Local discontinuous Galerkin methods for elliptic problems

被引：11
|
作者：
Castillo, P
Cockburn, B
Perugia, I
Schötzau, D
机构：
[1] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA
[2] Univ Pavia, Dipartimento Matemat, I-27100 Pavia, Italy
来源：
COMMUNICATIONS IN NUMERICAL METHODS IN ENGINEERING | 2002年 / 18卷 / 01期
关键词：
finite element methods; discontinuous Galerkin methods; elliptic problems;
D O I：
10.1002/cnm.471
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
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 (C) 2001 John Wiley Sons, Ltd.
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页码：69 / 75
页数：7
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