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COMPUTATIONAL METHODS FOR ACOUSTICS PROBLEMS
Edited by: F. Magoulès
Fast Frequency Response Function Computation by Model Reduction Methods
K.U. Leuven, Department of Computer Science, Leuven, Belgium
K. Meerbergen, "Fast Frequency Response Function Computation by Model Reduction Methods", in F. Magoulès, (Editor), "Computational Methods for Acoustics Problems", Saxe-Coburg Publications, Stirlingshire, UK, Chapter 9, pp 233-262, 2008. doi:10.4203/csets.18.9
Keywords: algebraic model reduction, Arnoldi method, Padé via Lanczos method, Krylov methods, iterative linear system solver, modal truncation.
This chapter reviews numerical methods for efficiently computing frequency response functions. The focus is on the Padé via Lanczos and Arnoldi methods and their application to vibration problems, which may lead to significant speed-ups. Examples are given to illustrate the theory, as well as a bibliographical note for further study.
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