二阶椭圆问题的格林函数双线性矩形元的超收敛性  

Super-convergence of Bilinear Rectangular Element of Green’s Function in Second Order Elliptic Problems

作　　者：张兴军[1] 何文明[1] 

机构地区：[1]温州大学数学与信息科学学院,浙江温州310035

出　　处：《温州大学学报（自然科学版）》2011年第2期7-12,共6页Journal of Wenzhou University(Natural Science Edition)

摘　　要：把二维二阶椭圆问题的格林函数的双线性矩形元的逐点误差估计与一般二阶椭圆问题的一次线性元的超收敛性结合起来,对二维二阶椭圆问题的格林函数的双线性矩形元的超收敛性进行了研究,得到了相应的逐点误差估计.By combining pointwise error estimates of bilinear rectangular element of Green＇s function in two-dimensional second order elliptic problems with super-convergence of one order linear element of common second order elliptic problems, the super-convergence of bilinear rectangular element of Green＇s function in two-dimensional second order elliptic problems was examined. And the corresponding pointwise error estimates were obtained at the same time

关 键 词：二阶椭圆问题 格林函数 双线性矩形元 逐点误差估计 超收敛性 

分 类 号：O175.2[理学—数学]