标题:
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, 王芬玲
关键字:
Sine-Gordan方程, H1-Galerkin混合元方法, 全离散, 超逼近Sine-Gordon Equations, H1-Galerkin Mixed Finite Element, Fully-Discrete, Supercloseness
期刊名称:
《Advances in Applied Mathematics》, Vol.4 No.2, 2015-05-07
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 H1norm and the flux variable in H(div,Ω) norm with order O(h2+τ2), respectively.