NDLI: Recent Development of the Fast Multipole Boundary Element Method for Modeling Acoustic Problems

Content Provider	The American Society of Mechanical Engineers (ASME) Digital Collection
Author	Liu, Yijun Bapat, Milind
Copyright Year	2009
Abstract	Some recent development of the fast multipole boundary element method (BEM) for modeling acoustic wave problems in both 2-D and 3-D domains are presented in this paper. First, the fast multipole BEM formulation for 2-D acoustic wave problems based on a dual boundary integral equation (BIE) formulation is presented. Second, some improvements on the adaptive fast multipole BEM for 3-D acoustic wave problems based on the earlier work are introduced. The improvements include adaptive tree structures, error estimates for determining the numbers of expansion terms, refined interaction lists, and others in the fast multipole BEM. Examples involving 2-D and 3-D radiation and scattering problems solved by the developed 2-D and 3-D fast multipole BEM codes, respectively, will be presented. The accuracy and efficiency of the fast multipole BEM results clearly demonstrate the potentials of the fast multipole BEM for solving large-scale acoustic wave problems that are of practical significance.
Starting Page	513
Ending Page	518
Page Count	6
File Format	PDF
ISBN	9780791843888
DOI	10.1115/IMECE2009-10163
e-ISBN	9780791838631
Volume Number	Volume 15: Sound, Vibration and Design
Conference Proceedings	ASME 2009 International Mechanical Engineering Congress and Exposition
Language	English
Publisher Date	2009-11-13
Publisher Place	Lake Buena Vista, Florida, USA
Access Restriction	Subscribed
Subject Keyword	Errors Radiation scattering Radiation (physics) Scattering (physics) Electromagnetic scattering Integral equations Boundary element methods Acoustics Modeling Waves Tree (data structure)
Content Type	Text
Resource Type	Article

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