Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

20023,219 citationsJournal Article

Authors

Douglas N. Arnold · University of Minnesota

Franco Brezzi · National Academies of Sciences, Engineering, and Medicine

Bernardo Cockburn · University of Minnesota

Abstract

We provide a framework for the analysis of a large class of discontinuous methods for second-order elliptic problems. It allows for the understanding and comparison of most of the discontinuous Galerkin methods that have been proposed over the past three decades for the numerical treatment of elliptic problems.

Topics & Keywords

Advanced Numerical Methods in Computational Mathematics Electromagnetic Simulation and Numerical Methods Numerical methods for differential equations

Publication Details

Published in: SIAM Journal on Numerical Analysis

Volume 39, Issue 5, pp. 1749-1779

DOI: 10.1137/s0036142901384162

Field-Weighted Citation Impact: 77.35

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Unified Analysis of Discontinuous Galerkin Methods for Elliptic Problems

Authors

Abstract

Topics & Keywords

Publication Details