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