Title
A Posteriori Error Estimates for a Discontinuous Galerkin Approximation of Second-Order Elliptic Problems
Abstract
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.
Year
DOI
Venue
2003
10.1137/S0036142902405217
SIAM J. Numerical Analysis
Keywords
Field
DocType
domain decomposition,discontinuous galerkin formulation,a posteriori estimates,discontinuous galerkin approximation,posteriori error estimates,posteriori error estimator,numerical experiment,second-order elliptic problems,discontinuous galerkin methods,model second-order elliptic problem,discontinuous galerkin method,discontinuous galerkin
Discontinuous Galerkin method,Mathematical optimization,Mathematical analysis,A priori and a posteriori,Decomposition method (constraint satisfaction),Numerical analysis,Partial differential equation,Elliptic curve,Mathematics,Domain decomposition methods,Estimator
Journal
Volume
Issue
ISSN
41
6
0036-1429
Citations 
PageRank 
References 
97
7.21
2
Authors
2
Name
Order
Citations
PageRank
Ohannes A. Karakashian120228.44
Frederic Pascal220212.45