Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body

DOI10.1134/S0012266115090098zbMath1341.78020OpenAlexW2101350587MaRDI QIDQ901886

E. V. Zakharov, Alexey V. Setukha, Elizaveta N. Bezobrazova

Publication date: 6 January 2016

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

Full work available at URL: https://doi.org/10.1134/s0012266115090098

zbMATH Keywords

discretizationquadrature formulaboundary value problemhypersingular integral equationwave diffraction

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Diffraction, scattering (78A45) Numerical integration (65D30) Integral equations with kernels of Cauchy type (45E05)

Related Items (9)

Parallel implementation for some applications of integral equations method ⋮ The method of hypersingular integral equations in the problem of electromagnetic wave diffraction by a dielectric body with a partial perfectly conducting coating ⋮ Discrete Vortices and Their Generalizations for Scattering Problems ⋮ Integral representations of fields in three-dimensional problems of diffraction by penetrable bodies ⋮ Method of boundary integral equations in the problem of diffraction of a monochromatic electromagnetic wave by a system of perfectly conducting and piecewise homogeneous dielectric objects ⋮ Method of boundary integral equations with hypersingular integrals in boundary-value problems ⋮ Propagation of surface waves past asymmetric elastic plates ⋮ The method of relocation of boundary condition for the problem of electromagnetic wave scattering by perfectly conducting thin objects ⋮ Application of mosaic-skeleton approximations of matrices in the physical optics method for electromagnetic scattering problems

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Numerical solution of 3D problems of electromagnetic wave diffraction on a system of ideally conducting surfaces by the method of hypersingular integral equations
• On the numerical solution of a complete two-dimensional hypersingular integral equation by the method of discrete singularities
• Integral equations and sound propagation in a shallow sea
• Hypersingular integral equations for the diffraction of electromagnetic waves on homogeneous magneto-dielectric bodies

This page was built for publication: Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body