Numerical Calculation of Eigensolutions of 3D Shapes Using the Method of Fundamental Solutions

被引：16
|
作者：
Antunes, Pedro R. S. [1 ]
机构：
[1] Univ Lisbon, Grp Math Phys, P-1649003 Lisbon, Portugal
来源：
NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS | 2011年 / 27卷 / 06期
关键词：
meshfree methods; method of fundamental solutions; room acoustics; acoustic resonance; BOUNDARY; EIGENVALUES; SCATTERING;
D O I：
10.1002/num.20594
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, we study the application of the Method of Fundamental Solutions (MFS) for the calculation of eigenfrequencies and eigenmodes in two and three-dimensional domains. We address some mathematical results about properties of the single layer operator related to the eigenfrequencies. Moreover, we propose algorithms for the distribution of the collocation and source points of the MFS in three-dimensional domains which is an extension of the choices considered by Alves and Antunes (CMC 2(2005), 251-266) for the two-dimensional case. Also the application of the Plane Waves Method is investigated. Several examples with Dirichlet and Neumann boundary conditions are considered to illustrate the performance of the proposed methods. (C) 2010 Wiley Periodicals, Inc. Numer Methods Partial Differential Eq 27: 1525-1550, 2011
引用
收藏
页码：1525 / 1550
页数：26
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