Partially Penalized Immersed Finite Element Methods for Parabolic Interface Problems

被引：44

作者：

Lin, Tao ^{[1
]}

Yang, Qing ^{[2
]}

Zhang, Xu ^{[3
]}

机构：

[1] Virginia Tech, Dept Math, Blacksburg, VA 24061 USA

[2] Shandong Normal Univ, Sch Math Sci, Jinan 250014, Peoples R China

[3] Purdue Univ, Dept Math, W Lafayette, IN 47907 USA

来源：

NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2015年 / 31卷 / 06期

基金：

美国国家科学基金会;

关键词：

Cartesian mesh methods; error estimation; parabolic interface problems; partially penalized immersed finite element; APPROXIMATION CAPABILITY; MOVING INTERFACE; EQUATIONS; SPACE; FORMULATION;

D O I：

10.1002/num.21973

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present partially penalized immersed finite element methods for solving parabolic interface problems on Cartesian meshes. Typical semidiscrete and fully discrete schemes are discussed. Error estimates in an energy norm are derived. Numerical examples are provided to support theoretical analysis. (C) 2015 Wiley Periodicals, Inc.

引用

页码：1925 / 1947

页数：23

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