A new multigrid finite element method for the transmission eigenvalue problems

被引：20
|
作者：
Han, Jiayu [1 ]
Yang, Yidu [1 ]
Bi, Hai [1 ]
机构：
[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 292卷
基金：
中国国家自然科学基金;
关键词：
Transmission eigenvalues; Multigrid method; Nonsymmetric eigenvalue problems; EXISTENCE; DISCRETIZATIONS; SCHEME;
D O I：
10.1016/j.amc.2016.07.022
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Numerical methods for the transmission eigenvalue problems are hot topics in recent years. Based on the work of Lin and Xie (2015), we build a multigrid method to solve the problems. With our method, we only need to solve a series of primal and dual eigenvalue problems on a coarse mesh and the associated boundary value problems on the finer and finer meshes. Theoretical analysis and numerical results show that our method is simple and easy to implement and is efficient for computing real and complex transmission eigenvalues. (C) 2016 Elsevier Inc. All rights reserved.
引用
收藏
页码：96 / 106
页数：11
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