POLYNOMIAL PRESERVING RECOVERY OF AN OVER-PENALIZED SYMMETRIC INTERIOR PENALTY GALERKIN METHOD FOR ELLIPTIC PROBLEMS

被引：6
|
作者：
Song, Lunji [1 ,2 ]
Zhang, Zhimin [3 ,4 ]
机构：
[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China
[2] Lanzhou Univ, Key Lab Appl Math & Complex Syst Gansu Prov, Lanzhou 730000, Peoples R China
[3] Beijing Computat Sci Res Ctr, Beijing 100094, Peoples R China
[4] Wayne State Univ, Dept Math, Detroit, MI 48202 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B | 2015年 / 20卷 / 05期
基金：
中国国家自然科学基金; 美国国家科学基金会;
关键词：
Symmetric interior penalty Galerkin method; PPR; discrete least-squares fitting; superconvergence; a posteriori error estimator; POSTERIORI ERROR ESTIMATORS; FINITE-ELEMENT METHODS; SUPERCONVERGENCE;
D O I：
10.3934/dcdsb.2015.20.1405
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A polynomial preserving recovery technique is applied to an over-penalized symmetric interior penalty method. The discontinuous Galerkin solution values are used to recover the gradient and to further construct an a posteriori error estimator in the energy norm. In addition, for uniform triangular meshes and mildly structured meshes satisfying the c-sigma condition, the method for the linear element is superconvergent under the regular pattern and under the chevron pattern, while it is superconvergent for the quadratic element under the regular pattern.
引用
收藏
页码：1405 / 1426
页数：22
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