Sine-Gordon方程H¹-Galerkin非协调混合元法的超逼近分析  

Supercloseness Analysis of an H1-Galerkin Nonconforming Mixed Finite Element Method for Sine-Gordon Equations

作　　者：史艳华[1] 王芬玲[1] 

机构地区：[1]许昌学院数学与统计学院,河南许昌

出　　处：《应用数学进展》2015年第2期105-111,共7页Advances in Applied Mathematics

基　　金：许昌学院青年骨干教师项目。

摘　　要：本文主要提出了非线性Sine-Gordon方程的H1-Galerkin非协调混合元方法的全离散逼近格式。利用双线性元和一个非协调元的性质及插值理论,分别得到了原始变量和流量在H1模和H(div,Ω)模下具有O(h2+τ2)阶的超逼近性质。In this paper, an H1-Galerkin nonconforming mixed finite element method is mainly proposed for Sine-Gordon equations under fully-discrete scheme. By use of the properties of bilinear element and a nonconforming element and interpolation theory, the supercloseness properties are derived for the original variable in H1 norm and the flux variable in H(div,Ω) norm with order O(h2+τ2) , respectively.

关 键 词：Sine-Gordan方程 H¹-Galerkin混合元方法 全离散 超逼近 

分 类 号：O1[理学—数学]