Integral equation methods for scattering from an impedance crack.
type: Item
instance of: scholarly article
title: Integral equation methods for scattering from an impedance crack.
zbMATH Open document ID: 1041.65094
DOI: 10.1016/S0377-0427(03)00586-7
author: Rainer Kress
author: Kuo-Ming Lee
published in: Journal of Computational and Applied Mathematics
publication date: 2003-11-25T00:00:00Z
review text: The authors investigate the uniqueness and existence for the scattering problem for time-harmonic waves from an impedance crack in two dimensions. They combine a single and double layer potential approach in a Hölder space setting leading to a system of integral equations that contains a hypersingular operator. Its numerical solution via a fully discrete collocation method based on trigonometric and interpolatory quadrature rules is investigated.
reviewed by: Laura Iulia Aniţa
Mathematics Subject Classification ID: 65N38
Mathematics Subject Classification ID: 35J05
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 78M15
zbMATH DE Number: 2009275
zbMATH Keywords: Helmholtz equation
zbMATH Keywords: Impedance crack
zbMATH Keywords: Collocation method
zbMATH Keywords: Integral equation methods
zbMATH Keywords: single layer method
zbMATH Keywords: double layer method
zbMATH Keywords: quadrature method
zbMATH Keywords: scattering
zbMATH Keywords: hypersingular operator
MaRDI profile type: Publication
cites work: The linear sampling method for cracks
cites work: A fast algorithm for Prandtl's integro-differential equation
cites work: On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
cites work: Inverse acoustic and electromagnetic scattering theory.
cites work: Crack Singularities for General Elliptic Systems
cites work: A Nyström method for boundary integral equations in domains with corners
cites work: Inverse scattering from an open arc
cites work: On the numerical solution of a hypersingular integral equation in scattering theory
cites work: Inverse elastic scattering from a crack
cites work: Linear integral equations.
cites work: On the numerical solution of the direct scattering problem for an open sound-hard arc
cites work: The Malyuzhinets theory for scattering from wedge boundaries: a review.
cites work: Numerical analysis for integral and related operator equations.
cites work: On integral equations of the first kind with logarithmic kernels
full work available at URL: s0377-0427(03)00586-7
OpenAlex ID: W2050792229
description: scientific article; zbMATH DE number 2009275