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

Source CMES: Computer Modeling in Engineering & Sciences, Vol. 12, No. 1, pp. 27-40, 2006
Download Full length paper in PDF format. Size = 182,216 bytes
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.
PDF download PDF