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
Institut fur Angewandte Mathematik
7800 Freiburg, Germany
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.