Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions

Dsouza, S. M., Khajah, T., Antoine, X, Bordas, S. P. A. ORCID: https://orcid.org/0000-0001-8634-7002 and Natarajan, S. 2021. Non uniform rational B-splines and Lagrange approximations for time-harmonic acoustic scattering: accuracy and absorbing boundary conditions. Mathematical and Computer Modelling of Dynamical Systems 27 (1) , pp. 290-321. 10.1080/13873954.2021.1902355

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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.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Engineering
Publisher:	Taylor & Francis: STM, Behavioural Science and Public Health Titles
ISSN:	1387-3954
Date of First Compliant Deposit:	30 April 2021
Date of Acceptance:	9 March 2021
Last Modified:	07 May 2023 13:26
URI:	https://orca.cardiff.ac.uk/id/eprint/140879

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