Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body

DOI10.1134/S0012266115090128zbMath1331.65166MaRDI QIDQ901889

N. E. Zubov

Publication date: 6 January 2016

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

existenceuniquenessboundary element methodFredholm propertyHelmholtz equationdiffractionsystem of integral equationssemiclassical solutionacoustic plane wavecontinuous invertibilitypartially screened bodysystem of weakly singular integral equationszero index

Mathematics Subject Classification ID

Boundary element methods applied to problems in fluid mechanics (76M15) Hydro- and aero-acoustics (76Q05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Boundary element methods for boundary value problems involving PDEs (65N38)

Related Items (2)

The two-step method for determining a piecewise-continuous refractive index of a 2D scatterer by near field measurements ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Inverse acoustic and electromagnetic scattering theory

This page was built for publication: Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body