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

• 来源期刊: 计算数学（英文版）
• 关键词: Steklov eigenvalue problem Concave polygonal domain Linear conforming finite element Nonconforming Crouzeix-Raviart element Error estimates
• 年，卷（期）: 2018,（5）
• 页码范围: 682-692
• 页数: 11页
• 语种: 英文
• DOI: 10.4208/jcm.1703-m2014-0188

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 CrouzeixRaviart element,and prove a new and optimal error estimate in ｜｜· ｜｜0,(e)Ω 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.