Robust a posteriori error estimation for the Maxwell equations

被引：20

作者：

Cochez-Dhondt, Sarah ^{[1
]}

Nicaise, Serge ^{[1
]}

机构：

[1] Univ Valenciennes & Hainaut Cambresis, MACS, Inst Sci & Tech Valenciennes, F-59313 Valenciennes 9, France

来源：

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING | 2007年 / 196卷 / 25-28期

关键词：

error estimator; edge elements; Maxwell equations;

D O I：

10.1016/j.cma.2006.11.025

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We consider a robust a posteriori error estimator of residual type for the Maxwell equations in a bounded two (and three) dimensional domain. The continuous problem is approximated using conforming approximated spaces. The main goal is to express the lower and upper bounds with respect to appropriate norms. For that purpose, a new interpolant of Clement/Nedelec type is introduced and some interpolation error estimates are proved. Numerical tests are presented which confirm our theoretical results. (C) 2007 Elsevier B.V. All rights reserved.

引用

页码：2583 / 2595

页数：13

共 50 条

[1] A posteriori error estimates for Maxwell equations
Schoeberl, Joachim
[J]. MATHEMATICS OF COMPUTATION, 2008, 77 (262) : 633 - 649
[2] A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes
Nicaise, S
Creusé, E
[J]. CALCOLO, 2003, 40 (04) : 249 - 271
[3] A posteriori error estimation for the heterogeneous Maxwell equations on isotropic and anisotropic meshes
S. Nicaise
E. Creusé
[J]. CALCOLO, 2003, 40 : 249 - 271
[4] Implicit a posteriori error estimates for the Maxwell equations
Izsak, Ferenc
Harutyunyan, Davit
Van der Vegt, Jaap J. W.
[J]. MATHEMATICS OF COMPUTATION, 2008, 77 (263) : 1355 - 1386
[5] A posteriori error indicators for Maxwell's equations
Monk, P
[J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1998, 100 (02) : 173 - 190
[6] ROBUST A POSTERIORI ERROR ESTIMATION FOR PARAMETER-DEPENDENT LINEAR ELASTICITY EQUATIONS
Khan, Arbaz
Bespalov, Alex
Powell, Catherine E.
Silvester, David J.
[J]. MATHEMATICS OF COMPUTATION, 2021, 90 (328) : 613 - 636
[7] Functional Type A Posteriori Error Estimates for Maxwell's Equations
Hannukainen, A.
[J]. NUMERICAL MATHEMATICS AND ADVANCED APPLICATIONS, 2008, : 41 - 48
[8] A posteriori error estimation for partial differential equations
Dobronets, BS
[J]. SCIENTIFIC COMPUTING AND VALIDATED NUMERICS, 1996, 90 : 239 - 244
[9] Posteriori Error Estimation for an Interior Penalty Discontinuous Galerkin Method for Maxwell's Equations in Cold Plasma
Li, Jichun
[J]. ADVANCES IN APPLIED MATHEMATICS AND MECHANICS, 2009, 1 (01) : 107 - 124
[10] A posteriori error estimation for Navier-Stokes equations
Elakkad, A.
Guessous, N.
Elkhalfi, A.
[J]. NEW ASPECTS OF FLUID MECHANICS, HEAT TRANSFER AND ENVIRONMENT, 2010, : 50 - 60

← 1 2 3 4 5 →