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

S.Yu. Reutskiy1

Laboratory of Magnetohydrodynamics, Timurovtzev, 29 D, ap.51, 61142, Kharkov, Ukraine

Computers, Materials & Continua 2005, 2(3), 177-188. https://doi.org/10.3970/cmc.2005.002.177

Abstract

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.

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Cite This Article

S. Reutskiy, "The method of fundamental solutions for eigenproblems with laplace and biharmonic operators," Computers, Materials & Continua, vol. 2, no.3, pp. 177–188, 2005.



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