[Dune] localFiniteElement for C1

[Elisa Friebel]

Dear Dune-Developers,

I'm interested in implementing C1-Macro Elements within the Dune-Framework.

Since the global degrees of freedom correspond to derivatives, C1 
(Macro) elements do not form an affine family. Hence, the implementation 
of a Dune localFiniteElement is not sufficient.
As far as I see, in the literature are two approaches,
either the implementation of a reference element and providing data* for 
the transformation (as for example done in libmesh [1])
or direct spline evaluation depending on grid information such as 
vertices, normals etc.

Is there any already existing infrastructure in Dune suitable for one 
these approaches? Or is there anyone else currently working on similar 
features?

Thanks,

Elisa

* a sparse matrix of the size of the local dofs (derived algebraically 
once for every element)
[1]   libmesh finite element library http://libmesh.github.io/index.html