小波理论在无单元方法中权函数研究的应用

基金项目: 国家自然科学基金资助项目(50409008)

Application of Wavelet Theory in Research on Weight Function of Meshless Method

School of Remote Sensing and Information Engineering, Wuhan University, Wuhan 430079, P. R. China;

摘要: 小波理论中多分辨率分析(MRA),可以提供在不同分辨率下分析表达信息的有效途径．基于样条小波多分辨率分析，将无单元中的权函数投影到尺度空间去研究，尝试一种新的权函数研究方法，并给出了算例．
- 无单元 /
- 权函数 /
- 样条小波 /
- 多分辨率分析
Abstract: Multiresolution analysis of wavelet theory can give an effective way to describe the information at various levels of approximations or different resolutions, based on spline wavelet analysis, so weight function is orthonormally projected onto a sequence of closed spline subspaces, and is viewed at various levels of approximations or different resolutions. Now, the useful new way to research weight function is found, and the numerical result is given.
- meshless method /
- weight function /
- spline wavelet /
- multiresolution analysis

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