Superconvergence for discontinuous Galerkin finite element methods by L2-projection methods

被引：0
作者：
Jari, Rabeea [1 ]
Mu, Lin [1 ]
Harris, Anna [1 ]
Fox, Lynn [1 ]
机构：
[1] Univ Arkansas, Dept Appl Sci, Little Rock, AR 72204 USA
来源：
COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2013年 / 65卷 / 04期
关键词：
DG finite element methods; Superconvergence; L-2-projection; Elliptic problem; 2ND-ORDER ELLIPTIC PROBLEMS; PATCH RECOVERY; ERROR; APPROXIMATIONS; PROJECTIONS; EQUATIONS; GRADIENT;
D O I：
10.1016/j.camwa.2012.11.013
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A general superconvergence of discontinuous Galerkin (DG) finite element method for the elliptic problem is established by using L-2-projection method. Regularity assumptions for the elliptic problem with regular partitions are required. Numerical experiments are given to verify the theoretical results. (C) 2012 Elsevier Ltd. All rights reserved.
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页码：665 / 672
页数：8
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