[petsc-users] pcfieldsplit for a composite dm with multiple subfields

[Matthew Knepley]

On Thu, Aug 27, 2015 at 9:11 PM, Gideon Simpson <gideon.simpson at gmail.com>
wrote:

> HI Barry,
>
> Nope, I’m not doing any grid sequencing. Clearly that makes a lot of
> sense, to solve on a spatially coarse mesh for the field variables,
> interpolate onto the finer mesh, and then solve again.  I’m not entirely
> clear on the practical implementation
>

SNES should do this automatically using -snes_grid_sequence <k>.  If this
does not work, complain. Loudly.

   Matt

-gideon
>
> On Aug 27, 2015, at 10:02 PM, Barry Smith <bsmith at mcs.anl.gov> wrote:
>
>
>   Gideon,
>
>    Are you using grid sequencing? Simply solve on a coarse grid,
> interpolate u1 and u2 to a once refined version of the grid and use that
> plus the mu lam as initial guess for the next level. Repeat to as fine a
> grid as you want. You can use DMRefine() and DMGetInterpolation() to get
> the interpolation needed to interpolate from the coarse to finer mesh.
>
>    Then and only then you can use multigrid (with or without fieldsplit)
> to solve the linear problems for finer meshes. Once you have the grid
> sequencing working we can help you with this.
>
>   Barry
>
> On Aug 27, 2015, at 7:00 PM, Gideon Simpson <gideon.simpson at gmail.com>
> wrote:
>
> I’m working on a problem which, morally, can be posed as a system of
> coupled semi linear elliptic PDEs together with unknown nonlinear
> eigenvalue parameters, loosely, of the form
>
> -\Delta u_1 + f(u_1, u_2) = lam * u1 - mu * du2/dx
> -\Delta u_2 + g(u_1, u_2) = lam * u2 + mu * du1/dx
>
> Currently, I have it set up with a DMComposite with two sub da’s, one for
> the parameters (lam, mu), and one for the vector field (u_1, u_2) on the
> mesh.  I have had success in solving this as a fully coupled system with
> SNES + sparse direct solvers (MUMPS, SuperLU).
>
> Lately, I am finding that, when the mesh resolution gets fine enough (i.e.
>  10^6-10^8 lattice points), my SNES gets stuck with the function norm =
> O(10^{-4}),  eventually returning reason -6 (failed line search).
>
> Perhaps there is another way around the above problem, but one thing I was
> thinking of trying would be to get away from direct solvers, and I was
> hoping to use field split for this.  However, it’s a bit beyond what I’ve
> seen examples for because it has 2 types of variables: scalar parameters
> which appear globally in the system and vector valued field variables.  Any
> suggestions on how to get started?
>
> -gideon
>
>
>
>


-- 
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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