1. Polish Academy of Sciences , Systems Research Institute , Newelska 6, Warsaw, 01-447, Poland;2. Dept. of Control Engineering , Faculty of Engineering Science Osaka University , Osaka, Toyonaka, 560, Japan
Abstract:
This paper treats a multidimensional two-phase Stefan problem with variable coefficients and mixed type boundary conditions. A numerical method for solving the problem is of fixed domain type, based on a variational inequality formulation of the problem. Numerical solutions are obtained by using piecewise linear finite elements in space and finite difference in time, and by solving a strictly convex minimization problem at each time step. Some computational results are presented.