A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles. Extended version - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal Année : 2023

A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles. Extended version

Résumé

In this work we study time-domain sound-soft scattering by small circles. Our goal is to derive an asymptotic model for this problem valid when the size of the particles tends to zero. We present a systematic approach to constructing such models, based on a well-chosen Galerkin discretization of a boundary integral equation. The convergence of the method is achieved by decreasing the asymptotic parameter rather than increasing the number of basis functions. For the case of circular obstacles, we prove the second-order convergence of the field error with respect to the particle size. Our findings are illustrated with numerical experiments.
Fichier principal
Vignette du fichier
report_hal.pdf (1.9 Mo) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03664569 , version 1 (11-05-2022)
hal-03664569 , version 2 (08-06-2023)

Licence

Paternité

Identifiants

  • HAL Id : hal-03664569 , version 2

Citer

Maryna Kachanovska. A new class of uniformly stable time-domain Foldy-Lax models for scattering by small particles. Acoustic sound-soft scattering by circles. Extended version. Multiscale Modeling and Simulation: A SIAM Interdisciplinary Journal, In press. ⟨hal-03664569v2⟩
144 Consultations
101 Téléchargements

Partager

Gmail Facebook X LinkedIn More