> I was wondering if the anistropic polynomials can be used with the
> discontinuous galerkin method?

There is currently no easy-to-use support for this. It's not going to work for 
continuous elements because we assume that fe.dofs_per_face is the same for 
all faces. 

It may be possible to make this work for discontinuous elements, though. What 
you would have to do is define a bunch of different elements with anisotropic 
shape functions and select which element to use on which cells, using the 
hp::DoFHandler to deal with using different elements on different cells. The 
part that's missing is to implement elements with anisotropic shape functions. 
I imagine that this wouldn't be too complicated to do since the element is 
discontinuous, but someone would have to implement it.

That said, you can do anisotropic *refinement*, which of course also 
introduces a kind of anisotropic approximation of your finite element space.

Best
 W.

-------------------------------------------------------------------------
Wolfgang Bangerth                email:            [email protected]
                                 www: http://www.math.tamu.edu/~bangerth/
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