Energy norm a posteriori error estimation for mixed discontinuous Galerkin approximations of the Maxwell operator

被引：51

作者：

Houston, P ^{[1
]}

Perugia, I

Schötzau, D

机构：

[1] Univ Leicester, Dept Math, Leicester LE1 7RH, Leics, England

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

[3] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2005年 / 194卷 / 2-5期

关键词：

discontinuous Galerkin methods; a posteriori error estimation; mixed methods; Maxwell operator;

D O I：

10.1016/j.cma.2004.02.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper we develop the a posteriori error estimation of mixed discontinuous Galerkin finite element approximations of the Maxwell operator. In particular, by employing suitable Helmholtz decompositions of the error, together with the conservation properties of the underlying method, computable upper bounds on the error, measured in terms of a natural (mesh-dependent) energy norm, are derived. Numerical experiments testing the performance of our a posteriori error bounds for problems with both smooth and singular analytical solutions are presented. (C) 2004 Elsevier B.V. All rights reserved.

引用

页码：499 / 510

页数：12

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