Convergence analysis of two finite element methods for the modified Maxwell's Steklov eigenvalue problem

IF 1.9 3区数学 Q2 Mathematics

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique Pub Date : 2022-01-10 DOI:10.1051/m2an/2022001

Bo Gong

引用次数: 3

Abstract

The modified Maxwell's Steklov eigenvalue problem is a new problem arising from the study of inverse electromagnetic scattering problems. In this paper, we investigate two finite element methods for this problem and perform the convergence analysis. Moreover, the monotonic convergence of the discrete eigenvalues computed by one of the methods is analyzed.

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修正Maxwell's Steklov特征值问题两种有限元方法的收敛性分析

修正麦克斯韦斯特克洛夫特征值问题是在研究电磁逆散射问题的基础上提出的一个新问题。本文研究了这一问题的两种有限元方法，并进行了收敛性分析。此外，还分析了其中一种方法计算的离散特征值的单调收敛性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Esaim-Mathematical Modelling and Numerical Analysis-Modelisation Mathematique et Analyse Numerique 数学-应用数学

CiteScore

2.70

自引率

5.30%

发文量

审稿时长

6-12 weeks

期刊介绍： M2AN publishes original research papers of high scientific quality in two areas: Mathematical Modelling, and Numerical Analysis. Mathematical Modelling comprises the development and study of a mathematical formulation of a problem. Numerical Analysis comprises the formulation and study of a numerical approximation or solution approach to a mathematically formulated problem. Papers should be of interest to researchers and practitioners that value both rigorous theoretical analysis and solid evidence of computational relevance.