A Multigrid Method for Helmholtz Transmission Eigenvalue Problems

被引：65
|
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：
中国国家自然科学基金; 美国国家科学基金会;
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.
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页码：276 / 294
页数：19
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