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