[1]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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Journal of Zhengzhou University (Engineering Science)[ISSN
1671-6833/CN
41-1339/T] Volume:
29
Number of periods:
2008年02期
Page number:
114-115131
Column:
Public date:
1900-01-01
- Title:
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A new discrete method for multipolar boundary elements for three-dimensional potential problems
- Author(s):
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LIU Jianping; Chen Yiming; YU Chunxiao; etc
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- Keywords:
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- CLC:
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- DOI:
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10.3969/j.issn.1671-6833.2008.02.029
- 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.