A Multilevel Correction Method for Interior Transmission Eigenvalue Problem

被引：0
|
作者：
Hehu Xie
Xinming Wu
机构：
[1] Chinese Academy of Sciences,LSEC, ICMSEC, Academy of Mathematics and System Sciences
[2] University of Chinese Academy of Sciences,School of Mathematical Sciences
[3] Fudan University,Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences
来源：
Journal of Scientific Computing | 2017年 / 72卷
关键词：
Transmission eigenvalue problem; Finite element method; Error estimates; Multilevel correction method; 65N30; 65N25; 65L15; 65B99;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we give a numerical analysis for the transmission eigenvalue problem by the finite element method. A type of multilevel correction method is proposed to solve the transmission eigenvalue problem. The multilevel correction method can transform the transmission eigenvalue solving in the finest finite element space to a sequence of linear problems and some transmission eigenvalue solving in a very low dimensional spaces. Since the main computational work is to solve the sequence of linear problems, the multilevel correction method improves the overfull efficiency of the transmission eigenvalue solving. Some numerical examples are provided to validate the theoretical results and the efficiency of the proposed numerical scheme.
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页码：586 / 604
页数：18
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