Discontinuous Galerkin approximation of the Maxwell eigenproblem

被引：94
作者：
Buffa, Annalisa
Perugia, Ilaria
机构：
[1] CNR, Ist Matemat Appl & Tecnol Informat, I-27100 Pavia, Italy
[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
来源：
SIAM JOURNAL ON NUMERICAL ANALYSIS | 2006年 / 44卷 / 05期
关键词：
discontinuous Galerkin methods; Maxwell's equations; eigenvalue problems;
D O I：
10.1137/050636887
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A theoretical framework for the analysis of discontinuous Galerkin approximations of the Maxwell eigenproblem with discontinuous coefficients is presented. Necessary and sufficient conditions for a spurious-free approximation are established, and it is shown that, at least on conformal meshes, basically all the discontinuous Galerkin methods in the literature actually fit into this framework. Relations with the classical theory for conforming approximations are also discussed.
引用
收藏
页码：2198 / 2226
页数：29
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