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

Guoyu Zhang¹, Lijun Huang¹, Zudeng Yu¹, Yang Liu^1, , Hong Li^1, and Min Zhang¹

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

Cite this paper:
Guoyu Zhang, Lijun Huang, Zudeng Yu, Yang Liu, Hong Li and 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

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.

Keywords:
two-step discrete method H¹-Galerkin mixed method nonlinear pseudo-hyperbolic equation a priori error analysis fully discrete scheme

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