Numerical solution of diffraction problems using large matrix compression

G. V. Ryzhakov, A. Yu Mikhalev, D. A. Sushnikova, I. V. Oseledets

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

    1 Citation (Scopus)

    Abstract

    We present an application of H2-matrix compression to the problem of diffraction of electromagnetic wave on ideal-conductive bodies in the 3D case. Numerical examples are given. In the case, when the body is electrically large, a fine grid on the body is needed to approximate the unknown function with good accuracy. Thus, the matrix dimension of the corresponding system of linear equations is large (about 105 and more) and the system cannot be solved directly due to the lack of memory.

    Original languageEnglish
    Title of host publication2015 9th European Conference on Antennas and Propagation, EuCAP 2015
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    ISBN (Electronic)9788890701856
    Publication statusPublished - 27 Aug 2015
    Event9th European Conference on Antennas and Propagation, EuCAP 2015 - Lisbon, Portugal
    Duration: 13 May 201517 May 2015

    Publication series

    Name2015 9th European Conference on Antennas and Propagation, EuCAP 2015

    Conference

    Conference9th European Conference on Antennas and Propagation, EuCAP 2015
    Country/TerritoryPortugal
    CityLisbon
    Period13/05/1517/05/15

    Keywords

    • 3D diffraction
    • H-matrices
    • hypersingular integral equation
    • ideal-conductive bodies

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