Superconvergence Analysis of Splitting Positive Definite Nonconforming Mixed Finite Element Method for Pseudo-hyperbolic Equations  

作　　者：Dong-yang SHI Qi-li TANG 

机构地区：[1]School of Mathematics and Statistics,Zhengzhou University [2]School of Mathematics and Statistics,Henan University of Science and Technology

出　　处：《Acta Mathematicae Applicatae Sinica》2013年第4期843-854,共12页应用数学学报（英文版）

基　　金：Supported by the National Natural Science Foundation of China(No.10971203,11271340,11101384);the Specialized Research Fund for the Doctoral Program of Higher Education(No.20094101110006)

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.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.

关 键 词：pseudo-hyperbolic equations splitting positive definite nonconforming mixed finite element method superclose SUPERCONVERGENCE 

分 类 号：O175.27[理学—数学]