Adaptive solution of phase change problems over unstructured tetrahedral meshes

R.H. Nochetto
Department of Mathematics, University of Maryland, College Park, MD 20742, USA

C. Verdi
Dipartimento di Matematica, Universita di Milano, 20133 Milano, Italy

A. Schmidt
Institut für Angewandte Mathematik, Hermann-Herder-Str. 10, 79104 Freiburg, Germany

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Abstract:
We discuss the two main ingredients for the adaptive numerical solution of phase change problems, that is a posteriori error estimation and mesh modification in 2d and 3d via refinement and coarsening for unstructured tetrahedral meshes. We illustrate our adaptive algorithm with a number of numerical experiments.
In M.Bern, J.E.Flaherty, and M.Luskin (eds.): Grid Generation and Adaptive Algorithms, IMA VMA 113 (1999), 163-181.

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