Error Control for the Mean Curvature Flow

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dc.contributor.advisorNochetto, Ricardo H.
dc.contributor.authorLakkis, Omar
dc.contributor.departmentMathematics
dc.contributor.publisherDigital Repository at the University of Maryland
dc.contributor.publisherUniversity of Maryland (College Park, Md.)
dc.date.accessioned2011-10-26T17:05:35Z
dc.date.available2011-10-26T17:05:35Z
dc.date.issued2002
dc.description.abstractWe 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.en_US
dc.identifier.urihttp://hdl.handle.net/1903/12144
dc.language.isoen_USen_US
dc.subject.pquncontrolledGeometryen_US
dc.subject.pquncontrolleddifferentialen_US
dc.subject.pquncontrolledEvolution equationsen_US
dc.subject.pquncontrolledNonlinear -- Numerical solutionsen_US
dc.titleError Control for the Mean Curvature Flowen_US
dc.typeDissertationen_US

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