[dune-fem] Interpolation of discrete function over a different grid

[Claus-Justus Heine]

Hi Marco,

are both grids totally arbitrary, or are they somehow related in terms
of mesh adaptation? We had a master student here in Stuttgart which
implemented a kind of "dual mesh" overlay in order to have a version of
ASTFEM in Dune. In our case we had a refined overlay, the union of the
mesh from the previous timestep and the current mesh, and the current
mesh itself.

Cheers,

Claus

On 07.10.15 17:34, Agnese, Marco wrote:
> Hi Alastair,
> thank you.
> 
> I will try to take a look but I would prefer a solution within dune-fem module only.
> 
> Cheers,
> Marco.
> ________________________________________
> From: Radcliffe, Alastair [A.Radcliffe at warwick.ac.uk]
> Sent: Wednesday, October 07, 2015 12:45 PM
> To: Agnese, Marco
> Cc: dune-fem at dune-project.org
> Subject: Re: Interpolation of discrete function over a different grid
> 
> Maybe dune-grid-glue could help ?
> 
> http://www.dune-project.org/modules/dune-grid-glue/index.html
> 
> Alastair
> 
> ________________________________________
> From: dune-fem-bounces+a.radcliffe=warwick.ac.uk at dune-project.org <dune-fem-bounces+a.radcliffe=warwick.ac.uk at dune-project.org> on behalf of Agnese, Marco <m.agnese13 at imperial.ac.uk>
> Sent: Wednesday, October 7, 2015 12:36 PM
> To: dune-fem at dune-project.org
> Subject: [dune-fem] Interpolation of discrete function over a different grid
> 
> Hi!
> 
> I have a discrete function df1 defined over grid1 and a discrete function df2 over grid2. The domain is the same but grid1 != grid2.
> I want to interpolate df1 onto grid2 and store the value into df2. Which is the correct way to do it?
> 
> Right now I am looping trough the entities of grid2, evaluating df1 in its Lagrange points and storing the result in the correct place of df2.
> But this approach is not very general. Moreover, since the access to Lagrange points is going to be removed, it won't be possible to do this in the future so I am looking to a better solution. Any suggestions?
> 
> Thank you very much,
> cheers,
> Marco.
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-- 
Dr. Claus-Justus Heine
Institut für Angewandte Analysis und Simulation
* Numerische Mathematik für Höchstleistungsrechner
Universität Stuttgart

Fon: +49 (0) 711 - 685 65558
Fax: +49 (0) 711 - 685 65507