ADAPTIVE FINITE ELEMENT METHOD FOR THE MAXWELL EIGENVALUE PROBLEM

被引：9

作者：

Boffi, Daniele ^{[1
,2
]}

Gastaldi, Lucia ^{[3
]}

机构：

[1] Univ Pavia, Dipartimento Matemat F Casorati, Pavia, Italy

[2] Aalto Univ, Dept Math & Syst Anal, Helsinki, Finland

[3] Univ Brescia, DICATAM, Brescia, Italy

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2019年 / 57卷 / 01期

关键词：

edge finite elements; eigenvalue problem; Maxwell's equations; adaptive finite element method; POSTERIORI ERROR ESTIMATORS; DISCRETE COMPACTNESS; OPTIMAL CONVERGENCE; APPROXIMATION; OPTIMALITY; EQUATIONS;

D O I：

10.1137/18M1179389

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the optimal convergence of a standard adaptive scheme based on edge finite elements for the approximation of the solutions of the eigenvalue problem associated with Maxwell's equations. The proof uses the known equivalence of the problem of interest with a mixed eigenvalue problem.

引用

页码：478 / 494

页数：17

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