Energy norm a posteriori error estimation for discontinuous Galerkin methods
Artikel i vetenskaplig tidskrift, 2003

In this paper we present a residual-based a posteriori error estimate of a natural mesh dependent energy norm of the error in a family of discontinuous Galerkin approximations of elliptic problems. The theory is developed for an elliptic model problem in two and three spatial dimensions and general nonconvex polygonal domains are allowed. We also present some illustrating numerical examples.


Roland Becker

Universität Heidelberg

Peter F G Hansbo

Chalmers, Tillämpad mekanik, Dynamik

Mats Larson

Chalmers University of Technology

Computer Methods in Applied Mechanics and Engineering

0045-7825 (ISSN)

Vol. 192 723-733