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. (27th December 2013)

• Record Type: Journal Article
• Authors: Rumpler, R.; Göransson, P.; Deü, J.‐F.
• Is Part Of: International journal for numerical methods in engineering. Volume 97:Number 10(2014)
• Page Start: 759
• Page End: 784
• Publication Date: 2013-12-27
• Subjects: Numerical analysis -- Periodicals; Engineering mathematics -- Periodicals; 620.001518
• DOI: 10.1002/nme.4609
• Languages: English
• ISSNs: 0029-5981

Abstract

<abstract abstract-type="main" id="nme4609-abs-0001"> <title>SUMMARY</title> <p id="nme4609-para-0001">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 &amp; Sons, Ltd.</p> </abstract>