Iterative solution of high-order boundary element method for acoustic problems

Author

Li, Tianyun ; Huang, Qibai ; Tianyun Li

Author_Institution

State Key Lab. of Digital Manuf. Equip. & Technol., Huazhong Univ. of Sci. & Technol., Wuhan, China

fYear

2011

fDate

26-29 Sept. 2011

Firstpage

181

Lastpage

185

Abstract

A high-order boundary element method (BEM) for acoustic problems is presented in this paper. This method is based on the improved Burton-Miller formulation with high-order basis functions. The improved formulation successfully overcomes non-unique problems, and avoids the numerical difficulty of evaluating the hypersingular integral. It leads to the numerical implementations more efficient. Furthermore, the generalized minimal residual method (GMRES) and the efficient approximate inverse preconditioner are applied to accelerate the iterative solution of the BEM system. Several numerical examples clearly demonstrate the accuracy, efficiency and potentially application of the developed method for solving acoustic problems.

Keywords

acoustics; boundary-elements methods; convergence; iterative methods; BEM; Burton-Miller formulation; acoustic problems; convergence; generalized minimal residual method; high-order basis functions; high-order boundary element method; iterative solution; Accuracy; Acoustics; Boundary element methods; Convergence; Equations; Integral equations; Iterative methods; Burton-Miller formulation; acoustic problems; approximate inverse preconditioner; boundary element method; high-order basis functions;

fLanguage

English

Publisher

ieee

Conference_Titel

Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory (DIPED), 2011 XVth International Seminar/Workshop on

Conference_Location

Lviv

ISSN

pending

Print_ISBN

978-1-4577-0897-8

Type

conf

Filename

6081776