具有紧支撑的非张量积形式二维小波有限元  

Compactly Supported Non-Tensor Product Form Two Dimension Wavelet Finite Element

作　　者：金坚明[1] 薛鹏翔[1] 徐应祥[1] 朱亚莉[1] 扶名福（推荐） 

机构地区：[1]西北师范大学数学与信息科学学院,兰州730070 [2]不详

出　　处：《应用数学和力学》2006年第12期1464-1476,共13页Applied Mathematics and Mechanics

摘　　要：分析论述了构造非张量积形式二维Daubechies小波的几条定理,在此基础上着重构造了具有紧支撑的非张量积形式二维小波,随后用具有紧支撑的非张量积二维小波有限元去解弹性薄板挠度问题,给出了误差阶,最后列举了一个数值例子·Some theorems of compactly supported non-tensor product form two dimension Daubechies wavelet was analysed carefully. Compactly supported non-tensor product form two dimension wavelet was eonstructed, then non-tensor product form two dimension wavelet finite element was used to solve the deflection problem of elastic thin plate. The error order was researched. A numerical example was given at last.

关 键 词：紧支撑 非张量积 二维小波 插值函数 弹性薄板 挠度 有限元 

分 类 号：O242[理学—计算数学]