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A finite element approach combining a reduced‐order system, Padé approximants, and an adaptive frequency windowing for fast multi‐frequency solution of poro‐acoustic problems
Author(s) -
Rumpler R.,
Göransson P.,
Deü J.F.
Publication year - 2013
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.4609
Subject(s) - discretization , poromechanics , finite element method , frequency domain , reduction (mathematics) , range (aeronautics) , low frequency , modal , mathematics , algorithm , computer science , acoustics , mathematical optimization , mathematical analysis , engineering , physics , geometry , materials science , structural engineering , porous medium , geotechnical engineering , polymer chemistry , aerospace engineering , telecommunications , porosity
SUMMARY In this work, a solution strategy is investigated for the resolution of multi‐frequency structural‐acoustic problems including 3D modeling of poroelastic materials. The finite element method is used, together with a combination of a modal‐based reduction of the poroelastic domain and a Padé‐based reconstruction approach. It thus takes advantage of the reduced‐size of the problem while further improving the computational efficiency by limiting the number of frequency resolutions of the full‐sized problem. An adaptive procedure is proposed for the discretization of the frequency range into frequency intervals of reconstructed solution. The validation is presented on a 3D poro‐acoustic example. Copyright © 2013 John Wiley & Sons, Ltd.