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.
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页码：2430 / 2448
页数：19
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