NEW ERROR EXPANSION FOR ONE-DIMENSIONAL FINITE ELEMENTS AND ULTRACONVERGENCE  

作　　者：陈传淼 谢资清 刘经洪 

机构地区：[1]Institute of Computation Hunan Normal University, Changsha 410081, PRC. [2]Institute of Computation Hunan Normal University, Changsha 410081, PRC

出　　处：《Numerical Mathematics A Journal of Chinese Universities(English Series)》2005年第4期296-304,共9页

基　　金：This work was supported by The Special Funds for State Major Basic Research Projects(No. G1999032804)The National Natural Science Foundation of China(Grant No.10471038)

摘　　要：Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for both function and derivatives are obtained.Based on an improved orthogonal expansion in an element, a new error expression of n-degree finite element approximation uh to two-point boundary value problem is derived, and then superconvergence of two order for both function and derivatives are obtained.

关 键 词：有限元分析 误差扩展 正交扩展 边值问题 超收敛性 

分 类 号：O241.82[理学—计算数学]