两个三角形元形函数空间的能量正交化  

The orthogonalizations of two triangular elements' shape function spaces

作　　者：刘鸣放[1,2] 张建国[1] 

机构地区：[1]河南大学数学学院,河南开封475000 [2]郑州大学数学系,河南郑州450052

出　　处：《商丘师范学院学报》2008年第12期20-23,共4页Journal of Shangqiu Normal University

基　　金：国家自然科学基金资助项目(10771198;10590353);河南大学自然科学基金项目(06YBZR027)

摘　　要：关于二阶椭圆边值问题,本文对三角形上二次Lagrange元和Carey元的形函数空间进行了能量正交化.能量正交的形函数空间使单元刚度矩阵为对角块:Ke=Krc+Kh,其中Krc只和形函数空间的常应变有关,Kh由高阶模态决定.In this paper,we have changed the shape function spaces of the quadric Lagrange triangular element and Carey element into energy -orthogonal ones respectively, such that the stiffness matrices are block diagonal ：Ke = Krc ＋ Kh, where Krc corresponds to constant strain of shape function spaces only, Kh is determinded by high modes. The two energy - orthogonal elements are proved to be convergent and equivalent to quadrie Lagrange triangular element and Carey element.

关 键 词：有限元 能量正交形函数空间 刚度矩阵 

分 类 号：O241.3[理学—计算数学]