TEMA Tend. Mat. Apl. Comput., 8, No. 3 (2007), 475-484. c Uma Publica¸c˜ao da Sociedade Brasileira de Matem´atica Aplicada e Computacional. Rothe’s Method for Phase Field Problem

Abstract

In this paper, a phase-field model is considered. Analysis of a time discretization for an initial-boundary value problem for this phase-field model is presented. Convergence is proved and existence, uniqueness and regularity results are derived.