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Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems
Khajah, Tahsin; Antoine, Xavier; Bordas, Stéphane
2016
 

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Keywords :
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.
Disciplines :
Mechanical engineering
Author, co-author :
Khajah, Tahsin
Antoine, Xavier
Bordas, Stéphane ;  University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Engineering Research Unit
Language :
English
Title :
Isogeometric finite element analysis of time-harmonic exterior acoustic scattering problems
Publication date :
06 October 2016
Focus Area :
Computational Sciences
European Projects :
FP7 - 279578 - REALTCUT - Towards real time multiscale simulation of cutting in non-linear materials with applications to surgical simulation and computer guided surgery
Funders :
ERC RealTCut
CE - Commission Européenne [BE]
Commentary :
We like to thank the support we received from ERC RealTCut to complete this study.
Available on ORBilu :
since 18 October 2016

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