点击次数：

论文类型：期刊论文

发表时间：2019-05-01

发表刊物：NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS

收录刊物：SCIE、EI

卷号：35

期号：3

页面范围：1152-1163

ISSN号：0749-159X

关键字：finite element; nonconforming element; nonparametric; pyramidal mesh

摘要：In this paper, a new nonparametric nonconforming pyramid finite element is introduced. This element takes the five face mean values as the degrees of the freedom and the finite element space is a subspace of P-2. Different from the other nonparametric elements, the basis functions of this new element can be expressed explicitly without solving linear systems locally, which can be achieved by introducing a new reference pyramid. To evaluate the integration, a class of new quadrature formulae with only two/three equally weighted points on pyramid are constructed. We present the error estimation in the presence of quadrature formulae. Numerical results are shown to confirm the optimality of the convergence order for the second order elliptic problems.