## 留言板

 引用本文: 向家伟, 陈雪峰, 李锡夔. 基于区间三次Hermite样条小波的Poisson方程数值求解方法[J]. 应用数学和力学, 2009, 30(10): 1243-1250.
XIANG Jia-wei, CHEN Xue-feng, LI Xi-kui. Numerical Solution of Poisson Equation by Using Wavelet Bases of Hermite Cubic Splines on the Interval[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1243-1250. doi: 10.3879/j.issn.1000-0887.2009.10.012
 Citation: XIANG Jia-wei, CHEN Xue-feng, LI Xi-kui. Numerical Solution of Poisson Equation by Using Wavelet Bases of Hermite Cubic Splines on the Interval[J]. Applied Mathematics and Mechanics, 2009, 30(10): 1243-1250.

## 基于区间三次Hermite样条小波的Poisson方程数值求解方法

##### doi: 10.3879/j.issn.1000-0887.2009.10.012

###### 作者简介:向家伟(1974- ),男,湖南辰溪人,副教授,博士(联系人.E-mail:wxw8627@163.com).
• 中图分类号: O351.2

## Numerical Solution of Poisson Equation by Using Wavelet Bases of Hermite Cubic Splines on the Interval

• 摘要: 提出一种新的求解Poisson方程的小波有限元方法，采用区间三次Hermite样条小波基作为多尺度有限元插值基函数，并详细讨论了小波有限元提升框架．由于小波基按照给定的内积正交，可实现相应的多尺度嵌套逼近小波有限元求解方程，在不同尺度上的插值基之间完全解耦和部分解耦．数值算例表明在求解Poisson方程时，该方法具有高的效率和精度．
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##### 出版历程
• 收稿日期:  2009-05-05
• 修回日期:  2009-08-23
• 刊出日期:  2009-10-15

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