A fast multipole boundary element method based on higher order elements for analyzing 2-D potential problems

2021 ◽  
Vol 87 ◽  
pp. 65-76
Author(s):  
Bin Hu ◽  
Zongjun Hu ◽  
Cong Li ◽  
Zhongrong Niu ◽  
Xiaobao Li
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Higher Order ◽  
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.

Fast Multipole Boundary Element Method of Potential Problems

2014 ◽  
Vol 9 (1) ◽  
Author(s):  
Yuhuan Cui ◽  
Jingguo Qu ◽  
Aimin Yang ◽  
Yamian Peng
Keyword(s):  
Boundary Element Method ◽  
Boundary Element ◽  
Fast Multipole ◽  
Potential Problems ◽  
Element Method
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