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

页码：177 / 188

页数：12

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