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    Error Control for the Mean Curvature Flow

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    Lakkis_etd.pdf (1.818Mb)
    No. of downloads: 1235

    Date
    2002
    Author
    Lakkis, Omar
    Advisor
    Nochetto, Ricardo H.
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    Abstract
    We study the equation describing the motion of a nonparametric surface according to its mean curvature flow. This is a nonuniformly parabolic equation that can be discretized in space via a finite element method. We conduct an aposteriori error analysis of the semidiscrete scheme and derive upper bounds to the error in terms of computable quantities called estimators. The reliability of the estimators is practically tested through numerical simulations.
    URI
    http://hdl.handle.net/1903/12144
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    • Mathematics Theses and Dissertations
    • UMD Theses and Dissertations

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    DRUM is brought to you by the University of Maryland Libraries
    University of Maryland, College Park, MD 20742-7011 (301)314-1328.
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