Error analysis of symmetric linear bilinear partially penalized immersed finite element methods for Helmholtz interface problems

被引：6

作者：

Guo, Ruchi ^{[1
,4
]}

Lin, Tao ^{[1
]}

Lin, Yanping ^{[2
]}

Zhuang, Qiao ^{[1
,3
]}

机构：

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

[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Peoples R China

[3] Univ Tennessee, Chattanooga, TN 37403 USA

[4] Univ Calif Irvine, Irvine, CA 92697 USA

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2021年 / 390卷

关键词：

Helmholtz type; Interface problems; Immersed finite element methods; Error estimates;

D O I：

10.1016/j.cam.2020.113378

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article presents an error analysis of the symmetric linear/bilinear partially penalized immersed finite element (PPIFE) methods for interface problems of Helmholtz equations. Under the assumption that the exact solution possesses a usual piecewise H-2 regularity, the optimal error bounds for the PPIFE solutions are derived in an energy norm and the usual L-2 norm. A numerical example is conducted to validate the theoretical conclusions. (C) 2021 Elsevier B.V. All rights reserved.

引用

页数：11

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