Layer potentials and boundary value problems for the helmholtz equation in the complement of a thin obstacle

DOI10.1002/mma.1670050126zbMath0527.76076OpenAlexW2015146863MaRDI QIDQ3042743

No author found.

Publication date: 1983

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1670050126

zbMATH Keywords

integral equationsdouble layer potentialpseudo-differential operatorsacoustic diffractioninfinitely thin screenpseudo-Poisson kernels

Mathematics Subject Classification ID

Hydro- and aero-acoustics (76Q05)

Related Items

A direct boundary integral equation method for transmission problems ⋮ Scattering of tidal waves by reefs and spits ⋮ Boundary integral equations for magnetic screens in ℝ³ ⋮ Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\) ⋮ The Neumann problem for the 2-D Helmholtz equation in a multiply connected domain with cuts ⋮ The skew derivative problem in the exterior of open curves in a plane ⋮ Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies ⋮ Wave propagation in a 2-D external domain with cuts ⋮ Method of integral equations in the scalar problem of diffraction on a system consisting of a ``soft and a ``hard screen and an inhomogeneous body ⋮ On the mixed problem for harmonic functions in a 2-D exterior cracked domain with Neumann condition on cracks ⋮ An integral equation method for the electromagnetic scattering from cavities ⋮ A hybrid method for inverse cavity scattering problem for shape ⋮ Boundary element methods for acoustic scattering by fractal screens ⋮ A hypersingular boundary integral method for two-dimensional screen and crack problems ⋮ The Neumann problem in a 2-D exterior domain with cuts and singularities at the tips ⋮ An augmented galerkin procedure for the boundary integral method applied to two-dimensional screen and crack problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Zum Dirichlet-Problem der Helmholtzschen Schwingungsgleichung für ein gestaffeltes Streckengitter
• Zum Neumann-Problem der Helmholtzschen Schwingungsgleichung für ein gestaffeltes Streckengitter
• Scattering theory for the d'Alembert equation in exterior domains
• The Dirichlet problem for the two-dimensional Helmholtz equation for an open boundary
• Pseudo-differential operators and non-elliptic boundary problems
• Comportement d'un opérateur pseudo-différentiel sur une variété à bord. I: La propriété de transmission, II: Pseudo-noyaux de Poisson
• Ein numerisches Verfahren zur Lösung des Neumannschen Außenraumproblems für die Helmholtzsche Schwingungsgleichung
• Diskrete Konvergenz linearer Operatoren. I
• Boundary problems for pseudo-differential operators
• Diskrete Konvergenz linearer Operatoren. II
• On the integral equation method for the plane mixed boundary value problem of the Laplacian
• An integral equation approximation of the mixed problem for the laplacian in R³
• Layer potentials and acoustic diffraction
• A BOUNDARY VALUE PROBLEM FOR THE ELLIPTIC EQUATION OF SECOND ORDER IN A DOMAIN WITH A NARROW SLIT. 1. THE TWO-DIMENSIONAL CASE
• Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential
• INTEGRAL EQUATIONS FOR THE EXTERIOR ACOUSTIC PROBLEM
• The application of integral equation methods to the numerical solution of some exterior boundary-value problems
• Boundary Integral Equations for the Three-Dimensional Helmholtz Equation
• On the Theory of Diffraction by an Aperture in an Infinite Plane Screen. I
• On the Theory of Diffraction by an Aperture in an Infinite Plane Screen. II.

This page was built for publication: Layer potentials and boundary value problems for the helmholtz equation in the complement of a thin obstacle