scholarly journals Corner treatments for high-order local absorbing boundary conditions in high-frequency acoustic scattering

2020 ◽  
Vol 401 ◽  
pp. 109029 ◽  
Author(s):  
A. Modave ◽  
C. Geuzaine ◽  
X. Antoine
Keyword(s):  
Boundary Conditions ◽  
High Frequency ◽  
Acoustic Scattering ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary

scholarly journals B-Spline FEM for Time-Harmonic Acoustic Scattering and Propagation

2019 ◽  
Vol 27 (03) ◽  
pp. 1850059 ◽  
Author(s):  
Tahsin Khajah ◽  
Xavier Antoine ◽  
Stéphane P. A. Bordas
Keyword(s):  
High Frequency ◽  
Outer Boundary ◽  
Acoustic Scattering ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary ◽  
B Spline ◽  
Time Harmonic ◽  
Frequency Regime ◽  
Very High Frequencies

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.

High order local absorbing boundary conditions for acoustic and elastic scattering

2020 ◽  
Vol 148 (4) ◽  
pp. 2451-2451
Author(s):  
Vianey Villamizar ◽  
Tahsin Khajah ◽  
Sebastian Acosta ◽  
Dane Grundvig ◽  
Jacob Badger ◽  
...  
Keyword(s):  
Elastic Scattering ◽  
Boundary Conditions ◽  
Absorbing Boundary Conditions ◽  
High Order ◽  
Absorbing Boundary
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