两点边值问题有限元重构导数超强收敛性  

Ultraconvergence of Finite Element Derivative Recovery for Two-point Boundary Problem

作　　者：熊之光[1] 邓康[1] 

机构地区：[1]湖南科技大学数学与计算科学学院

出　　处：《应用数学》2004年第4期656-660,共5页Mathematica Applicata

基　　金：国家自然科学基金项目 (19990 32 80 4 )

摘　　要：基于两点边值问题 ,本文在改进的单元正交估计和连续性优化的基础上 ,研究了一种n次有限元单元块导数重构 ,该方法所获得的重构导数在单元块内部有n- 1个强超收敛点 .Based in an improved orthogonal expansion in an element and continuous optimization,a n-order finite element patch derivative recovery method is studied for the two-point boundary problem.It is shown that the recovery derivative obtained by this method have n-1 ultraconvergent points in a patch.

关 键 词：两点边值问题 n次有限元 导数的单元块重构 强超收敛 

分 类 号：O242.21[理学—计算数学]