UMD Theses and Dissertations

Permanent URI for this collectionhttp://hdl.handle.net/1903/3

New submissions to the thesis/dissertation collections are added automatically as they are received from the Graduate School. Currently, the Graduate School deposits all theses and dissertations from a given semester after the official graduation date. This means that there may be up to a 4 month delay in the appearance of a given thesis/dissertation in DRUM.

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Author: search.filters.author.Lakkis, OmarSubject: search.filters.subject.Nonlinear -- Numerical solutions

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    Error Control for the Mean Curvature Flow
    (2002) Lakkis, Omar; Nochetto, Ricardo H.; Mathematics; Digital Repository at the University of Maryland; University of Maryland (College Park, Md.)
    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.