Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems

Khajah, Tahsin; Antoine, Xavier; Bordas, Stéphane

Reference : Isogeometric finite element analysis of time-harmonic exterior acoustic scattering pr...


	Document type :	E-prints/Working papers : Already available on another site
	Discipline(s) :	Engineering, computing & technology : Mechanical engineering
	Focus Areas :	Computational Sciences
	To cite this reference:	http://hdl.handle.net/10993/28645

Title :	Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems
Language :	English
Author, co-author :	Khajah, Tahsin []
	Antoine, Xavier []
	Bordas, Stéphane [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit >]
Publication date :	6-Oct-2016
Peer reviewed :	No
Keywords :	[en] Isogeometric Analysis ; time-harmonic acoustics ; Scattering ; Helmholtz problem ; High frequency ; pollution error
Abstract :	[en] We present an isogeometric analysis of time-harmonic exterior acoustic problems. The infinite space is truncated by a fictitious boundary and (simple) absorbing boundary conditions are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the isogeometric analysis, in particular of the related pollution error. Numerical results performed with high-order basis functions (third or fourth orders) showed no visible pollution error even for very high frequencies. This property combined with exact geometrical representation makes isogeometric analysis a very promising platform to solve high-frequency acoustic problems.
Funders :	ERC RealTCut
Target :	Researchers ; Professionals ; Students ; General public ; Others
Permalink :	http://hdl.handle.net/10993/28645
Commentary :	We like to thank the support we received from ERC RealTCut to complete this study.
source URL :	https://arxiv.org/abs/1610.01694
Framework Programme / European Project :	FP7 ; 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery

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Open access	Acoustics in IGA.pdf		Publisher postprint	7.85 MB	View/Open

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