Nonconforming Finite Element Method for the Transmission Eigenvalue Problem

被引：18
|
作者：
Ji, Xia [1 ]
Xi, Yingxia [1 ]
Xie, Hehu [1 ]
机构：
[1] Chinese Acad Sci, Inst Computat Math, Acad Math & Syst Sci, LSEC,NCMIS, Beijing 100190, Peoples R China
来源：
ADVANCES IN APPLIED MATHEMATICS AND MECHANICS | 2017年 / 9卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Transmission eigenvalue; Morley element; nonconforming finite element method;
D O I：
10.4208/aamm.2015.m1295
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we analyze a nonconforming finite element method for the computation of transmission eigenvalues and the corresponding eigenfunctions. The error estimates of the eigenvalue and eigenfunction approximation are given, respectively. Finally, some numerical examples are provided to validate the theoretical results.
引用
收藏
页码：92 / 103
页数：12
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