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Local discontinuous Galerkin methods for elliptic problems

✍ Scribed by Castillo, P. ;Cockburn, B. ;Perugia, I. ;Schötzau, D.

Publisher
John Wiley and Sons
Year
2001
Tongue
English
Weight
112 KB
Volume
18
Category
Article
ISSN
1069-8299

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✦ Synopsis

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.

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