[Hedge] Curvy Elements

[Andreas Klöckner]

Hi Xueyu, all,

I just took a closer look at gmsh [1], by Christophe Geuzaine and J-F Remacle. 
This closer look has led me to believe that instead of (or perhaps in addition 
to) a node-pushing approach to creating curved elements, we should probably 
create a facility for importing high-order meshes from gmsh. In contrast to 
the mesh generators we have at present, gmsh appears to support genuine high-
order mesh generation by allowing a curvilinear description of the domain, and 
then spitting out curved elements conforming to this domain description. Its 
description language is a bit bizarre, but actually quite flexible.

This work would start by building a two-way interface from MeshPy to gmsh, 
allowing mesh specification from and import into Python, and then progress 
towards making the necessary changes to hedge.

As a further benefit, gmsh interoperates natively with Madlib [2], which could 
allow us to do high-order mesh adaptation relatively cheaply.

[1] http://geuz.org/gmsh/
[2] http://sites.uclouvain.be/madlib/

Andreas
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