A posteriori error estimation for a new stabilized discontinuous Galerkin method

被引：8

作者：

Romkes, A ^{[1
]}

Prudhomme, S ^{[1
]}

Oden, JT ^{[1
]}

机构：

[1] Univ Texas, Inst Computat Engn & Sci, Austin, TX 78712 USA

来源：

APPLIED MATHEMATICS LETTERS | 2003年 / 16卷 / 04期

关键词：

discontinuous Galerkin method; global error estimates; residual method;

D O I：

10.1016/S0893-9659(03)00018-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A posteriori error estimates are derived for a stabilized discontinuous Galerkin method (DGM) [1]. Equivalence between the error norm and the norm of the residual functional is proved, and consequently, global error estimates are obtained by estimating the norm of the residual. One-and two-dimensional numerical experiments are shown for a reaction-diffusion type model problem. (C) 2003 Elsevier Science Ltd. All rights reserved.

引用

页码：447 / 452

页数：6

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