| 具有样条对偶的散度自由小波 |
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| 引用本文： | 赵军健,张涛.具有样条对偶的散度自由小波[J].北京工业大学学报,2009,35(11):1573-1578. |
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| 作者姓名： | 赵军健 张涛 |
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| 作者单位： | 北京工业大学,应用数理学院,北京,100124;北京工业大学,应用数理学院,北京,100124 |
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| 基金项目： | 国家自然科学基金，北京市自然科学基金 |
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| 摘 要： | 选取2对在弱对偶意义下满足微分关系的B-样条作为尺度函数,构造了L2(n)n上具有样条对偶的散度自由单小波,证明了不可压缩流体向量场在弱对偶意义下的投影保持散度自由性质,并给出了具体的例子.
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| 关 键 词： | 散度自由小波 弱对偶 B-样条 |
Divergence-free Wavelets With Spline Duals |
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| ZHAO Jun-jian,ZHANG Tao.Divergence-free Wavelets With Spline Duals[J].Journal of Beijing Polytechnic University,2009,35(11):1573-1578. |
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| Authors: | ZHAO Jun-jian ZHANG Tao |
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| Abstract: | Divergence-free wavelets with spline duals in L~2(R~n)~n are constructed by using two pairs of B-splines with some differential relations as the scaling functions,which are in the sense of mild dual condition.Furthermore,it is proved that the projection of fin incompressible flow field remains divergence-free property.Finally,a specific example is given. |
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| Keywords: | divergence-free wavelets mild dual B-spline |
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