A Posteriori Error Analysis for the Weak Galerkin Method for Solving Elliptic Problems

被引：16
|
作者：
Zhang, Tie [1 ]
Chen, Yanli [1 ]
机构：
[1] Northeastern Univ, Dept Math, Shenyang 110004, Liaoning, Peoples R China
来源：
INTERNATIONAL JOURNAL OF COMPUTATIONAL METHODS | 2018年 / 15卷 / 08期
关键词：
Weak Galerkin method; a posteriori error estimate; error upper bound and lower bound; second-order elliptic problem; FINITE-ELEMENT-METHOD; DIFFUSION-PROBLEMS; DISCONTINUOUS GALERKIN;
D O I：
10.1142/S0219876218500755
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we study the a posteriori error estimate for weak Galerkin finite element method solving elliptic problems. A residual type error estimator is proposed and is proven to be reliable and efficient. This estimator provides global upper and lower bounds on the exact error in a discrete H-1-norm. Numerical experiments are given to illustrate the effectiveness of the proposed error estimator.
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页数：17
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