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.
出处
《湘潭大学自然科学学报》
CAS
CSCD
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
关键词
有限元
等级网格
超收敛性
精度
finite element
net
accuracy/graded mesh
superconvergence.
