文章基本信息

标题：A Priori Error Analysis and Numerical Simulation of Fully Discrete H¹-Galerkin Mixed Element Method for Nonlinear Pseudo-Hyperbolic Equation
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作者：Guoyu Zhang ; Lijun Huang ; Zudeng Yu 等
期刊名称：American Journal of Numerical Analysis
印刷版ISSN：2372-2118
电子版ISSN：2372-2126
出版年度：2014
卷号：2
期号：2
页码：55-59
DOI：10.12691/ajna-2-2-4
语种：English
出版社：Science and Education Publishing
摘要：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.
关键词：two-step discrete method; H¹-Galerkin mixed method; nonlinear pseudo-hyperbolic equation; a priori error analysis; fully discrete scheme