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Acoustics; Boundary conditions; Degrees of freedom (mechanics); Finite element method; Interpolation; Lagrange multipliers; Absorbing boundary condition
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Full-Text Articles in Mechanical Engineering
Non Uniform Rational B-Splines And Lagrange Approximations For Time-Harmonic Acoustic Scattering: Accuracy And Absorbing Boundary Conditions, S.M. Dsouza, T. Khajah, X. Antoine, S.P.A. Bordas, S. Natarajan
Non Uniform Rational B-Splines And Lagrange Approximations For Time-Harmonic Acoustic Scattering: Accuracy And Absorbing Boundary Conditions, S.M. Dsouza, T. Khajah, X. Antoine, S.P.A. Bordas, S. Natarajan
Mechanical Engineering Faculty Publications and Presentations
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 …