TY - EJOU AU - Reutskiy, S.Yu. TI - The Method of External Sources (MES) for Eigenvalue Problems with Helmholtz Equation T2 - Computer Modeling in Engineering \& Sciences PY - 2006 VL - 12 IS - 1 SN - 1526-1506 AB - 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. KW - eigenvalue problem KW - Helmholtz equation KW - resonance KW - external excitation DO - 10.3970/cmes.2006.012.027