A posteriori error analysis for the mean curvature flow of graphs
journal contributionposted on 2023-06-07, 14:00 authored by Omar LakkisOmar Lakkis, Ricardo H Nochetto
We study the equation describing the motion of a nonparametric surface according to its mean curvature flow. This is a nonlinear nonuniformly parabolic PDE that can be discretized in space via a finite element method. We conduct an aposteriori error analysis of the spatial discretization and derive upper bounds on the error in terms of computable estimators based on local residual indicators. The reliability of the estimators is illustrated with two numerical simulations, one of which treats the case of a singular solution.
JournalSIAM Journal on Numerical Analysis
PublisherSociety for Industrial and Applied Mathematics
Department affiliated with
- Mathematics Publications
NotesCopyright owned by SIAM Journal on Numerical Analysis. Appropriate permissions should be sought before making any use of this article for purposes other than private research.
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