电报方程H^1-Galerkin非协调混合有限元分析  

H^1-Galerkin Nonconforming Mixed Finite Element Analysis of Telegraph Equations

作　　者：马戈[1] 周家全[2] 石东洋[3] 

机构地区：[1]南阳理工学院数学系,河南南阳473004 [2]洛阳理工学院数理部,河南洛阳471023 [3]郑州大学数学系,河南郑州450052

出　　处：《数学的实践与认识》2010年第16期107-112,共6页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10671184;10971203);河南省教育厅自然科学研究计划项目(2010B110017)

摘　　要：主要研究一类电报方程的H^1-Galerkin非协调混合有限元方法,在任意四边形网格剖分下,其逼近空间分别取为类Wilson元与双线性Q_1元,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,得到了与常规有限元方法相同的L^2-模和H^1-模的误差估计,进一步拓展了H^1-Galerkin混合有限元和类Wilson元的应用范围.In this paper, an H^1-Galerkin nonconforming mixed finite element method telegraph equations is studied on arbitrary quadrilateral meshes, the approximating spaces are selected as Quasi-Wilson element and bilinear Q1 element, respectively. Without requiring tbe LBB consistency condition and traditiona/ Ritz projection, the same error estimates of L^2-norm and H^1-norm as those of the tconventional finite element methods are obtained. Thus the applications of H^1-Galerkin mixed finite element method and Quasi-Wilson element are extended.

关 键 词：电报方程 H^1-Galerkin混合有限元 类WILSON元 任意四边形 误差估计 

分 类 号：O241.82[理学—计算数学]