Wilson元插值误差渐近估计  

Asymptotic Estimation of Interpolation Error for Wilson's Element

作　　者：宋士仓 卢利娟 SONG Shicang;LU Lijuan(School of Mathematics and Statistics,Zhengzhou University,Zhengzhou 450001,China)

机构地区：[1]郑州大学数学与统计学院,河南郑州450001

出　　处：《应用数学》2019年第1期32-38,共7页Mathematica Applicata

基　　金：973项目资助(2012CB025904)

摘　　要：Wilson元是工程界常用的一种有限元计算方法,但在理论分析中插值误差估计的常数只知道存在,不知道具体值.本文给出了在L^2、H^1范数意义下Wilson元在参考单元和一般单元上插值误差渐近估计,导出了主要常数.这种精确的估计为有限元后验误差估计和自适应计算提供保障.As one of the finite element methods, Wilson’s element is used for solving the engineering problem frequently. The constant of the interpolation error is existent, but not explicitly given in theory.In the paper, the main constant of interpolation error for Wilson’s element is derived on the reference rectangle and the general rectangle in the sense of L^2 and H^1 norm. Furthermore, such results can provide effective estimations in the finite element posterior methods and the adaptive computation.

关 键 词：有限元 WILSON元 插值误差估计 

分 类 号：O241.5[理学—计算数学] O242.21[理学—数学]