The Mathematical Institute, University of Oxford, Eprints Archive

Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens

Chandler-Wilde, S. N. and Hewett, D. P. (2014) Wavenumber-explicit continuity and coercivity estimates in acoustic scattering by planar screens. Technical Report. Not specified. (Submitted)

[img]
Preview
PDF - Submitted Version
517kB

Abstract

We study the classical first-kind boundary integral equation reformulations of time-harmonic acoustic scattering by planar sound-soft (Dirichlet) and sound-hard (Neumann) screens. We prove continuity and coercivity of the relevant boundary integral operators (the acoustic single-layer and hypersingular operators respectively) in appropriate fractional Sobolev spaces, with wavenumber-explicit bounds on the continuity and coercivity constants. Our analysis is based on spectral representations for the boundary integral operators, and builds on results of Ha-Duong (Jpn J Ind Appl Math 7:489{513 (1990) and Integr Equat Oper Th 15:427{453 (1992)). [brace not closed]

Item Type:Technical Report (Technical Report)
Subjects:H - N > Numerical analysis
Research Groups:Numerical Analysis Group
ID Code:1857
Deposited By: Helen Taylor
Deposited On:17 Sep 2014 06:54
Last Modified:29 May 2015 19:33

Repository Staff Only: item control page