Stability for the acoustic scattering problem for sound-hard scatterers

TL;DR

This paper investigates the stability of the acoustic scattering problem involving sound-hard scatterers, utilizing Mosco convergence to derive decay estimates and approximation methods for thin obstacles.

Contribution

It introduces a stability analysis framework for sound-hard scatterers with minimal regularity, using Mosco convergence and approximation techniques.

Findings

Established uniform decay estimates for scattered fields.

Analyzed approximation of sound-hard screens by thin obstacles.

Applied Mosco convergence to stability analysis.

Abstract

We study the stability for the direct acoustic scattering problem with sound-hard scatterers with minimal regularity assumptions on the scatterers. The main tool we use for this purpose is the convergence in the sense of Mosco. We obtain uniform decay estimates for scattered fields and we investigate how a sound-hard screen may be approximated by thin sound-hard obstacles.