THE SHIFTED-INVERSE POWER WEAK GALERKIN METHOD FOR EIGENVALUE PROBLEMS

• 来源期刊: 计算数学（英文版）
• 关键词: Weak Galerkin finite element method Eigenvalue problem Shifted-inverse power method Lower bound
• 年，卷（期）: 2020,（4）
• 页码范围: 606-623
• 页数: 18页
• 语种: 英文
• DOI: 10.4208/jcm.1903-m2018-0101

摘要

This paper proposes and analyzes a new weak Galerkin method for the eigenvalue problem by using the shifted-inverse power technique.A high order lower bound can be obtained at a relatively low cost via the proposed method.The error estimates for both eigenvalue and eigenfunction are provided and asymptotic lower bounds are shown as well under some conditions.Numerical examples are presented to validate the theoretical analysis.