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 …

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 …

Efficient numerical solution of acoustic scattering from doubly-periodic arrays of axisymmetric objects

Y Liu, AH Barnett - Journal of Computational Physics, 2016 - Elsevier
We present a high-order accurate boundary-based solver for three-dimensional (3D)
frequency-domain scattering from a doubly-periodic grating of smooth axisymmetric sound …

A highly accurate boundary integral method for the elastic obstacle scattering problem

H Dong, J Lai, P Li - Mathematics of Computation, 2021 - ams.org
Consider the scattering of a time-harmonic plane wave by a rigid obstacle embedded in a
homogeneous and isotropic elastic medium in two dimensions. In this paper, a novel …

Wave-number estimates for regularized combined field boundary integral operators in acoustic scattering problems with Neumann boundary conditions

Y Boubendir, C Turc - IMA Journal of Numerical Analysis, 2013 - academic.oup.com
We study the coercivity properties and the norm dependence on the wave-number k of
certain regularized combined field boundary integral operators that we recently introduced …

Well-posed boundary integral equation formulations and Nyström discretizations for the solution of Helmholtz transmission problems in two-dimensional Lipschitz …

V Dominguez, M Lyon, C Turc - The Journal of Integral Equations and …, 2016 - JSTOR
We present a comparison among the performance of solvers based on Nyström
discretizations of several well-posed boundary integral equation formulations of Helmholtz …

Convolution quadrature methods for time-domain scattering from unbounded penetrable interfaces

I Labarca, LM Faria… - Proceedings of the …, 2019 - royalsocietypublishing.org
This paper presents a class of boundary integral equation methods for the numerical
solution of acoustic and electromagnetic time-domain scattering problems in the presence of …

Schur complement domain decomposition methods for the solution of multiple scattering problems

M Pedneault, C Turc, Y Boubendir - IMA Journal of Applied …, 2017 - academic.oup.com
We present a Schur complement domain decomposition (DD) algorithm for the solution of
frequency domain multiple scattering problems. Just as in the classical DD methods, we (1) …

Boundary integral equation methods for the solution of scattering and transmission 2D elastodynamic problems

V Domínguez, C Turc - IMA Journal of Applied Mathematics, 2022 - academic.oup.com
We introduce and analyse various regularized combined field integral equations (CFIER)
formulations of time-harmonic Navier equations in media with piece-wise constant material …

A plane-wave singularity subtraction technique for the classical Dirichlet and Neumann combined field integral equations

C Pérez-Arancibia - Applied Numerical Mathematics, 2018 - Elsevier
This paper presents expressions for the classical combined field integral equations for the
solution of Dirichlet and Neumann exterior Helmholtz problems on the plane, in terms of …