A Multigrid Method for Helmholtz Transmission Eigenvalue Problems

被引：68

作者：

Ji, Xia ^{[1
]}

Sun, Jiguang ^{[2
]}

Xie, Hehu ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, Inst Computat Math, LSEC,NCMIS, Beijing 100190, Peoples R China

[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 60卷 / 02期

基金：

美国国家科学基金会; 中国国家自然科学基金;

关键词：

Transmission eigenvalue; Multigrid method; Finite element method; ITERATIVE METHODS;

D O I：

10.1007/s10915-013-9794-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we analyze the convergence of a finite element method for the computation of transmission eigenvalues and corresponding eigenfunctions. Based on the obtained error estimate results, we propose a multigrid method to solve the Helmholtz transmission eigenvalue problem. This new method needs only linear computational work. Numerical results are provided to validate the efficiency of the proposed method.

引用

页码：276 / 294

页数：19

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