unknowns are defined on 
edge centers?

That will not work.That interface only works for colocated fields that you get 
from DMDA.

Patrick, does DMSTAG use PetscSection? Then the field split would be 
automatically calculated. If not, does it maintain the
field division so that it could be given to PCFIELDSPLIT as ISes?

  Thanks,

     Matt

One last thing, I do not know which field comes first. Is it the one defined 
for face dofs or edge dofs.


Thank you.

Best regards,


Zakariae



--
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

https://www.cse.buffalo.edu/~knepley/<https://urldefense.com/v3/__http://www.cse.buffalo.edu/*knepley/__;fg!!HXCxUKc!jbBwV2h9luOW4dtBcNh6n_W1ULQnSVeXpxl0Ef1752s4Hlef-nC2JcmGgSwfag$>


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