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.
2022
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]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11381/2915788
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