Superconvergence analysis of splitting positive definite nonconforming mixed finite element method for pseudo-hyperbolic equations

被引：0

作者：

Dong-yang Shi

Qi-li Tang

机构：

[1] Zhengzhou University,School of Mathematics and Statistics

[2] Henan University of Science and Technology,School of Mathematics and Statistics

来源：

Acta Mathematicae Applicatae Sinica, English Series | 2013年 / 29卷

关键词：

pseudo-hyperbolic equations; splitting positive definite nonconforming mixed finite element method; superclose; superconvergence; 65N30; 65N15;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a new splitting positive definite nonconforming mixed finite element method is proposed for pseudo-hyperbolic equations, in which a quasi-Wilson quadrilateral element is used for the flux p, and the bilinear element is used for u. Superconvergence results in ‖ · ‖div,h norm for p and optimal error estimates in L2 norm for u are derived for both semi-discrete and fully discrete schemes under almost uniform meshes.

引用

页码：843 / 854

页数：11

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