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.

引用

页码：665 / 672

页数：8

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