On surface radiation conditions for high-frequency wave scattering
type: Item
instance of: scholarly article
title: On surface radiation conditions for high-frequency wave scattering
zbMATH Open document ID: 1139.78004
author: Andreas Atle
author: Björn Engquist
published in: Journal of Computational and Applied Mathematics
publication date: 2007-06-04T00:00:00Z
review text: The authors deal with an approach to high-frequency wave scattering problems, where on surface radiation conditions (OSRC) are used in order to obtain the potential without solving large systems of linear equations. The proposed approach to derive an OSRC is based, assuming that the curvature is locally constant, on the use of the analytical solution on a circular cylinder (in 2D) or a sphere (in 3D) and the approximations of the logarithmic derivatives of the corresponding Hankel functions. The approximation of the logarithmic derivative is also used for deriving a generalized physical optics approximation for Dirichlet and Neumann boundary conditions. Computations for simple objects corresponding to all different approximations introduced in the paper are presented.
Mathematics Subject Classification ID: 78A40
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 33C10
zbMATH DE Number: 5161205
zbMATH Keywords: logarithmic derivative
zbMATH Keywords: on surface radiation condition
zbMATH Keywords: physical optics
zbMATH Keywords: acoustics
zbMATH Keywords: electromagnetics
reviewed by: Dmitry Shepelsky
MaRDI profile type: Publication
full work available at URL: j.cam.2006.02.045
OpenAlex ID: W2164999760
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DOI: 10.1016/J.CAM.2006.02.045
description: scientific article; zbMATH DE number 5161205