| 基于三维弹性问题的多极边界元法核函数分解 |
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| 引用本文： | 王玮玮,徐永春,李娇.基于三维弹性问题的多极边界元法核函数分解[J].数学的实践与认识,2012,42(21):108-113. |
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| 作者姓名： | 王玮玮 徐永春 李娇 |
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| 作者单位： | 河北北方学院理学院数学系,河北张家口,075000 |
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| 基金项目： | 2010张家口市科学技术研究与发展指导计划项目:非线性增生算子方程迭代算法应用 |
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| 摘 要： | 多极边界元法已经成功地应用于大规模工程计算中.得到并且证明了基于三维弹性问题的多极边界元法核函数分解的定理(定理1),完善了多击边界元法的数学理论.
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| 关 键 词： | 多极边界元法 三维弹性问题 核函数 多极展开式 |
The Expansion of the Kernels for Fast Multipole BEM Based on 3D Elastic Problems |
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| WANG Wei-wei
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XU Yong-chun
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LI Jiao.The Expansion of the Kernels for Fast Multipole BEM Based on 3D Elastic Problems[J].Mathematics in Practice and Theory,2012,42(21):108-113. |
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| Authors: | WANG Wei-wei XU Yong-chun LI Jiao |
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| Institution: | (Science College Department of Mathematics,Hebei North University,Zhangjiakou 075028,China) |
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| Abstract: | The Fast Muotipole Element Method(FM-BEM) has been applied to large scale engineering problems successfully.The Theorem of the fast multipole method(FMM) expansions of the kernels for FM-BEM based on 3D Elastic Problems are obtained and proved(Theorem 1),furthermore,the mathematical foundation of the FM-BEM is completed. |
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| Keywords: | fast muotipole boundary element method 3D elasticity problems kernels the expansion of FMM |
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