Numerical Methods for Free Boundary Problems

Invited lectures.- A mathematical model and an existence theory for non-isothermal phase separation.- The approximate solvability of the inverse one phase Stefan problem.- Stability of Thermocapillary Convection in Float-Zone Crystal Growth.- Numerical solution of coupled Navier-Stokes and Stefan equations.- Contributed papers.- On approximation of the inverse one-phase Stefan problem.- Front-Tracking and Variational Methods to Approximate Interfaces with Prescribed Mean Curvature.- Mixed elements and a two-phase free-boundary problem in magnetostatics.- Numerical solutions of two phase continuous casting problem.- Numerical analysis of capillary free boundaries governed by the Navier-Stokes equations.- Optimal design for transonic flows.- Penalties and Mixed Finite Element Analysis for Variational Inequalities.- The nonuniqueness in a model for phase transitions in binary alloys.- On the behaviour of mushy region in a Stefan problem.- Optimal control of hemivariational inequalities. Approximation results.- A thermodynamical model of ferromagnetism and its numerical simulation.- Computational stability of an initially radial solution of a growth/dissolution problem in a nonradial implementation.- Shape Optimization for Multi-Phase Stefan Problems.- Semi-analytical investigation of unsteady free-boundary flows.- On the convergence of solutions in problems of optimal control of variational inequality of the fourth-order.- A fixed-grid finite element method for solidification.- Domain decomposition method to realize implicit mesh schemes for some singular parabolic equations.- A mathematical model of a two-phase region in thawing soil.- An axisymmetric analysis of thermal effects during cementation of femoral prostheses.- Front Tracking of Free Boundaries with Curvature Terms.- Mixed variational approach for shape optimization in contact problem with prescribed friction.- Nonsmooth Penalty Techniques in Control of the Continuous Casting Process.- Optimal control for