A weak Galerkin generalized multiscale finite element method

被引：5
|
作者：
Mu, Lin [1 ]
Wang, Junping [2 ]
Ye, Xiu [3 ]
机构：
[1] Oak Ridge Natl Lab, Comp Sci & Math Div, Oak Ridge, TN 37831 USA
[2] Natl Sci Fdn, Div Math Sci, 4201 Wilson Blvd, Arlington, VA 22230 USA
[3] Univ Arkansas, Dept Math, Little Rock, AR 72204 USA
来源：
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2016年 / 305卷
基金：
美国国家科学基金会;
关键词：
Weak Galerkin; Multiscale; Finite element methods; Elliptic problems with rapidly oscillating or high contrast coefficients; Polyhedral meshes; ELLIPTIC PROBLEMS;
D O I：
10.1016/j.cam.2016.03.017
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we propose a general framework for weak Galerkin generalized multiscale (WG-GMS) finite element method for the elliptic problems with rapidly oscillating or high contrast coefficients. This general WG-GMS method features in high order accuracy on general meshes and can work with multiscale basis derived by different numerical schemes. A special case is studied under this WG-GMS framework in which the multiscale basis functions are obtained by solving local problem with the weak Galerkin finite element method. Convergence analysis and numerical experiments are obtained for the special case. (C) 2016 Elsevier B.V. All rights reserved.
引用
收藏
页码：68 / 81
页数：14
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