最小支集样条小波有限元  

MINIMUM SUPPORT SPLINE WAVELET FINITE ELEMENT

作　　者：金坚明[1] 徐应祥[1] 薛鹏翔[1] 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070

出　　处：《计算数学》2006年第1期89-112,共24页Mathematica Numerica Sinica

摘　　要：本文认真分析研究了最小支集样条小波及其有关性质,用以张量积形式构造的二维小波建立了最小支集样条小波插值函数,讨论了其相关的性质,随后用最小支集样条小波有限元法去解弹性薄板小挠度问题,给出了数值解的误差阶,最后列举了一个数值例子．In this paper, minimum support spline wavelet and it＇s character were discussed carefully. Minimum support spline wavelet interpolation function was constructed by two-dimensional wavelet of tensor product form, and it＇s character was researched. Then, minimum support spline wavelet finite element was used to solve the deflection problem of elastic thin plate. The error order was analysed. A numerical example was given at last.

关 键 词：最小支集样条小波函数 插值函数 弹性薄板 挠度 

分 类 号：O241.82[理学—计算数学]