Sine-Gordon方程的H^1-Galerkin非协调混合有限元分析  

H^1-Galerkin Nonconforming Mixed Finnite Element Analysis of Sine-Gordon Equations

作　　者：梁洪亮[1] 李秋红[2] 

机构地区：[1]商丘师范学院数学系,河南商丘476000 [2]河南城建学院数学系,河南平顶山467000

出　　处：《数学的实践与认识》2013年第13期187-192,共6页Mathematics in Practice and Theory

基　　金：河南省自然科学基金(092300410148);河南省教育厅自然科学基金(2011A110013)

摘　　要：研究一类Sine-Gordon方程的H^1-Galerkin非协调混合有限元方法,在矩形网格剖分下,在不需要满足LBB相容性条件及不采用传统的Ritz投影的情况下,得到了与协调有限元方法相同的L^2模和H^1模的误差估计,进一步拓展了H^1-Galerkin混合有限元的应用范围.In this paper, an H1-Gaierkin nonconforming mixed finite element analysis of Sine-Gordon equations is studied on arbitrary quadrilateral meshes. Without requiring the LBB consistency condition and traditional Ritz projection, the same error estimates of L2- norm and Hi-norm as those of the conventional finite element methods are obtained. Thus the applications of H1-Galerkin mixed finite element method is extended.

关 键 词：SINE-GORDON方程 H^1-Galerkin混合有限元 误差估计 

分 类 号：O241.82[理学—计算数学]