凹角域上有限元的超收敛性(英文)  

SUPERCONVERGNCE OF FINITE ELEMENT IN DOMAIN WITH REENTRANT

作　　者：陈传淼[1] 

机构地区：[1]湘潭大学数学系

出　　处：《湘潭大学自然科学学报》1990年第4期134-141,共8页Natural Science Journal of Xiangtan University

基　　金：Projects supported by the National Natural science fundation of China. Received July 19, 1990

摘　　要：在凹角域上考虑二阶椭圆问题的线性有限元解u_h,在分片σ-等级网格(即PC'-剖分)的边中点集合M_h上证明了平均梯度(?)h按L_2范数的超收敛性。We consider the Iinear finite element solution u_h of an elliptic problem of second order in domain with reentrant. In the case of piecewise σ-graded mesh (i.e.PC'-triangulation) the superconvergence of averaging gradient (?)_h in L_2 norm on side middle point set M_h, E_r(u-u_h)=O(h^2), is proved.

关 键 词：有限元 等级网格 超收敛性 精度 

分 类 号：O242.21[理学—计算数学]