Adaptive solution of phase changes over unstructured tetrahedral meshes

Grid Generation and Adaptive Algorithms, Minneapolis, April 1997, IMA Series, Springer.

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

Alfred Schmidt
Institut fur Angewandte Mathematik
Universitat Freiburg
7800 Freiburg, Germany

Claudio Verdi
Dipartimento di Matematica
Universita di Milano
Milano, 20133, Italy


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.