μ-diff: An open-source Matlab toolbox for computing multiple scattering problems by disks

B Thierry, X Antoine, C Chniti, H Alzubaidi - Computer Physics …, 2015 - Elsevier
The aim of this paper is to describe a Matlab toolbox, called μ-diff, for modeling and
numerically solving two-dimensional complex multiple scattering by a large collection of …

Formulation and accuracy of on-surface radiation conditions for acoustic multiple scattering problems

H Alzubaidi, X Antoine, C Chniti - Applied Mathematics and Computation, 2016 - Elsevier
The aim of this paper is (1) to address an extension of the On-Surface Radiation Condition
(OSRC) method to multiple scattering by a cluster of convex obstacles and (2) to analyze the …

Acoustic multiple scattering using recursive algorithms

FA Amirkulova, AN Norris - Journal of Computational Physics, 2015 - Elsevier
Acoustic multiple scattering by a cluster of cylinders in an acoustic medium is considered. A
fast recursive technique is described which takes advantage of the multilevel Block Toeplitz …

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) …

Global field performance of monopile-supported offshore wind turbines with sinusoidal layouts using innovative combined grating conditions

H Ge, B Liang, L Zhang, Z Wang, Z Li - Physics of Fluids, 2022 - pubs.aip.org
For the global performance of monopile wind farms, the desired wave field distribution using
traditional layout methods is hard to obtain. In this study, the investigation aims to efficiently …

Localization of small obstacles from back-scattered data at limited incident angles with full-waveform inversion

H Barucq, F Faucher, H Pham - Journal of Computational Physics, 2018 - Elsevier
We investigate numerically the inverse problem of locating small circular obstacles in a
homogeneous medium from multi-frequency back-scattered data limited to four angles of …

A numerical approach for the Poisson equation in a planar domain with a small inclusion

L Chesnel, X Claeys - BIT Numerical Mathematics, 2016 - Springer
We consider the Poisson equation in a domain with a small inclusion. We present a simple
numerical method, based on asymptotic analysis, which allows to approximate robustly the …

Numerical robustness of single-layer method with Fourier basis for multiple obstacle acoustic scattering in homogeneous media

H Barucq, J Chabassier, H Pham, S Tordeux - Wave Motion, 2018 - Elsevier
We investigate efficient methods to simulate the multiple scattering of obstacles in
homogeneous media. With a large number of small obstacles on a large domain, optimized …

Dynamic Green's functions for multiple circular inclusions with imperfect interfaces using the collocation multipole method

WM Lee, JT Chen, WM Young - Engineering Analysis with Boundary …, 2018 - Elsevier
This paper presents a semi-analytical approach to solve anti-plane dynamic Green's
functions for an elastic infinitely extended isotropic solid (matrix) containing multiple circular …

Numerical approximation of the Poisson problem with small holes, using augmented finite elements and defective boundary conditions.

M Boulakia, C Grandmont, F Lespagnol, P Zunino - 2023 - inria.hal.science
We consider the Poisson problem in a domain with small holes, as a template for developing
efficient and accurate numerical approximation schemes for partial differential equations …