fiat team mailing list archive

["Martin Sandve Alnæs" <martinal@xxxxxxxxx>]

2008/1/24, Anders Logg <logg@xxxxxxxxx>:
> On Thu, Jan 24, 2008 at 07:57:43AM -0600, Robert Kirby wrote:
> > Well, FIAT really does simplices because they're hard.  Hexes and rectangles
> > have tensor-product bases for H(div), H(curl), and H1, so you should really be
> > doing spectral-type techniques.  See the thesis of Heintsch (sp?) at NYU for
> > some interesting work on high order H(div) and H(curl) a few years ago.  Not
> > sure if it got published, but it was very good
> >
> > I now have a user at Sandia who wants the other shapes, so I will be looking at
> > doing this, either in Python or else with straight tensor-products in C++.  Of
> > course, pyramids and prisms present wrinkles of being somewhere in-between.
>
> There has also been some interest in adding quads and hexes to the DOLFIN
> mesh library (which should not be very hard) so this might also happen
> (if someone has time to implement it).
>
> --
> Anders

As a sidenote, SyFi supports code generation for quads and hexes (at
least Lagrange elements).

-- 
Martin


> > On Jan 23, 2008 9:07 PM, Harish Narayanan <harish@xxxxxxxxxxx > wrote:
> >
> >     Greetings,
> >
> >     I understand from the documentation in FIAT that all its reference
> >     elements treat spaces as simplicial complexes. Is there an obvious
> >     difficulty in extending this to non-simplicial elements (assuming the
> >     mesh is suitably generated elsewhere)?
> >
> >     I would be curious to read some literature on this topic if someone were
> >     willing to point me to it.
> >
> >     Thanks,
> >     Harish
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> >
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