The method of fundamental solutions for eigenproblems with Laplace and biharmonic operators

被引：0
|
作者：
Reutskiy, SY [1 ]
机构：
[1] Lab Magnetohydrodynam, UA-61142 Kharkov, Ukraine
来源：
CMC-COMPUTERS MATERIALS & CONTINUA | 2005年 / 2卷 / 03期
关键词：
method of fundamental solutions; membranes and plates; free vibration problem;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper a new meshless method for eigenproblems with Laplace and biharmonic operators in simply and multiply connected domains is presented. The solution of an eigenvalue problem is reduced to a sequence of inhomogeneous problems with the differential operator studied. These problems are solved using the method of fundamental solutions. The method presented shows a high precision in simply and multiply connected domains. The results of the numerical experiments justifying the method are presented.
引用
收藏
页码：177 / 188
页数：12
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