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 …

Bempp-cl: A fast Python based just-in-time compiling boundary element library

T Betcke, M Scroggs - Journal of Open Source Software, 2021 - discovery.ucl.ac.uk
The boundary element method (BEM) is a numerical method for approximating the solution
of certain types of partial differential equations (PDEs) in homogeneous bounded or …

[HTML][HTML] Software frameworks for integral equations in electromagnetic scattering based on Calderón identities

MW Scroggs, T Betcke, E Burman, W Śmigaj… - … & Mathematics with …, 2017 - Elsevier
In recent years there have been tremendous advances in the theoretical understanding of
boundary integral equations for Maxwell problems. In particular, stable dual pairings of …

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 …

Low-frequency room acoustical simulation of a small room with BEM and complex-valued surface impedances

MC Soares, EB Carneiro, RA Tenenbaum, PH Mareze - Applied Acoustics, 2022 - Elsevier
This study examines practical aspects of room acoustics simulation using the Boundary
Element Method (BEM). The Complex Room 2 of the benchmark for room acoustical …

[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 …

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 …

Modeling frequency shifts of collective bubble resonances with the boundary element method

R Jerez Boudesseul, E van't Wout - … Journal of the Acoustical Society of …, 2023 - pubs.aip.org
Increasing the number of closely packed air bubbles immersed in water changes the
frequency of the Minnaert resonance. The collective interactions between bubbles in a small …

Stable and efficient FEM-BEM coupling with OSRC regularisation for acoustic wave transmission

E van't Wout - Journal of Computational Physics, 2022 - Elsevier
The finite element method (FEM) and the boundary element method (BEM) can numerically
solve the Helmholtz system for acoustic wave propagation. When an object with …

Towards optimal boundary integral formulations of the Poisson–Boltzmann equation for molecular electrostatics

SD Search, CD Cooper… - Journal of Computational …, 2022 - Wiley Online Library
Abstract The Poisson‐Boltzmann equation offers an efficient way to study electrostatics in
molecular settings. Its numerical solution with the boundary element method is widely used …