An Adaptive Fast Multipole Boundary Element Method for Three-dimensional Potential Problems

2006 ◽  
Vol 39 (6) ◽  
pp. 681-691 ◽  
Author(s):  
Liang Shen ◽  
Yijun J. Liu
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Fast Multipole ◽  
Potential Problems ◽  
Element Method

A Fast Multipole Boundary Element Method Based on Legendre Series for Three-Dimensional Potential Problems

2012 ◽  
Vol 468-471 ◽  
pp. 426-429
Author(s):  
Chun Xiao Yu ◽  
Hai Yuan Yu ◽  
Yi Ming Chen
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Three Dimensional ◽  
Multipole Expansion ◽  
Fundamental Solutions ◽  
Fast Multipole ◽  
Legendre Series ◽  
Truncation Errors ◽  
Potential Problems ◽  
Element Method

Vectorization expressions of a Fast Multipole Boundary Element Method (FM-BEM) based on Legendre series are presented for three-dimensional (3-D) potential problems. The formulas are applied to the expression of fundamental solutions for the Boundary Element Method(BEM). Truncation errors of the multipole expansion and local expansion are deduced and analyzed. It shows that the errors can be controlled by truncation terms.

scholarly journals A topology optimisation for three-dimensional acoustics with the level set method and the fast multipole boundary element method

2014 ◽  
Vol 1 (4) ◽  
pp. CM0039-CM0039 ◽  
Author(s):  
Hiroshi ISAKARI ◽  
Kohei KURIYAMA ◽  
Shinya HARADA ◽  
Takayuki YAMADA ◽  
Toru TAKAHASHI ◽  
...  
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Level Set Method ◽  
Level Set ◽  
Three Dimensional ◽  
Topology Optimisation ◽  
Fast Multipole ◽  
Element Method
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