3-DIMENSIONAL EIGENVALUE ANALYSIS OF THE HELMHOLTZ-EQUATION BY MULTIPLE RECIPROCITY BOUNDARY-ELEMENT METHOD

被引：17

作者：

KAMIYA, N ^{[1
]}

ANDOH, E ^{[1
]}

NOGAE, K ^{[1
]}

机构：

[1] NAGOYA UNIV,DEPT MECHANO INFORMAT & SYST ENGN,NAGOYA 46401,JAPAN

来源：

ADVANCES IN ENGINEERING SOFTWARE | 1993年 / 16卷 / 03期

关键词：

EIGENVALUE ANALYSIS; HELMHOLTZ EQUATION; BOUNDARY ELEMENT METHOD; MULTIPLE RECIPROCITY METHOD;

D O I：

10.1016/0965-9978(93)90018-O

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The eigenvalue of the three-dimensional Helmholtz equation is determined efficiently by extending the previously developed method for the two-dimensional problem. Boundary integral equation is formulated in the realm of the multiple reciprocity method, using higher order fundamental solutions for the Laplace equation; yielding polynomial coefficient matrices in terms of unknown wavenumber (eigenvalue). The Newton iteration method with the help of LU decomposition is employed to search eigenvalue, which can reduce the computational task significantly.

引用

页码：203 / 207

页数：5

共 6 条

[1] A NOTE ON MULTIPLE RECIPROCITY INTEGRAL FORMULATION FOR THE HELMHOLTZ-EQUATION [J].