We report on a general purpose method for the scalar Stefan problem inspired by the standard boundary updating method used in several existence proofs. By suitably modifying it we can solve numerically any kind of Stefan problem. We present a theoretical justification of the method and several computational results.
翻译:我们报告Stefan问题的一个通用方法,这个方法受到若干存在证据中所使用的标准边界更新方法的启发。通过适当修改它,我们可以从数字上解决任何类型的Stefan问题。我们从理论上解释了该方法的理由和若干计算结果。