Implementation of Isogeometric Fast Multipole Boundary Element Methods for 2D Half-Space Acoustic Scattering Problems with Absorbing Boundary Condition

被引：34

作者：

Chen, Leilei ^{[1
]}

Marburg, Steffen ^{[2
]}

Zhao, Wenchang ^{[3
]}

Liu, Cheng ^{[3
]}

Chen, Haibo ^{[3
]}

机构：

[1] Xinyang Normal Univ, Coll Architecture & Civil Engn, Xinyang 464000, Henan, Peoples R China

[2] Tech Univ Munich, Fac Mech Engn, Inst Vibroacoust Vehicles & Machines, Boltzmannstr 15, D-85748 Garching, Germany

[3] Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230026, Anhui, Peoples R China

来源：

JOURNAL OF THEORETICAL AND COMPUTATIONAL ACOUSTICS | 2019年 / 27卷 / 02期

基金：

中国国家自然科学基金;

关键词：

Isogeometric analysis; boundary element method; fast multipole method; half-space acoustics; SENSITIVITY-ANALYSIS; SHAPE OPTIMIZATION; EXACT GEOMETRY; METHOD XIBEM; EQUATION;

D O I：

10.1142/S259172851850024X

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Isogeometric Analysis (IGA), which tries to bridge the gap between Computer Aided Engineering (CAE) and Computer Aided Design (CAD), has been widely proposed in recent research. According to the concept of IGA, this work develops a boundary element method (BEM) using non-Uniform Rational B-Splines (NURBS) as basis functions for the 2D half-space acoustic problems with absorbing boundary condition. Fast multipole method (FMM) is applied to accelerate the solution of an isogeometric BEM (IGA-BEM). Several examples are tested and it is shown that this advancement on isogeometric fast multipole boundary element method improves the accuracy of simulations.

引用

页数：22

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