Weak Galerkin based a posteriori error estimates for second order elliptic interface problems on polygonal meshes

被引：13
|
作者：
Mu, Lin [1 ]
机构：
[1] Oak Ridge Natl Lab, Comp Sci & Math Div, Oak Ridge, TN 37831 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2019年 / 361卷
关键词：
Weak Galerkin; Finite element methods; Second-order elliptic interface problems; A posterior error estimate; Polygonal meshes; FINITE-ELEMENT METHODS; DIFFUSION; REFINEMENT;
D O I：
10.1016/j.cam.2019.04.026
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present a posteriori error estimate of weak Galerkin (WG) finite element methods based on the second order elliptic interface problems. This estimate can be applied to polygonal meshes or meshes with hanging nodes. The reliability and efficiency of the designed error estimator has been proved in this work. Extensive numerical tests are performed to validate our algorithm. These results demonstrate the effectiveness of the adaptive mesh refinement guided by the proposed error estimator. (C) 2019 Elsevier B.V. All rights reserved.
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页码：413 / 425
页数：13
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