Explicit stability conditions for FDTD on nonuniform tensor-product grids

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    Abstract

    In this paper we present sufficient conditions for stability of the finite-difference time-domain method on nonuniform tensor-product grids. The general courant-friedrichs-lewy stability condition can be written in terms of the spectral radius of the first-order maxwell system matrix. In this paper we present upper bounds to obtain sufficient conditions for stability of FDTD in one, two and three dimensions. The stability conditions are all presented in terms of the maximum electromagnetics wave speed present in the configuration and the minimum step sizes of the grid. Moreover, our conditions reduce to the well-known stability conditions for FDTD if the grid is uniform.
    Original languageUndefined/Unknown
    Title of host publication2007 International conference on electromagnetics in advanced applications
    Editors s.n.
    Place of PublicationTorino
    PublisherCOREP
    Pages1-4
    Number of pages4
    ISBN (Print)1-4244-0767-2
    Publication statusPublished - 2007
    EventICEAA 2007: 10th edition - Torino
    Duration: 17 Sep 200721 Sep 2007

    Publication series

    Name
    PublisherCOREP

    Conference

    ConferenceICEAA 2007
    CityTorino
    Period17/09/0721/09/07

    Keywords

    • conference contrib. refereed
    • Conf.proc. > 3 pag

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