非线性Klein-Gordon方程各向异性高精度有限元分析  

Higher Accuracy Finite Element Analysis of the Nonlinear Sine-Gordon Equations on Anisotropic Meshes

作　　者：任金城[1] 郭东林[1] 

机构地区：[1]商丘师范学院数学系,河南商丘476000

出　　处：《咸阳师范学院学报》2011年第4期1-4,共4页Journal of Xianyang Normal University

基　　金：商丘师范学院科研基金项目(2010QN013)

摘　　要：讨论了在半离散格式下的各向异性双线性元对非线性Klein-Gordon方程的逼近。利用单元自身的特殊性质和一些新的分析技巧得到了超逼近性质,通过构造一个插值后处理算子导出了整体超收敛结果。In this paper, bilinear finite element approximation to nonlinear Klein-Gordon equations on anisotropic meshes under semidiscrete scheme is discussed.Firstly, the result of superclose can be derived through the element＇ s special property and some novel approaches. Finally, based on the interpolated postprocessing technique, the global superconvergenee is derived.

关 键 词：Klein—Gordon方程 双线性元 各向异性网格 超收敛 

分 类 号：O241.82[理学—计算数学]