The Method of External Sources (MES) for Eigenvalue Problems with Helmholtz Equation
S.Yu. Reutskiy

doi:10.3970/cmes.2006.012.027
Source CMES: Computer Modeling in Engineering & Sciences, Vol. 12, No. 1, pp. 27-40, 2006
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Keywords eigenvalue problem, Helmholtz equation, resonance, external excitation.
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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