Numerical comparison of two meshfree methods for acoustic wave scattering

被引：57
作者：
Alves, CJS
Valtchev, SS [1 ]
机构：
[1] Univ Tecn Lisboa, CEMAT, Inst Super Tecn, P-1049001 Lisbon, Portugal
[2] Univ Tecn Lisboa, Dept Matemat, Inst Super Tecn, P-1049001 Lisbon, Portugal
[3] Univ Tecn Lisboa, CEMAT, Inst Super Tecn, P-1049001 Lisbon, Portugal
来源：
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS | 2005年 / 29卷 / 04期
关键词：
method of fundamental solutions; plane waves; acoustic scattering;
D O I：
10.1016/j.enganabound.2004.09.008
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
Density results using an infinite number of acoustic waves allow us to derive meshless methods for solving the homogeneous and the inhomogeneous Helmholtz equation. In this paper we consider the numerical simulation of acoustic scattering problems in a bounded domain using the plane waves method and the method of fundamental solutions. We establish a link between the two methods, namely the plane waves method may be seen as the asymptotic case of the method of fundamental solutions for distant source points. Several numerical tests comparing these methods are presented. (C) 2005 Elsevier Ltd. All rights reserved.
引用
收藏
页码：371 / 382
页数：12
相关论文
共 17 条
[1]  
Alves CJS, 2002, ADV BOUND ELEM, V13, P67
[2]  
ALVES CJS, 2001, ICES 03 C P CD ROM
[3]  
ALVES CJS, UNPUB ADV COMPUT MAT
[4]   FUNDAMENTAL-SOLUTIONS METHOD FOR ELLIPTIC BOUNDARY-VALUE PROBLEMS [J].
BOGOMOLNY, A .
SIAM JOURNAL ON NUMERICAL ANALYSIS, 1985, 22 (04) :644-669
[5]   Plane-wave superpositions defined by orthonormal scalar functions on two- and three-dimensional manifolds [J].
Borzdov, GN .
PHYSICAL REVIEW E, 2000, 61 (04) :4462-4478
[6]   Numerical investigation on convergence of boundary knot method in the analysis of homogeneous Helmholtz, modified Helmholtz, and convection-diffusion problems [J].
Chen, W ;
Hon, YC .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (15) :1859-1875
[7]  
CHEN W, 2001, P 14 NORD SEM COMP M, P117
[8]  
Colton D.L., 1998, INVERSE ACOUSTIC ELE, V93
[9]   The method of fundamental solutions for scattering and radiation problems [J].
Fairweather, G ;
Karageorghis, A ;
Martin, PA .
ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS, 2003, 27 (07) :759-769
[10]   The method of fundamental solutions for elliptic boundary value problems [J].
Fairweather, G ;
Karageorghis, A .
ADVANCES IN COMPUTATIONAL MATHEMATICS, 1998, 9 (1-2) :69-95
12