[1]刘建平,陈一鸣,于春肖,等.一种新的三维位势问题多极边界元离散方法[J].郑州大学学报(工学版),2008,29(02):114-115131.[doi:10.3969/j.issn.1671-6833.2008.02.029]
LIU Jianping,Chen Yiming,YU Chunxiao,et al.A new discrete method for multipolar boundary elements for three-dimensional potential problems[J].Journal of Zhengzhou University (Engineering Science),2008,29(02):114-115131.[doi:10.3969/j.issn.1671-6833.2008.02.029]
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一种新的三维位势问题多极边界元离散方法(
)
《郑州大学学报(工学版)》[ISSN:1671-6833/CN:41-1339/T]
- 卷:
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29
- 期数:
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2008年02期
- 页码:
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114-115131
- 栏目:
-
- 出版日期:
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1900-01-01
文章信息/Info
- Title:
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A new discrete method for multipolar boundary elements for three-dimensional potential problems
- 作者:
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刘建平; 陈一鸣; 于春肖; 等.
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燕山大学,理学院,河北,秦皇岛,066004, 河北科技师范学院,数理系,河北,秦皇岛066004
- Author(s):
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LIU Jianping; Chen Yiming; YU Chunxiao; etc
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- 关键词:
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快速多极展开; 拉普拉斯变换; 位势问题; 基本解
- Keywords:
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- DOI:
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10.3969/j.issn.1671-6833.2008.02.029
- 文献标志码:
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A
- 摘要:
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应用快速多极展开法将三维位势问题的边界方程离散.由于在边界方程基本解中,含有奇异项1/r,影响了多极展开(FMM)的应用,笔者利用拉普拉斯变换,可以转换为指数形式序列.这种方法避免了多极展开的奇异性,得到了新的离散解析式,为理论分析多极边界元提供了一种新的方法.
- Abstract:
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The fast multipole expansion method is applied to discretize the boundary equation of the three-dimensional potential problem. Since the basic solution of the boundary equation contains the singular term 1/r, which affects the application of multipolar expansion (FMM), the Laplace transform can be converted into an exponential form sequence. This method avoids the singularity of multipolar expansion, obtains a new discrete analytic formula, and provides a new method for theoretical analysis of multipolar boundary elements.
更新日期/Last Update:
1900-01-01