I need an algorithm/implementation for anisotropic mesh generation in
higher dimensions. The algorithm should work for dimensions higher
than 3, and the mesh generated should be anisotropic. I need an
implementable algorithm and/or source code (only source code won't
work. I also need a description of the algorithm).

I found lots of references to 2D (and some 3D) algorithms (just by
searching for "anisotropic mesh" in google). But I could not find
anything for dimensions higher than 3.

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Request for Question Clarification by mathtalk-ga on 22 Feb 2004 20:21 PST

Hi, nickless2:

I'm not clear what the "anisotropic" characteristic means in this context.

The word "triangular" appears in the Subject but not the body of your
Question.  The higher dimensional term for triangle, at least in this
context, would probably be simplex (and a "mesh" would amount to a
simplicial complex).

In mesh generation one often divides the project into two phasss: 
generating an initial mesh, and refining that to the desired degree. 
There certainly is a body of applicable research on refinement
strategies in higher dimensions.  As in the lower dimensions, one
typically wants to avoid long, thin "elements".

It would also be helpful if you sketched a bit of the intended
application of these meshes.

regards, mathtalk-ga