| 基于小波有限元的平面问题求解方法 |
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| 引用本文： | 谭德坤,孙辉,付雪峰.基于小波有限元的平面问题求解方法[J].河北工程大学学报,2008,25(3):106-109,112. |
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| 作者姓名： | 谭德坤 孙辉 付雪峰 |
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| 作者单位： | 南昌工程学院计算机系 |
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| 基金项目： | 国家自然科学基金，江西省科技攻关项目 |
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| 摘 要： | 利用B-样条小波的性质,以小波尺度函数作为插值函数,构造了常用的三角形和矩形小波单元,在此基础上,推导出了利用小波有限元求解平面问题的计算公式,为平面问题的求解提供了一种新的计算方法。数值算例表明,与理论解及商用软件Ansys的分析结果相比较,本文构造的小波单元求解方法具有计算精度高,收敛比较快的特点。
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| 关 键 词： | 小波有限元 B-样条小波 尺度函数 平面问题 |
| 收稿时间： | 2008/6/10 0:00:00 |
A method of solving plane problems based on B-Spline wavelet finite element |
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| Authors: | TAN De-kun SUN Hui and FU Xue-feng |
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| Affiliation: | Department of Computer Science and Technology,Nanchang Institute of Technology,Nanchang 330099,China;College of Mechanical and Electric Engineering,Nanchang University,Nanchang 330075,China;Department of Computer Science and Technology,Nanchang Institute of Technology,Nanchang 330099,China;Department of Computer Science and Technology,Nanchang Institute of Technology,Nanchang 330099,China |
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| Abstract: | In this paper,wavelet scaling functions are used to construct the triangular and rectangular wavelet element by analyzing the characters of B-spline wavelet.Based on this,the computation expressions for solving the plane problems are presented,which is a new computing method for solving the plane problems.The results obtained in this paper are compared with those by theories and by Ansys,the numerical example illustrate that the wavelet-based element method has better convergence and higher accuracy. |
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| Keywords: | wavelet finite element B-spline wavelet scaling functions plane problems |
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