Integral equation methods for scattering from an impedance crack.

DOI10.1016/S0377-0427(03)00586-7zbMath1041.65094OpenAlexW2050792229MaRDI QIDQ1412823

Rainer Kress, Kuo-Ming Lee

Publication date: 25 November 2003

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(03)00586-7

zbMATH Keywords

scatteringHelmholtz equationquadrature methodCollocation methodhypersingular operatordouble layer methodImpedance crackIntegral equation methodssingle layer method

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods applied to problems in optics and electromagnetic theory (78M15) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items

On the numerical solution of a boundary value problem in the plane elasticity for a double-connected domain, The method of integral equation for scattering problem with a mixed crack, Application of the linear sampling method to identify cracks with impedance boundary conditions, Application of MUSIC algorithm for a fast identification of small perfectly conducting cracks in limited-aperture inverse scattering problem, Acoustic scattering by impedance screens/cracks with fractal boundary: Well-posedness analysis and boundary element approximation, Unnamed Item, Inverse scattering problem from an impedance crack via a composite method, The factorization method for a penetrable cavity scattering with interior near-field measurements, On the application of MUSIC algorithm for identifying short sound-hard arcs in limited-view inverse acoustic problem, Asymptotic error expansions for hypersingular integrals, Transmission scattering problem via a DtN map, Boundary Galerkin method of a skew-derivative problem in the exterior of an open arc based on Chebyshev polynomials, Richardson extrapolation on some recent numerical quadrature formulas for singular and hypersingular integrals and its study of stability, Inverse scattering problem for an impedance crack, Mathematical basis for a mixed inverse scattering problem, Boundary value problem for the Helmholtz equation outside cuts on the plane with boundary conditions of the third kind, Reconstruction of cracks of different types from far‐field measurements, Boundary element methods for acoustic scattering by fractal screens, A new hybrid integral representation for frequency domain scattering in layered media, Nodal-Type Newton-Cotes Rules for Fractional Hypersingular Integrals, The factorization method for a partially coated cavity in inverse scattering

Cites Work

• A fast algorithm for Prandtl's integro-differential equation
• A Nyström method for boundary integral equations in domains with corners
• Numerical analysis for integral and related operator equations.
• Linear integral equations.
• Inverse acoustic and electromagnetic scattering theory.
• On integral equations of the first kind with logarithmic kernels
• On the numerical solution of a hypersingular integral equation in scattering theory
• On the numerical solution of the direct scattering problem for an open sound-hard arc
• Inverse scattering from an open arc
• The linear sampling method for cracks
• On the numerical solution of a hypersingular integral equation for elastic scattering from a planar crack
• Crack Singularities for General Elliptic Systems
• Inverse elastic scattering from a crack
• The Malyuzhinets theory for scattering from wedge boundaries: a review.