NEW ERROR ESTIMATES FOR LINEAR TRIANGLE FINITE ELEMENTS IN THE STEKLOV EIGENVALUE PROBLEM

被引：0

作者：

Bi, Hai ^{[1
]}

Yang, Yidu ^{[1
]}

Yu, Yuanyuan ^{[1
]}

Han, Jiayu ^{[1
]}

机构：

[1] Guizhou Normal Univ, Sch Math Sci, Guiyang 550001, Guizhou, Peoples R China

来源：

JOURNAL OF COMPUTATIONAL MATHEMATICS | 2018年 / 36卷 / 05期

基金：

中国国家自然科学基金;

关键词：

Steklov eigenvalue problem; Concave polygonal domain; Linear conforming finite element; Nonconforming Crouzeix-Raviart element; Error estimates; APPROXIMATION;

D O I：

10.4208/jcm.1703-m2014-0188

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the finite elements approximation for the Steklov eigenvalue problem on concave polygonal domain. We make full use of the regularity estimate and the characteristic of edge average interpolation operator of nonconforming Crouzeix-Raviart element, and prove a new and optimal error estimate in parallel to.parallel to(0,theta Omega) for the eigenfunction of linear conforming finite element and the nonconforming Crouzeix-Raviart element. Finally, we present some numerical results to support the theoretical analysis.

引用

页码：682 / 692

页数：11

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