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Sorry no one responded to this email sooner. On Mar 12, 2024, at 4: 18 AM, Marco Seiz <marco@ kit. ac. jp> wrote:
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<meta http-equiv="content-type" content="text/html; charset=utf-8"></head><body style="overflow-wrap: break-word; -webkit-nbsp-mode: space; line-break: after-white-space;"><br id="lineBreakAtBeginningOfMessage"><div><br></div><div> Sorry no one responded to this email sooner.</div><div><br><blockquote type="cite"><div>On Mar 12, 2024, at 4:18 AM, Marco Seiz <marco@kit.ac.jp> wrote:</div><br class="Apple-interchange-newline"><div><meta charset="UTF-8"><div dir="ltr" id="pfptBanner62453m5" style="color-scheme: revert !important; writing-mode: revert !important; -webkit-ruby-position: revert !important; color: revert !important; font-family: revert !important; font-feature-settings: revert !important; font-kerning: revert !important; font-optical-sizing: revert !important; font-palette: revert !important; font-size: revert !important; font-size-adjust: revert !important; font-stretch: revert !important; font-style: revert !important; font-synthesis-small-caps: revert !important; font-synthesis-style: revert !important; 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font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-family: sans-serif; white-space: pre-wrap; overflow-wrap: break-word;">Hello,
I'd like to solve a Stokes-like equation with PETSc, i.e.
div( mu * symgrad(u) ) = -grad(p) - grad(mu*q)
div(u) = q
with the spatially variable coefficients (mu, q) coming from another
application, which will advect and evolve fields via the velocity field
u from the Stokes solution, and throw back new (mu, q) to PETSc in a
loop, everything using finite difference. In preparation for this and
getting used to PETSc I wrote a simple inhomogeneous coefficient Poisson
solver, i.e.
div (mu*grad(u) = -grad(mu*q), u unknown,
based on src/ksp/ksp/tutorials/ex32.c which converges really nicely even
for mu contrasts of 10^10 using -ksp_type fgmres -pc_type mg. Since my
coefficients later on can't be calculated from coordinates, I put them
on a separate DM and attached it to the main DM via PetscObjectCompose
and used a DMCoarsenHookAdd to coarsen the DM the coefficients live on,
inspired by src/ts/tutorials/ex29.c .
Adding another uncoupled DoF was simple enough and it converged
according to -ksp_converged_reason, but the solution started looking
very weird; roughly constant for each DoF, when it should be some
function going from roughly -value to +value due to symmetry. This
doesn't happen when I use a direct solver ( -ksp_type preonly -pc_type
lu -pc_factor_mat_solver_type umfpack ) and reading the archives, I
ought to be using -pc_type fieldsplit due to the block nature of the
matrix. I did that and the solution looked sensible again.
</pre></div></blockquote><div>Hmm, this sounds like the operator has the constant null space that is accumulating in the iterative method. </div><div><br></div><div>The standard why to handle this is to use MatSetNullSpace() to provide the nullspace information so the iterative solver can remove it at each iteration.</div><br><blockquote type="cite"><div><pre style="caret-color: rgb(0, 0, 0); font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-family: sans-serif; white-space: pre-wrap; overflow-wrap: break-word;">
Now here comes the actual problem: Once I try adding multigrid
preconditioning to the split fields I get errors probably relating to
fieldsplit not "inheriting" (for lack of a better term) the associated
interpolations/added DMs and hooks on the fine DM. That is, when I use
the DMDA_Q0 interpolation, fieldsplit dies because it switches to
DMDA_Q1 and the size ratio is wrong ( Ratio between levels: (mx - 1)/(Mx
- 1) must be integer: mx 64 Mx 32 ). When I use DMDA_Q1, once the KSP
tries to setup the matrix on the coarsened problem the DM no longer has
the coefficient DMs which I previously had associated with it, i.e.
PetscCall(PetscObjectQuery((PetscObject)da, "coefficientdm",
(PetscObject *)&dm_coeff)); puts a NULL pointer in dm_coeff and PETSc
dies when trying to get a named vector from that, but it works nicely
without fieldsplit.
Is there some way to get fieldsplit to automagically "inherit" those
added parts or do I need to manually modify the DMs the fieldsplit is
using? I've been using KSPSetComputeOperators since it allows for
re-discretization without having to manage the levels myself, whereas
some more involved examples like src/dm/impls/stag/tutorials/ex4.c build
the matrices in advance when re-discretizing and set them with
KSPSetOperators, which would avoid the problem as well but also means
managing the levels.
</pre></div></blockquote><div><br></div>We don't have hooks to get your inner information automatically passed in from the outer DM but I think you can use</div><div><br></div><div>PCFieldSplitGetSubKSP() after KSPSetUp()</div><div><br></div><div> to get your two sub-KSPs, you then can set the "sub" DM to these etc to get them to "largely" behave as in your previous "uncoupled" code. </div><div>Hopefully also use <span style="font-family: sans-serif;">KSPSetOperators().</span></div><div><font face="sans-serif"><br></font></div><div><font face="sans-serif"> Barry</font></div><div><font face="sans-serif"><br></font><blockquote type="cite"><div><pre style="caret-color: rgb(0, 0, 0); font-size: 18px; font-style: normal; font-variant-caps: normal; font-weight: 400; letter-spacing: normal; text-align: start; text-indent: 0px; text-transform: none; word-spacing: 0px; -webkit-text-stroke-width: 0px; text-decoration: none; font-family: sans-serif; white-space: pre-wrap; overflow-wrap: break-word;">
Any advice concerning solving my target Stokes-like equation is welcome
as well. I am coming from a explicit timestepping background so reading
up on saddle point problems and their efficient solution is all quite
new to me.
Best regards,
Marco
</pre><br class="Apple-interchange-newline"></div></blockquote></div><br></body></html>