(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.
