A residual-based a posteriori error estimator for the hp-finite element method for Maxwell's equations

被引：16

作者：

Buerg, M. ^{[1
]}

机构：

[1] Karlsruhe Inst Technol, Dept Math, D-76128 Karlsruhe, Germany

来源：

APPLIED NUMERICAL MATHEMATICS | 2012年 / 62卷 / 08期

关键词：

Residual-based error estimation; A posteriori error estimates; hp version of the finite element method; Maxwell's equations; DOMAINS;

D O I：

10.1016/j.apnum.2012.02.007

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present a residual-based a posteriori error estimator for Maxwell's equations in the electric field formulation in three space-dimensions. The error estimator is constructed in terms of the residual of the considered problem and we prove upper and lower bounds in the energy norm, which are explicit in the mesh size and the polynomial degree of the ansatz space. (C) 2012 IMACS. Published by Elsevier B.V. All rights reserved.

引用

页码：922 / 940

页数：19

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