TY  - EJOU
AU  - Reutskiy, S.Yu. 

TI  - The method of fundamental solutions for eigenproblems with Laplace and biharmonic operators
T2  - Computers, Materials \& Continua

PY  - 2005
VL  - 2
IS  - 3
SN  - 1546-2226

AB  - 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.
KW  - Method of fundamental solutions
KW  -  Membranes and Plates
KW  -  Free vibration problem

DO  - 10.3970/cmc.2005.002.177