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

1.
College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, P. R. China

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．
- 紧支撑 /
- 非张量积 /
- 二维小波 /
- 插值函数 /
- 弹性薄板 /
- 挠度 /
- 有限元
Abstract: 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 constructed, 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.
- compactly supported /
- non-tensor product /
- two dimension wavelet /
- interpolation function /
- elastic thin plate /
- deflection /
- finite element

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