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

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...

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 29; no. 4; pp. 843 - 854
Main Authors Shi, Dong-yang, Tang, Qi-li
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.10.2013
Subjects
Applications of Mathematics
L2范数
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
伪双曲型方程
分裂
收敛性分析
最优误差估计
正定
混合有限元方法
非协调
pseudo-hyperbolic equations
65N15
splitting positive definite nonconforming mixed finite element method
superclose
superconvergence
65N30
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Summary: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.
Bibliography: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.
11-2041/O1
pseudo-hyperbolic equations, splitting positive definite nonconforming mixed finite element method,superclose, superconvergence
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-013-0261-z