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

Autor:	Yi Ming Chen, Hai Yuan Yu, Chun Xiao Yu
Rok vydání:	2012
Předmět:	Truncation Fast multipole method Mathematical analysis General Engineering Singular boundary method Boundary knot method Multipole expansion Boundary element method Legendre polynomials Mathematics Spherical multipole moments
Zdroj:	Advanced Materials Research. :426-429
ISSN:	1662-8985
DOI:	10.4028/www.scientific.net/amr.468-471.426
Popis:	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.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::1275fadd722f01f3dd466acce2ff3161 https://doi.org/10.4028/www.scientific.net/amr.468-471.426 Zobrazit plný text záznamu