Investigation of electromagnetic wave diffraction from an inhomogeneous partially shielded solid

DOI10.1080/00036811.2017.1343467zbMath1394.35490OpenAlexW2728358262WikidataQ58288566 ScholiaQ58288566MaRDI QIDQ3177682

Aleksey A. Tsupak, Yury G. Smirnov

Publication date: 1 August 2018

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2017.1343467

zbMATH Keywords

Galerkin methodMaxwell's equationsexistence and uniquenesssingular integro-differential equationsinvertible operatordiffraction problempartially shielded solidquasi-classical solution

Mathematics Subject Classification ID

Pseudodifferential operators as generalizations of partial differential operators (35S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Diffraction, scattering (78A45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Integral representations, integral operators, integral equations methods in higher dimensions (31B10) Maxwell equations (35Q61) Integro-partial differential equations (35R09) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Related Items (4)

Electromagnetic wave scattering from curvilinear screens: Galerkin method convergence proof ⋮ Mathematical theory of normal waves in an anisotropic rod ⋮ Normal waves in an open anisotropic regular waveguide of arbitrary cross section ⋮ Direct and inverse scalar scattering problems for the Helmholtz equation in \(\mathbb{R}^m\)

Cites Work

• Integrodifferential equations of the vector problem of electromagnetic wave diffraction by a system of nonintersecting screens and inhomogeneous bodies
• Pseudodifferential operator method in a problem on the diffraction of an electromagnetic wave on a dielectric body
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• A new family of mixed finite elements in \({\mathbb{R}}^ 3\)
• Boundary integral equations for screen problems in \({\mathbb{R}}^ 3\)
• On traces for \(\mathbf H(\text{curl},\Omega)\) in Lipschitz domains.
• Linear and quasilinear elliptic equations
• On the volume singular integro-differential equation approach for the electromagnetic diffraction problem
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• Linear integral equations
• Inverse acoustic and electromagnetic scattering theory
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