ON A NUMERICAL APPROACH TO STEFAN-LIKE PROBLEMS

被引：28

作者：

AMIEZ, G

GREMAUD, PA

机构：

[1] Département de Mathématiques, Ecole Polytechnique Fédérale de Lausanne, Ecublens

来源：

NUMERISCHE MATHEMATIK | 1991年 / 59卷 / 01期

关键词：

Subject classifications: AMS(MOS): 65M10; 65N05; CR:; G1.8;

D O I：

10.1007/BF01385771

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the numerical analysis of a bidimensional two-phase Stefan problem. We approximate the enthalpy formulation by C0 piecewise linear finite elements in space combined with a semi-implicit scheme in time. Under some restrictions related to the finite element mesh and to the time-step, we prove positivity, stability and convergence results. Various numerical tests are presented and discussed in order to show the accuracy of our scheme.

引用

页码：71 / 89

页数：19