Interior penalty discontinuous Galerkin method for Maxwell's equations:: Energy norm error estimates

被引：66
作者：
Grote, Marcus J.
Schneebeli, Anna
Schotzau, Dorninik
机构：
[1] Univ Basel, Dept Math, CH-4051 Basel, Switzerland
[2] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2007年 / 204卷 / 02期
基金：
加拿大自然科学与工程研究理事会;
关键词：
discontinuous Galerkin methods; Maxwell equations; a priori error analysis;
D O I：
10.1016/j.cam.2006.01.044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We develop the symmetric interior penalty discontinuous Galerkin (DG) method for the time-dependent Maxwell equations in second-order form. We derive optimal a priori error estimates in the energy norm for smooth solutions. We also consider the case of low-regularity solutions that have singularities in space. (c) 2006 Elsevier B.V. All rights reserved.
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页码：375 / 386
页数：12
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