孟兆良

个人信息Personal Information

副教授

硕士生导师

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:计算数学

电子邮箱:mzhl@dlut.edu.cn

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A stable nonconforming finite element on hexahedra

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论文类型:期刊论文

第一作者:Meng, Zhaoliang

通讯作者:Meng, ZL (reprint author), Dalian Univ Technol, Sch Math Sci, Dalian 116024, Peoples R China.

合写作者:Luo, Zhongxuan,Zhou, Xinchen

发表时间:2017-02-01

发表刊物:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

收录刊物:SCIE、EI、Scopus

卷号:109

期号:5

页面范围:611-630

ISSN号:0029-5981

关键字:quadratic nonconforming element; brick element; 13-point element; cubic meshes; stokes problem

摘要:A new nonconforming brick element is introduced, which only has 13 DOFs locally and takes P-2 circle plus Span {x(1)(3); x(2)(3),; x(3)(3)} as its shape functions space. The vector-valued version generates, together with a discontinuous P-1 approximation, an inf-sup stable finite element pair of order 2 for the Stokes problem in the energy norm. Copyright (C) 2016 John Wiley & Sons, Ltd.