Stability for the acoustic scattering problem for sound-hard scatterers

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 investigat...

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Bibliographic Details
Published inarXiv.org
Main Authors Menegatti, Giorgio, Rondi, Luca
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 29.01.2013
Subjects
Acoustic scattering
Mathematics - Analysis of PDEs
Scattering
Sound
Stability
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1301.6996