Open Access

ARTICLE

The Method of External Sources (MES) for Eigenvalue Problems with Helmholtz Equation

S.Yu. Reutskiy¹

1 Magnetism division Institute of Electrodynamics National Academy of Science of Ukraine, Industrialnaya St.,19, 61106, Kharkov, Ukraine

Computer Modeling in Engineering & Sciences 2006, 12(1), 27-40. https://doi.org/10.3970/cmes.2006.012.027

Abstract

In this paper a new boundary method for eigenproblems with the Helmholtz equation 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. The method shows a high precision in simply and multiply connected domains and does not generate spurious eigenvalues. The results of the numerical experiments justifying the method are presented.

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Keywords

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