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;
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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.
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页码：843 / 854
页数：11
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