Superconvergence analysis of the finite element method for nonlinear hyperbolic equations with nonlinear boundary condition  

作　　者：SHI Dong-yang LI Zhi-yan 

机构地区：[1]Department of Mathematics, Zhengzhou Univercity, Zhengzhou 450052, China [2]Department of Mathematics, Handan College, Handan 056005, China

出　　处：《Applied Mathematics(A Journal of Chinese Universities)》2008年第4期455-462,共8页高校应用数学学报（英文版）（B辑）

基　　金：Supported by the National Natural Science Foundation of China (10671184)

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.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.

关 键 词：nonlinear hyperbolic equation nonlinear boundary condition SUPERCONVERGENCE postprocessing technique 

分 类 号：O17[理学—数学]