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.
Stability for the acoustic scattering problem for sound-hard scatterers / G. Menegatti, L. Rondi. - In: INVERSE PROBLEMS AND IMAGING. - ISSN 1930-8337. - 7:4(2013), pp. 1307-1329. [10.3934/ipi.2013.7.1307]
Stability for the acoustic scattering problem for sound-hard scatterers
L. Rondi
2013
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.
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