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

被引：12

作者：

Shi, Dong-yang ^{[1
]}

Tang, Qi-li ^{[1
,2
]}

机构：

[1] Zhengzhou Univ, Sch Math & Stat, Zhengzhou 450001, Peoples R China

[2] Henan Univ Sci & Technol, Sch Math & Stat, Luoyang 471023, Peoples R China

来源：

ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES | 2013年 / 29卷 / 04期

基金：

中国国家自然科学基金;

关键词：

pseudo-hyperbolic equations; splitting positive definite nonconforming mixed finite element method; superclose; superconvergence; SQUARES GALERKIN PROCEDURES; PSEUDOHYPERBOLIC EQUATIONS; LAGRANGIAN-MULTIPLIERS; DIFFUSION PROBLEMS; STOKES EQUATIONS; APPROXIMATION; EXISTENCE; SCHEME; MESHES;

D O I：

10.1007/s10255-013-0261-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 parallel to.parallel to(div,h) norm for p and optimal error estimates in L-2 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：12

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