This work was carried out when the author was a Visiting Professor at the University of Minnesota
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Research Article
Local discontinuous Galerkin methods for elliptic problems
Article first published online: 7 DEC 2001
DOI: 10.1002/cnm.471
Copyright © 2001 John Wiley & Sons, Ltd.
Issue
1099-0887/asset/cover.gif?v=1&s=8e14cbe972b8cbd6b6bec1956796cfde8e013cd8 "Communications in Numerical Methods in Engineering")
Communications in Numerical Methods in Engineering
Volume 18, Issue 1, pages 69–75, January 2002
Additional Information
How to Cite
Castillo, P., Cockburn, B., Perugia, I. and Schötzau, D. (2002), Local discontinuous Galerkin methods for elliptic problems. Commun. Numer. Meth. Engng., 18: 69–75. doi: 10.1002/cnm.471
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This work was carried out when the author was a Visiting Professor at the University of Minnesota
Publication History
- Issue published online: 7 DEC 2001
- Article first published online: 7 DEC 2001
- Manuscript Accepted: SEP 2001
- Manuscript Received: DEC 2000
Funded by
- NSF and University of Minnesota Supercomputing Institute. Grant Number: DMS-9807491
- Abstract
- References
- Cited By
Keywords:
- finite element methods;
- discontinuous Galerkin methods;
- elliptic problems
Abstract
In this paper, we review the development of local discontinuous Galerkin methods for elliptic problems. We explain the derivation of these methods and present the corresponding error estimates; we also mention how to couple them with standard conforming finite element methods. Numerical examples are displayed which confirm the theoretical results and show that the coupling works very well. Copyright © 2001 John Wiley & Sons, Ltd.