In this paper we analyze the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter.
Long time behavior of discrete volume preserving mean curvature flows / Morini, M.; Ponsiglione, M.; Spadaro, E.. - In: JOURNAL FÜR DIE REINE UND ANGEWANDTE MATHEMATIK. - ISSN 0075-4102. - (2022). [10.1515/crelle-2021-0076]
Long time behavior of discrete volume preserving mean curvature flows
Morini M.;Ponsiglione M.;Spadaro E.
2022-01-01
Abstract
In this paper we analyze the Euler implicit scheme for the volume preserving mean curvature flow. We prove the exponential convergence of the scheme to a finite union of disjoint balls with equal volume for any bounded initial set with finite perimeter.File in questo prodotto:
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