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发布时间：2019-03-09

论文类型：期刊论文

发表时间：2015-05-01

发表刊物：NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

收录刊物：Scopus、EI、SCIE

卷号：31

期号：3

页面范围：691-705

ISSN号：0749-159X

关键字：nonconforming finite element; optimal error estimates; quadrilateral mesh

摘要：A new nonconforming rectangle element with cubic convergence for the energy norm is introduced. The degrees of freedom (DOFs) are defined by the 12 values at the three Gauss points on each of the four edges. Due to the existence of one linear relation among the above DOFs, it turns out the DOFs are 11. The nonconforming element consists of . We count the corresponding dimension for Dirichlet and Neumann boundary value problems of second-order elliptic problems. We also present the optimal error estimates in both broken energy and norms. Finally, numerical examples match our theoretical results very well. (c) 2014 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 31: 691-705, 2015