On Mon, 19 Oct 2009, Tim Kroeger wrote:

> Has there ever been the idea of implementing composite finite elements
> (CFE) into libMesh?  How much work would that approximately be?

There appears to be a slight overloading of the nomenclature here...
I'm used to "composite finite elements" being a synonym for
"macroelements" like the Clough-Tocher triangles, which were
practically the first thing I added to the library years ago.

But you're referring to something libMesh doesn't have.  I assume you
mean elements with subgrids, i.e. to build "handbook functions" for
discretizing problems with complex fine-scale constitutive fields?

> This is a low-priority task; I would just like to see what you guys
> think.  If CFEs would generally be welcome and you think there would
> be a sensible API for that, I'll keep that in my mind and perhaps some
> day put a student on this task.

CFEs would definitely be welcome, since they ought to be able to fit
onto the FEBase API without changing the latter too much.  The
tricky question is "how do you automatically solve the subproblem"
with them...  You'd basically have to hot swap an entire new Mesh (and
corresponding DoF numbering and algebraic discretizations) in and out
from underneath the EquationSystems.  Or you'd have to require the
user to have an FEMSystem or some other API that provides physics at a
non-global level.
---
Roy

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