Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body
type: Item
instance of: scholarly article
title: Method of hypersingular integral equations in a three-dimensional problem of diffraction of electromagnetic waves on a piecewise homogeneous dielectric body
zbMATH Open document ID: 1341.78020
DOI: 10.1134/S0012266115090098
author: E. V. Zakharov
author: A. V. Setukha
author: Elizaveta N. Bezobrazova
published in: Differential Equations
publication date: 2016-01-06T00:00:00Z
review text: The authors consider a three-dimensional problem of electromagnetic diffraction in a piecewise homogeneous medium, allowing domains with different dielectric properties and ideally conducting inclusions in the form of solid objects and screens. They equivalently translate the problem in the form of a system of integral equations with strong singularities. Consequent numerical results are obtained through the application of quadrature formulas for hypersingular integrals.
Mathematics Subject Classification ID: 78A45
Mathematics Subject Classification ID: 45E05
Mathematics Subject Classification ID: 65R20
Mathematics Subject Classification ID: 78M25
Mathematics Subject Classification ID: 65D30
zbMATH DE Number: 6526892
zbMATH Keywords: wave diffraction
zbMATH Keywords: boundary value problem
zbMATH Keywords: hypersingular integral equation
zbMATH Keywords: quadrature formula
zbMATH Keywords: discretization
reviewed by: L. P. Castro
MaRDI profile type: Publication
cites work: Q3672341
cites work: Q4390414
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full work available at URL: s0012266115090098
OpenAlex ID: W2101350587
description: scientific article; zbMATH DE number 6526892