[Dune] Trace-Meshes like ALBERTA "Sub-Meshes" (which are trace meshes, i.e. codim 1)

[Andreas Dedner]

Hi.
Actually I would love to have that as well. But I do not think there yet
is a "metagrid" is this type available. But perhaps somebody is working on
this?

I do not think the conformity etc. is the problem - the trace mesh would
be a
dune grid in any case. The metagrid would simply only be conforming if
the underlying
grid has some special property. But in principal there is no issue. I
guess implementing
the intersections on the tracegrid would be the main work which would have
to done.

Andreas

On 18.03.2014 22:22, Claus-Justus Heine wrote:
> Hi there,
>
> recently I have been asked whether there is some Dune facility, add on,
> project, grid stuff which has a functionality comparable to Alberta's
> "Sub-Meshes" (would better have been labeled: trace-meshes).
>
> Ok, for Alberta (1d, 2d, 3d simplex meshes with recursive bisection)
> this is "easy": there is some theoretical overhead which ensures that
> any trace-mesh (e.g. the 2d boundary mesh of a 3d triangulation) is
> auto-"magically" an admissible 2d mesh, trivially this holds also for
> the 1d trace-meshes derived from 2d surface meshes. Also, the affine
> closures generated by either refining the trace mesh are somehow
> compatible to the affine closures generated by a mere bisection of the
> trace mesh. Additionally, one can then define the respective traces of
> finite element spaces and it shows that all this works out quite nicely.
>
> Is there some Dune equivalent/something for this?
>
> Please do not point me to the dune-subgrid module, as this would be
> completely off-topic. Despite of the somewhat matching names
> dune-subgrid deals with complete other stuff. ALBERTA's sub-meshes
> define traces, whereas the subgrid module of Dune treats a selection of
> bulk-elements as a new mesh in its own right. (no offend meant, and also
> I suspect that consistent trace-meshes + trace spaces in the context of
> standard, i.e. continuous finite elements, are probably a specialty of
> certain simplicial meshes, taking the refinement algorithm into account
> as well)
>
> Asking just out of curiosity.
>
> Kind regards,
>
> Claus
>
>
>
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