Abstract
The paper aims to evaluate the performance of the Lagrange-based finite element method and the non-uniform rational B-splines isogeometric analysis of time-harmonic acoustic exterior scattering problems using high-order local absorbing boundary conditions, in particular based on the Karp's and Wilcox's far-field expansions. The analysis of accuracy and convergence of both methods is achieved by observing the effect of the order of the approximating polynomial, the number of degrees of freedom, the wave number, and the absorbing boundary conditions tuning parameters. It is concluded that, regardless of the polynomial order, IGA provides a higher accuracy per degree of freedom compared to the traditional Lagrange-based finite element method.
Description
© 2021 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/ licenses/by/4.0/), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Publisher
Taylor and Francis Ltd.
Date of publication
Spring 4-12-2021
Language
english
Persistent identifier
http://hdl.handle.net/10950/4435
Document Type
Article
Recommended Citation
Dsouza, S.M.; Khajah, T.; Antoine, X.; Bordas, S.P.A.; and Natarajan, S., "Non Uniform Rational B-Splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions" (2021). Mechanical Engineering Faculty Publications and Presentations. Paper 26.
http://hdl.handle.net/10950/4435