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<div style="direction: ltr;font-family: Tahoma;color: #000000;font-size: 10pt;">Hi,
<br>
<div><br>
<div style="font-family:Tahoma; font-size:13px">to complete my previous answer, we are dealing with 2D conforming meshes, from which 1D conforming meshes originate.<br>
You traverse the intersections and select the ones on the portion of the interface you need; the coupling between the two grids (if you need boundary integrals where functions from both grids are involved) reduces to a vector where you store the correspondence
between the global indices of corners in the 2D and 1D grids, respectively.<br>
<br>
Cheers,<br>
Andrea<br>
__________________________________________________________<br>
<br>
Andrea Sacconi<br>
PhD student, Applied Mathematics<br>
AMMP Section, Department of Mathematics, Imperial College London,<br>
London SW7 2AZ, UK<br>
a.sacconi11@imperial.ac.uk<br>
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<div style="direction: ltr;" id="divRpF724823"><font color="#000000" face="Tahoma" size="2"><b>From:</b> dune-bounces+a.sacconi11=imperial.ac.uk@dune-project.org [dune-bounces+a.sacconi11=imperial.ac.uk@dune-project.org] on behalf of Andreas Dedner [a.s.dedner@warwick.ac.uk]<br>
<b>Sent:</b> 18 March 2014 21:28<br>
<b>To:</b> dune@dune-project.org<br>
<b>Subject:</b> Re: [Dune] Trace-Meshes like ALBERTA "Sub-Meshes" (which are trace meshes, i.e. codim 1)<br>
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<div>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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