Further results on ultraconvergence derivative recovery for odd-order rectangular finite elements  

作　　者：WEI JiDong ZHU QiDing 

机构地区：[1]College of Mathematics and Computer Science,Hunan Normal University,Changsha 410081,China [2]Department of Mathematics,Hengyang Normal University,Hengyang 421000,China

出　　处：《Science China Mathematics》2009年第8期1671-1684,共14页中国科学：数学（英文版）

摘　　要：For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(hk+3) (k 3 being odd) and displacement has order of O(hk+4) (k 4 being even) at the locally symmetry points.For rectangular finite element, we give a superconvergence method by SPR technique based on the generalization of a new ultraconvergence record and the sharp Green function estimates, by which we prove that the derivative has ultra-convergence of order O(h k+3) (k ? 3 being odd) and displacement has order of O(h k+4) (k ? 4 being even) at the locally symmetry points.

关 键 词：finite element ultra-convergence locally symmetric meshes SPR operator 65N30 

分 类 号：O241[理学—计算数学]