Scalar problem of plane wave diffraction by a system of nonintersecting screens and inhomogeneous bodies

DOI10.1134/S0965542514080089zbMath1313.78028MaRDI QIDQ2940525

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Publication date: 26 January 2015

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

Galerkin methodSobolev spaceHelmholtz equationweakly singular integral equationsplane wave diffraction

Mathematics Subject Classification ID

Diffraction, scattering (78A45)

Related Items (7)

Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies ⋮ Method of integral equations in a scalar diffraction problem on a partially screened inhomogeneous body ⋮ Substantiation of the collocation method for one class of systems of integral equations ⋮ 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 Fredholm property of the electric field equation in the vector diffraction problem for a partially screened solid ⋮ Constructive method for solving a boundary value problem with impedance boundary condition for the Helmholtz equation ⋮ Existence and uniqueness theorems in electromagnetic diffraction on systems of lossless dielectrics and perfectly conducting screens

Cites Work

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• A direct boundary integral equation method for transmission problems
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• Existence and uniqueness of a solution of a singular volume integral equation in a diffraction problem
• Layer potentials and boundary value problems for the helmholtz equation in the complement of a thin obstacle
• The operator equations of Lippmann–Schwinger type for acoustic and electromagnetic scattering problems inL²
• Boundary Integral Operators on Lipschitz Domains: Elementary Results
• Convergence of the Galerkin methods for equations with elliptic operators on subspaces and solving the electric field equation
• Linear integral equations

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