A Time—Adaptive Semi—Lagrangian Approximation to Mean Curvature Motion

Elisabetta Carlini (), Maurizio Falcone () and Roberto Ferretti ()
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Elisabetta Carlini: Universitá di Roma “La Sapienza”, Dipartimento di Matematica
Maurizio Falcone: Universitá di Roma “La Sapienza”, Dipartimento di Matematica
Roberto Ferretti: Universitá di Roma Tre, Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 732-739 from Springer

Abstract: Abstract We study the problem of time-step adaptation in semi-Lagrangian schemes for the approximation of the level-set equation of Mean Curvature Motion. We try to present general principles for time adaptivity strategies applied to geometric equations and to make a first attempt based on local truncation error. The efficiency of the proposed technique on classical benchmarks is discussed in the last section.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_71

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DOI: 10.1007/978-3-540-34288-5_71

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