Galerkin Boundary Element Methods for High-Frequency Multiple-Scattering Problems

2020 ◽  
Vol 83 (1) ◽  
Author(s):  
Fatih Ecevit ◽  
Akash Anand ◽  
Yassine Boubendir
Keyword(s):  
Boundary Element ◽  
Multiple Scattering ◽  
High Frequency ◽  
Boundary Element Methods ◽  
Scattering Problems ◽  
Galerkin Boundary Element Methods

scholarly journals Fast iterative boundary element methods for high-frequency scattering problems in 3D elastodynamics

2017 ◽  
Vol 341 ◽  
pp. 429-446 ◽  
Author(s):  
Stéphanie Chaillat ◽  
Marion Darbas ◽  
Frédérique Le Louër
Keyword(s):  
Boundary Element ◽  
High Frequency ◽  
Boundary Element Methods ◽  
Scattering Problems

scholarly journals Nodal and Divergence-Conforming Boundary-Element Methods Applied to Electromagnetic Scattering Problems

2004 ◽  
Vol 40 (2) ◽  
pp. 1053-1056
Author(s):  
M.M. Afonso ◽  
J.A. Vasconcelos ◽  
R.C. Mesquita ◽  
C. Vollaire ◽  
L. Nicolas
Keyword(s):  
Boundary Element ◽  
Electromagnetic Scattering ◽  
Boundary Element Methods ◽  
Scattering Problems

scholarly journals Boundary element methods for the wave equation based on hierarchical matrices and adaptive cross approximation

2021 ◽  
Author(s):  
Daniel Seibel
Keyword(s):  
Wave Equation ◽  
Boundary Element ◽  
Domain Boundary ◽  
Boundary Element Methods ◽  
Scattering Problems ◽  
Computational Costs ◽  
Adaptive Cross Approximation ◽  
Transient Problems ◽  
Matrix Compression ◽  
Convolution Quadrature Method

AbstractTime-domain Boundary Element Methods (BEM) have been successfully used in acoustics, optics and elastodynamics to solve transient problems numerically. However, the storage requirements are immense, since the fully populated system matrices have to be computed for a large number of time steps or frequencies. In this article, we propose a new approximation scheme for the Convolution Quadrature Method powered BEM, which we apply to scattering problems governed by the wave equation. We use $${\mathscr {H}}^2$$ H 2 -matrix compression in the spatial domain and employ an adaptive cross approximation algorithm in the frequency domain. In this way, the storage and computational costs are reduced significantly, while the accuracy of the method is preserved.

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