Discontinuous Galerkin computation of the Maxwell eigenvalues on simplicial meshes

被引：61

作者：

Buffa, Annalisa

Houston, Paul

Perugia, Ilaria

机构：

[1] CNR, Ist Matemat Applicata & Tecnol Informat, I-27100 Pavia, Italy

[2] Univ Nottingham, Sch Math Sci, Nottingham NG7 2RD, England

[3] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 204卷 / 02期

关键词：

discontinuous Galerkin methods; Maxwell's equations; discontinuous coefficients;

D O I：

10.1016/j.cam.2006.01.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with the discontinuous Galerkin approximation of the Maxwell eigenproblem. After reviewing the theory developed in [A. Buffa, I. Perugia, Discontinuous Galerkin approximation of the Maxwell eigenproblem, Technical Report 24-PV, IMATI-CNR, Pavia, Italy, 2005 (http://www.imati.cnr.it/similar to annalisa/PS/maxwell.pdf)], we present a set of numerical experiments which both validate the theory, and provide further insight regarding the practical performance of discontinuous Galerkin methods, particularly in the case when non-conforming meshes, characterized by the presence of hanging nodes, are employed. (c) 2006 Elsevier B.V. All rights reserved.

引用

页码：317 / 333

页数：17

共 23 条

[1] Discontinuous Galerkin approximation of the Laplace eigenproblem [J].