The boundary element method in acoustics: A survey

S Kirkup - Applied Sciences, 2019 - mdpi.com
The boundary element method (BEM) in the context of acoustics or Helmholtz problems is
reviewed in this paper. The basis of the BEM is initially developed for Laplace's equation …

A review of transparent and artificial boundary conditions techniques for linear and nonlinear Schrödinger equations

In this review article we discuss different techniques to solve numerically the time-dependent
Schrödinger equation on unbounded domains. We present in detail the most recent …

A quasi-optimal non-overlapping domain decomposition algorithm for the Helmholtz equation

Y Boubendir, X Antoine, C Geuzaine - Journal of Computational Physics, 2012 - Elsevier
This paper presents a new non-overlapping domain decomposition method for the
Helmholtz equation, whose effective convergence is quasi-optimal. These improved …

An introduction to operator preconditioning for the fast iterative integral equation solution of time-harmonic scattering problems

X Antoine, M Darbas - Multiscale Science and Engineering, 2021 - Springer
The aim of this paper is to provide an introduction to the improved iterative Krylov solution of
boundary integral equations for time-harmonic scattering problems arising in acoustics …

Generalized combined field integral equations for the iterative solution of the three-dimensional Helmholtz equation

X Antoine, M Darbas - ESAIM: Mathematical Modelling and …, 2007 - cambridge.org
This paper addresses the derivation of new second-kind Fredholm combined field integral
equations for the Krylov iterative solution of tridimensional acoustic scattering problems by a …

Regularized integral equations and fast high‐order solvers for sound‐hard acoustic scattering problems

O Bruno, T Elling, C Turc - International Journal for Numerical …, 2012 - Wiley Online Library
This text introduces the following:(1) new regularized combined field integral equations
(CFIE‐R) for frequency‐domain sound‐hard scattering problems; and (2) fast, high‐order …

Combining analytic preconditioner and fast multipole method for the 3-D Helmholtz equation

M Darbas, E Darrigrand, Y Lafranche - Journal of Computational Physics, 2013 - Elsevier
The paper presents a detailed numerical study of an iterative solution to 3-D sound-hard
acoustic scattering problems at high frequency considering the Combined Field Integral …

Benchmarking preconditioned boundary integral formulations for acoustics

E van 't Wout, SR Haqshenas, P Gélat… - International Journal …, 2021 - Wiley Online Library
The boundary element method (BEM) is an efficient numerical method for simulating
harmonic wave propagation. It uses boundary integral formulations of the Helmholtz …

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

T Khajah, X Antoine, SPA Bordas - Journal of Theoretical and …, 2019 - World Scientific
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 …

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

S Chaillat, M Darbas, F Le Louër - Journal of Computational Physics, 2017 - Elsevier
The fast multipole method is an efficient technique to accelerate the solution of large scale
3D scattering problems with boundary integral equations. However, the fast multipole …