| 引用本文: | 任钧国.小波边界元法.[J].国防科技大学学报,1996,18(4):1-6.[点击复制] |
| Ren Junguo.Wavelet Boundary Element Method[J].Journal of National University of Defense Technology,1996,18(4):1-6[点击复制] |
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| 小波边界元法 |
| 任钧国 |
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(国防科技大学 航天技术系 湖南 长沙 410073)
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| 摘要: |
| 将边界上的函数展成小波级数，利用循环矩阵方法，从核函数边界上的值，得到离散的积分方程系数矩阵，求解未知的小波级数系数，从而得到边界积分方程近似解，文中计算了一个二维拉普拉斯方程的解。 |
| 关键词: 小波级数，边界元，积分方程 |
| DOI： |
| 投稿日期：1996-05-20 |
| 基金项目: |
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| Wavelet Boundary Element Method |
| Ren Junguo |
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(Department of Aerospace Technology, NUDT, Changsha, 410073)
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| Abstract: |
| The functions on boundary are expanded into wavelet series，and the coefficient matrices are obtained from the values of kernal functions on the boundary using a circulant matrix method. The approximate solution of boundary integral equation is worked out by solving the unknown wavelet coefficients. An example of 2D Laplace equation is given. |
| Keywords: wavelet series, boundary element, integral equation |
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