A review of the Local Discontinuous Galerkin (LDG) method applied to elliptic problems

被引：31
|
作者：
Castillo, Paul [1 ]
机构：
[1] Univ Puerto Rico, Dept Math, Mayaguez, PR 00681 USA
来源：
APPLIED NUMERICAL MATHEMATICS | 2006年 / 56卷 / 10-11期
关键词：
discontinuous Galerkin methods; super-convergence;
D O I：
10.1016/j.apnum.2006.03.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper presents a review of the so-called Local Discontinuous Galerkin (LDG) method applied to elliptic problems. The method is presented using a mixed formulation similar to that of the classical mixed finite element method. A summary of the convergence properties is presented. Preliminary theoretical results on super-convergent points are discussed. Numerical experiments of a gradient recovering technique are presented. (c) 2006 IMACS. Published by Elsevier B.V. All rights reserved.
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页码：1307 / 1313
页数：7
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