vibro-Lanczos, a symmetric Lanczos solver for vibro-acoustic simulations
Umut Tabak (TU Delft - Mechanical Engineering)
Daniel J. Rixen (Technische Universität München)
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Abstract
An efficient symmetric Lanczos method for the solution of vibro-acoustic eigenvalue problems is presented in this paper. Although finite element discretization results in real but nonsymmetric system matrices, we show that an efficient iteration scheme on a symmetric representation can be built up by using a transformation matrix. In order to decrease the numerical costs of the orthogonalizations performed, we propose to use a partial orthogonalization scheme for the symmetric case. The proposed method is tested on two large problems in order to demonstrate its efficiency and accuracy.