SUPERCONVERGENCE AND NONSUPERCONVERGENCE OF THE SHORTLEY-WELLER APPROXIMATIONS FOR DIRICHLET PROBLEMS
SUPERCONVERGENCE AND NONSUPERCONVERGENCE OF THE SHORTLEY-WELLER APPROXIMATIONS FOR DIRICHLET PROBLEMS
复制标题
狄利克雷问题的肖特利-韦勒近似的超收敛性和非超收敛性
DOI：
10.1081/nfa-100105113
复制
发表时间：
2001
影响因子：
1.2
通讯作者：
Xiaojun Chen
中科院分区：
文献类型：
--
作者：
Tetsuro Yamamoto;Qing Fang;Xiaojun Chen
我们关心的是椭圆型方程狄利克雷问题的数值解。研究了Shortley-Weller近似下数值解的收敛性。我们给出了三个例子，证明了它们在任意边界点附近都是非超收敛的，在边附近是超收敛的，在角点附近是超收敛的。
We are concerned with the numerical solutions of Dirichlet problems of elliptic equations. The convergence behavior of numerical solutions by using Shortley-Weller approximation is considered. We give three examples and prove that they have properties of nonsuperconvergence near any boundary point, superconvergence near a side and superconvergence near a corner, respectively.