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.
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。
