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 …

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 …

Frequency-robust preconditioning of boundary integral equations for acoustic transmission

E van't Wout, SR Haqshenas, P Gélat, T Betcke… - Journal of …, 2022 - Elsevier
The scattering and transmission of harmonic acoustic waves at a penetrable material are
commonly modelled by a set of Helmholtz equations. This system of partial differential …

Wavenumber-explicit analysis for the Helmholtz h-BEM: error estimates and iteration counts for the Dirichlet problem

J Galkowski, EH Müller, EA Spence - Numerische Mathematik, 2019 - Springer
We consider solving the exterior Dirichlet problem for the Helmholtz equation with the h-
version of the boundary element method (BEM) using the standard second-kind combined …

[HTML][HTML] Accelerated Calderón preconditioning for Maxwell transmission problems

A Kleanthous, T Betcke, DP Hewett… - Journal of …, 2022 - Elsevier
We investigate a range of techniques for the acceleration of Calderón (operator)
preconditioning in the context of boundary integral equation methods for electromagnetic …

A well-conditioned combined field integral equation for electromagnetic scattering

VC Le, K Cools - arXiv preprint arXiv:2309.02289, 2023 - arxiv.org
This paper aims to address two issues of integral equations for the scattering of time-
harmonic electromagnetic waves by a perfect electric conductor with Lipschitz continuous …

Boundary integral formulations for acoustic modelling of high-contrast media

E van't Wout, SR Haqshenas, P Gélat, T Betcke… - … & Mathematics with …, 2022 - Elsevier
The boundary element method is an efficient algorithm for simulating acoustic propagation
through homogeneous objects embedded in free space. The conditioning of the system …

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 …

Calderón preconditioning of PMCHWT boundary integral equations for scattering by multiple absorbing dielectric particles

A Kleanthous, T Betcke, DP Hewett… - Journal of Quantitative …, 2019 - Elsevier
We consider the simulation of electromagnetic scattering by single and multiple isotropic
homogeneous dielectric particles using boundary integral equations. Galerkin …

Regularized combined field integral equations for acoustic transmission problems

Y Boubendir, V Dominguez, D Levadoux, C Turc - SIAM Journal on Applied …, 2015 - SIAM
We present a new class of well-conditioned integral equations for the solution of two and
three dimensional scattering problems by homogeneous penetrable scatterers. Our novel …