FINITE ELEMENT APPROXIMATION OF THE MODIFIED MAXWELL'S STEKLOFF EIGENVALUES

被引：5

作者：

Gong, Bo ^{[1
]}

Sun, Jiguang ^{[2
]}

Wu, Xinming ^{[3
]}

机构：

[1] Beijing Computat Sci Res Ctr, Beijing 100193, Peoples R China

[2] Michigan Technol Univ, Dept Math Sci, Houghton, MI 49931 USA

[3] Fudan Univ, Sch Math Sci, Shanghai Key Lab Contemporary Appl Math, Shanghai 200433, Peoples R China

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2021年 / 59卷 / 05期

基金：

中国博士后科学基金; 国家重点研发计划;

关键词：

Stekloff eigenvalue; Maxwell's equation; finite element method; tangential trace; INTEGRAL-EQUATION; REGULARITY; TRACES;

D O I：

10.1137/20M1328889

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The modified Maxwell's Stekloff eigenvalue problem arises recently from the inverse electromagnetic scattering theory for inhomogeneous media. This paper contains a rigorous analysis of both the eigenvalue problem and the associated source problem on Lipschitz polyhedra. A new finite element method is proposed to compute Stekloff eigenvalues. By applying the Babuska-Osborn theory, we prove an error estimate without additional regularity assumptions. Numerical results are presented for validation.

引用

页码：2430 / 2448

页数：19

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