A posteriori error estimates for a discontinuous Galerkin approximation of second-order elliptic problems

被引：322

作者：

Karakashian, OA ^{[1
]}

Pascal, F

机构：

[1] Univ Tennessee, Dept Math, Knoxville, TN 37996 USA

[2] Univ Paris 11, Math Lab, F-91405 Orsay, France

[3] CNRS, F-91405 Orsay, France

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2003年 / 41卷 / 06期

关键词：

discontinuous Galerkin methods; a posteriori estimates;

D O I：

10.1137/S0036142902405217

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Several a posteriori error estimators are introduced and analyzed for a discontinuous Galerkin formulation of a model second-order elliptic problem. In addition to residual-type estimators, we introduce some estimators that are couched in the ideas and techniques of domain decomposition. Results of numerical experiments are presented.

引用

页码：2374 / 2399

页数：26

共 20 条

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[2]

[Anonymous], 1995, A Review of A Posteriori Error Estimation and Adaptive Mesh-Refinement Techniques

[3]

[Anonymous], 1976, LECT NOTES PHYS

[4] AN INTERIOR PENALTY FINITE-ELEMENT METHOD WITH DISCONTINUOUS ELEMENTS [J].