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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Three-Dimensional Quadratic Nonconforming Brick Element

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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:Sheen, Dongwoo,Luo, Zhongxuan,Kim, Sihwan

发表时间:2014-01-01

发表刊物:NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

收录刊物:SCIE、EI

卷号:30

期号:1

页面范围:158-174

ISSN号:0749-159X

关键字:brick element; 14-point element; quadratic nonconforming element; second-order elliptic problem

摘要:A new nonconforming brick element with quadratic convergence for the energy norm is introduced. The nonconforming element consists of P2 circle plus Span{xyz,x[x2-35(y2+z2)],y[y2-35(x2+z2)],z[z2-35(x2+y2)]} on a cube [-1,1](3), and 14 degree of freedom (DOF). Two types of DOF are introduced. One consists of the value at the eight vertices and six face-centroids and the other consists of the value at the eight vertices and the integration value of six faces. Error estimates of optimal order are derived in both broken energy and L2() norms for second-order elliptic problems. If a genuine hexahedron, which is not a parallelepiped, is included in the partition, the proposed element is also convergent, but with a lower order. Copyright (c) 2013 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 30: 158-174, 2014