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

S.Yu. Reutskiy1
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.

Keywords

eigenvalue problem, Helmholtz equation, resonance, external excitation.

Cite This Article

Reutskiy, S. (2006). The Method of External Sources (MES) for Eigenvalue Problems with Helmholtz Equation. CMES-Computer Modeling in Engineering & Sciences, 12(1), 27–40.



This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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