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B-Spline FEM for time-harmonic acoustic scattering and propagation

Khajah, Tahsin, Antoine, Xavier and Bordas, Stéphane P. A. ORCID: 2019. B-Spline FEM for time-harmonic acoustic scattering and propagation. Journal of Theoretical and Computational Acoustics 27 (03) , 1850059. 10.1142/S2591728518500597

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We study the application of a B-splines Finite Element Method (FEM) to time-harmonic scattering acoustic problems. The infinite space is truncated by a fictitious boundary and second-order Absorbing Boundary Conditions (ABCs) are applied. The truncation error is included in the exact solution so that the reported error is an indicator of the performance of the numerical method, in particular of the size of the pollution error. Numerical results performed with high-order basis functions (third or fourth order) showed no visible pollution error even for very high frequencies. To prove the ability of the method to increase its accuracy in the high frequency regime, we show how to implement a high-order Padé-type ABC on the fictitious outer boundary. The above-mentioned properties combined with exact geometrical representation make B-Spline FEM a very promising platform to solve high-frequency acoustic problems.

Item Type: Article
Date Type: Published Online
Status: Published
Schools: Engineering
Publisher: World Scientific
ISSN: 2591-7285
Date of First Compliant Deposit: 24 October 2019
Date of Acceptance: 18 September 2018
Last Modified: 11 Nov 2023 20:36

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