标题:Weak Galerkin finite element methods for Sobolev equation
作者:Gao, Fuzheng; Cui, Jintao; Zhao, Guoqun
作者机构:[Gao, Fuzheng; Zhao, Guoqun] Shandong Univ, Sch Mat Sci & Engn, Jinan 250061, Peoples R China.; [Gao, Fuzheng] Shandong Univ, Sch Math, Jinan 250100 更多
通讯作者:Cui, Jintao
通讯作者地址:[Cui, JT]Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China.
来源:JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
出版年:2017
卷:317
页码:188-202
DOI:10.1016/j.cam.2016.11.047
关键词:Sobolev equation; Weak Galerkin; Weak gradient; Discrete weak gradient;; Error estimate
摘要:We present some numerical schemes based on the weak Galerkin finite element method for one class of Sobolev equations, in which differential operators are approximated by weak forms through the usual integration by parts. In particular, the numerical method allows the use of discontinuous finite element functions and arbitrary shape of element. The proposed schemes will be proved to have good numerical stability and high order accuracy when time variable is continuous. Also an optimal error estimate is obtained for the fully discrete scheme. Finally, some numerical results are given to verify our analysis for the scheme. (C) 2016 Elsevier B.V. All rights reserved.
收录类别:EI;SCOPUS;SCIE
WOS核心被引频次:2
Scopus被引频次:3
资源类型:期刊论文
原文链接:https://www.scopus.com/inward/record.uri?eid=2-s2.0-85007310294&doi=10.1016%2fj.cam.2016.11.047&partnerID=40&md5=ef2141bed69250b2bdbf65849dd908f3
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