On Tue, 11 May 2010, Roy Stogner wrote:

> You've still got a CFDLab login, right?  Check out
> ~roystgnr/pecos/ale/doc/paper.pdf for some discussion of the problem.

Yikes - glancing at that doc again reminded me of the last remaining
problem: many of our finite element types depend on geometric
information in some way to determine shape function orientations or
even values.  That all goes to hell when the geometric information is
changing underneath you.  For some elements (e.g. HERMITE) it's
irrelevant because they don't handle distorted meshes anyway, for
others (e.g. CLOUGH, XYZ) the changes are smooth and you should
actually still get a convergent solution, but for the HIERARCHIC
elements there's a sign change when edges rotate and you can get
hosed.

This is a big enough problem that we may even want to go back to
indexing-based sign conventions in the HIERARCHICs.  We switched to
geometry-based conventions so that we could do more caching, but
getting fixed-mesh solutions slightly faster might not be worth
getting moving-mesh solutions wrong.
---
Roy

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