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

共 50 条

[1] Superconvergence Analysis of Splitting Positive Definite Nonconforming Mixed Finite Element Method for Pseudo-hyperbolic Equations
Shi, Dong-yang
Tang, Qi-li
ACTA MATHEMATICAE APPLICATAE SINICA-ENGLISH SERIES, 2013, 29 (04): : 843 - 854
[2] Superconvergence Analysis of Splitting Positive Definite Nonconforming Mixed Finite Element Method for Pseudo-hyperbolic Equations
Dong-yang SHI
Qi-li TANG
Acta Mathematicae Applicatae Sinica, 2013, (04) : 843 - 854
[3] Splitting positive definite mixed element methods for pseudo-hyperbolic equations
Liu, Yang
Li, Hong
Wang, Jinfeng
He, Siriguleng
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2012, 28 (02) : 670 - 688
[4] A Priori Error Estimates and Superconvergence of Splitting Positive Definite Mixed Finite Element Methods for Pseudo-Hyperbolic Integro-Differential Optimal Control Problems
C. Xu
Numerical Analysis and Applications, 2020, 13 : 17 - 33
[5] A Priori Error Estimates and Superconvergence of Splitting Positive Definite Mixed Finite Element Methods for Pseudo-Hyperbolic Integro-Differential Optimal Control Problems
Xu, C.
NUMERICAL ANALYSIS AND APPLICATIONS, 2020, 13 (01) : 17 - 33
[6] Superconvergence of Fully Discrete Splitting Positive Definite Mixed FEM for Hyperbolic Equations
Wang, Fang
Chen, Yanping
Tang, Yuelong
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2014, 30 (01) : 175 - 186
[7] The superconvergence analysis of the nonconforming mixed finite element method for quasilinear viscoelasticity equations
Lv, Jinfeng
Hu, Guijiang
Kong, Liang
Ren, Yunli
ICIC Express Letters, 2015, 9 (03): : 855 - 860
[8] The superconvergence analysis of a nonconforming mixed finite element method for semilinear Sobolev equations
2013, ICIC Express Letters Office (08):
[9] A Low Order Nonconforming Mixed Finite Element Scheme for Nonlinear Integro differential Equations of Pseudo-hyperbolic Type
Li, Xianzhi
Zhang, Kaiguang
Meng, Hongling
PROCEEDINGS OF THE 5TH INTERNATIONAL SYMPOSIUM ON KNOWLEDGE ACQUISITION AND MODELING, 2015, 80 : 125 - 127
[10] A Splitting Positive Definite Mixed Element Method for Second-Order Hyperbolic Equations
Zhang, Jiansong
Yang, Danping
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2009, 25 (03) : 622 - 636

← 1 2 3 4 5 →