Preprint 1999-025

Hamilton-Jacobi Equation on a Manifold, and Applications to Mesh Generation or Refinement.

Abstract: In this paper, we consider Hamilton-Jacobi equations on a manifold, typically on the graph of some previously computed function z(x,y) and we show how the corresponding level set method allows to generate and/or to refine a mesh in regions where this function z has large derivatives. Such as it is, the method needs to be strongly improved and accelerated, but the principle is awfully natural, and the method is in principle fully automatic. Similar ideas could also be useful in image processing, in particular for the active contours method.

Paper:

Available as PostScript (1.75 Mbytes)

Author(s):

Philippe Hoch, mailto:hoch@math.unice.fr

Michel Rascle, mailto:rascle@math.unice.fr

Publishing information:

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Submitted by:

mailto:rascle@math.unice.fr September 22 1999.