A Posteriori Error Estimates for Weak Galerkin Finite Element Methods for Second Order Elliptic Problems

被引：64

作者：

Chen, Long ^{[1
]}

Wang, Junping ^{[2
]}

Ye, Xiu ^{[3
]}

机构：

[1] Univ Calif Irvine, Dept Math, Irvine, CA 92697 USA

[2] Natl Sci Fdn, Div Math Sci, Arlington, VA 22230 USA

[3] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA

来源：

JOURNAL OF SCIENTIFIC COMPUTING | 2014年 / 59卷 / 02期

基金：

美国国家科学基金会;

关键词：

Weak Galerkin; Finite element methods; Discrete weak gradient; Secondorder elliptic problems; A posterior error estimate; REFINEMENT;

D O I：

10.1007/s10915-013-9771-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A residual type a posteriori error estimator is presented and analyzed for Weak Galerkin finite element methods for second order elliptic problems. The error estimator is proved to be efficient and reliable through two estimates, one from below and the other from above, in terms of an -equivalent norm for the exact error. Two numerical experiments are conducted to demonstrate the effectiveness of adaptive mesh refinement guided by this estimator.

引用

页码：496 / 511

页数：16

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