TY - JOUR A1 - Wagner, Marcus A1 - Pinsky, Peter M. A1 - Oberai, Assad A1 - Malhotra, Manish T1 - A Krylov subspace projection method for simultaneous solution of Helmholtz problems at multiple frequencies JF - Computer Methods in Applied Mechanics and Engineering N2 - A Krylov subspace projection method which provides simultaneous solutions of the Helmholtz equation at multiple frequencies in one solution step is presented. The projector is obtained with an unsymmetric block Lanczos algorithm applied to a transfer function derived from a finite element discretization. This approach is equivalent to a matrix-valued Padé approximation of the transfer function. The proposed method is an extension of the formulation presented in [J. Comput. Acoust. 8 (2000) 223] to unsymmetric systems and allows the treatment of a much wider range of practical problems, including near-field and fluid–structure interaction computations KW - Multiple-frequency solution KW - Krylov subspace KW - Lanczos algorithm KW - Padé approximation KW - Helmholtz equation KW - Dirichlet-to-Neumann map KW - Acoustics Y1 - 2003 U6 - https://doi.org/10.1016/S0045-7825(03)00429-8 VL - 192 IS - 41-42 SP - 4609 EP - 4640 PB - Elsevier ER -