On one numerical scheme of the solution of a three-dimensional problem of diffraction of an electromagnetic wave on thin ideally conductive screens

G. V. Ryzhakov

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    Abstract

    In the paper, the problem of diffraction on thin ideally conductive screens is reduced to vector hypersingular integral equation with integral treated in the sense of finite Hadamard value. An numerical scheme to solve the equation is introduced. The scheme is based on piecewise approximation of unknown function. The advantage of the scheme is that integral of singular part is reduced to contour integral which can be analytically calculated so numerical calculation are significantly accelerated. Several examples of resulting numerical experiments are given in comparison with known theoretical and experimental data.

    Original languageEnglish
    Title of host publicationAIP Conference Proceedings
    EditorsMichail D. Todorov
    PublisherAmerican Institute of Physics Inc.
    Pages127-134
    Number of pages8
    ISBN (Electronic)9780735412682
    DOIs
    Publication statusPublished - 2014
    Event6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014 - Albena, Bulgaria
    Duration: 26 Jun 20141 Jul 2014

    Publication series

    NameAIP Conference Proceedings
    Volume1629
    ISSN (Print)0094-243X
    ISSN (Electronic)1551-7616

    Conference

    Conference6th International Conference for Promoting the Application of Mathematics in Technical and Natural Sciences, AMiTaNS 2014
    Country/TerritoryBulgaria
    CityAlbena
    Period26/06/141/07/14

    Keywords

    • boundary value problem
    • Diffraction
    • hypersingular integral
    • ideal conductive screens
    • integral equation

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