Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition
Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition作者机构：Department of Mathematics Zhengzhou Univercity Zhengzhou 450052 China Department of Mathematics Handan College Handan 056005 China
出 版 物：《Applied Mathematics(A Journal of Chinese Universities)》 (高校应用数学学报（英文版）（B辑）)
年 卷 期：2008年第23卷第4期
页 面：455-462页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：Supported by the National Natural Science Foundation of China (10671184)
主 题：nonlinear hyperbolic equation nonlinear boundary condition superconvergence postprocessing technique
摘 要：This paper discusses the semidiscrete finite element method for nonlinear hyperbolic equations with nonlinear boundary condition. The superclose property is derived through interpolation instead of the nonlinear H^1 projection and integral identity technique. Meanwhile, the global superconvergence is obtained based on the interpolated postprocessing techniques.
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