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论文类型：期刊论文

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