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Y. Liu, H. Li, H1-Galerkin mixed finite element methods for pseudo-hyperbolic equations, Appl. Math. Comput., 212(2), (2009) 446-457.

has been cited by the following article:

Article

A Priori Error Analysis and Numerical Simulation of Fully Discrete H1-Galerkin Mixed Element Method for Nonlinear Pseudo-Hyperbolic Equation

1School of Mathematical Sciences, Inner Mongolia University, Hohhot, China


American Journal of Numerical Analysis. 2014, Vol. 2 No. 2, 55-59
DOI: 10.12691/ajna-2-2-4
Copyright © 2014 Science and Education Publishing

Cite this paper:
Guoyu Zhang, Lijun Huang, Zudeng Yu, Yang Liu, Hong Li, Min Zhang. A Priori Error Analysis and Numerical Simulation of Fully Discrete H1-Galerkin Mixed Element Method for Nonlinear Pseudo-Hyperbolic Equation. American Journal of Numerical Analysis. 2014; 2(2):55-59. doi: 10.12691/ajna-2-2-4.

Correspondence to: Hong  Li, School of Mathematical Sciences, Inner Mongolia University, Hohhot, China. Email: mathliuyang@aliyun.com; smslh@imu.edu.cn

Abstract

In this article, a fully discrete two-step H1-Galerkin mixed method is presented for nonlinear pseudo-hyperbolic equation. The spatial direction and time direction are approximated by H1-Galerkin mixed method and two-step difference method, respectively. Some a priori error results are analyzed for the scalar unknown function u and its flux . Moreover, a numerical test is made to verify our theoretical error analysis.

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