[Dune] Isogeometric analysis with Dune

Christian Engwer christian.engwer at uni-muenster.de
Fri Feb 3 00:13:06 CET 2012


Hi Nina,

> currently I am working on my thesis with the goal to implement isogeometric
> analysis in Dune with Nurbs as a basis. As a start I am trying to implement
> the FEM example (6.4 on page 52 in the Grid howto) with the shape function
> algorithm defined in 3.6.1 on page 94 to 102 of "Isogeometric Analysis:
> Toward Integration of CAD and FEA" by Cottrell, Hughes, Bazilevs.
> 
> Does anybody have any experience with this topic in conjunction with Dune?
> Could you share any advice, hints, or code snippets?

I'm not aware of anybody who has worked with dune and nurbs.

> Could somebody confirm our assumption that Nurbs shape functions model in
> the dune-localfunctions module will not be compatible with PDELab?

Together with some additional code, you should be able to use any
shapefunctions defined in dune-localfunctions. In order to estimate
the amount of work, I would have to know a little bit more about the
particular properties of your nurbs approach.

Cheers
Christian




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