A reliable and efficient implicit a posteriori error estimation technique for the time harmonic Maxwell equations

    Research output: Book/ReportReportProfessional

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    Abstract

    We analyze an implicit a posteriori error indicator for the time harmonic Maxwell equations and prove that it is both reliable and locally efficient. For the derivation, we generalize some recent results concerning explicit a posteriori error estimates. In particular, we relax the divergence free constraint for the source term. We also justify the complexity of the obtained estimator.
    Original languageUndefined
    Place of PublicationEnschede
    PublisherNumerical Analysis and Computational Mechanics (NACM)
    Number of pages20
    Publication statusPublished - Dec 2007

    Publication series

    Name
    PublisherDepartment of Applied Mathematics, University of Twente
    No.07ex1846/1860
    ISSN (Print)1874-4850
    ISSN (Electronic)1874-4850

    Keywords

    • IR-64477
    • MSC-65N30
    • EWI-11443
    • METIS-245793

    Cite this

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    title = "A reliable and efficient implicit a posteriori error estimation technique for the time harmonic Maxwell equations",
    abstract = "We analyze an implicit a posteriori error indicator for the time harmonic Maxwell equations and prove that it is both reliable and locally efficient. For the derivation, we generalize some recent results concerning explicit a posteriori error estimates. In particular, we relax the divergence free constraint for the source term. We also justify the complexity of the obtained estimator.",
    keywords = "IR-64477, MSC-65N30, EWI-11443, METIS-245793",
    author = "F. Izsak and {van der Vegt}, {Jacobus J.W.}",
    note = "http://eprints.ewi.utwente.nl/11443",
    year = "2007",
    month = "12",
    language = "Undefined",
    publisher = "Numerical Analysis and Computational Mechanics (NACM)",
    number = "07ex1846/1860",

    }

    A reliable and efficient implicit a posteriori error estimation technique for the time harmonic Maxwell equations. / Izsak, F.; van der Vegt, Jacobus J.W.

    Enschede : Numerical Analysis and Computational Mechanics (NACM), 2007. 20 p.

    Research output: Book/ReportReportProfessional

    TY - BOOK

    T1 - A reliable and efficient implicit a posteriori error estimation technique for the time harmonic Maxwell equations

    AU - Izsak, F.

    AU - van der Vegt, Jacobus J.W.

    N1 - http://eprints.ewi.utwente.nl/11443

    PY - 2007/12

    Y1 - 2007/12

    N2 - We analyze an implicit a posteriori error indicator for the time harmonic Maxwell equations and prove that it is both reliable and locally efficient. For the derivation, we generalize some recent results concerning explicit a posteriori error estimates. In particular, we relax the divergence free constraint for the source term. We also justify the complexity of the obtained estimator.

    AB - We analyze an implicit a posteriori error indicator for the time harmonic Maxwell equations and prove that it is both reliable and locally efficient. For the derivation, we generalize some recent results concerning explicit a posteriori error estimates. In particular, we relax the divergence free constraint for the source term. We also justify the complexity of the obtained estimator.

    KW - IR-64477

    KW - MSC-65N30

    KW - EWI-11443

    KW - METIS-245793

    M3 - Report

    BT - A reliable and efficient implicit a posteriori error estimation technique for the time harmonic Maxwell equations

    PB - Numerical Analysis and Computational Mechanics (NACM)

    CY - Enschede

    ER -