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.

Carlini, E., Falcone, M., Ferretti, R. (2006). A time-adaptive Semi-Lagrangian approximation to Mean Curvature Motion. In Numerical Mathematics and Advanced Applications - ENUMATH 2005 (pp.732-739). BERLIN : Springer [10.1007/978-3-540-34288-5_71].

A time-adaptive Semi-Lagrangian approximation to Mean Curvature Motion

FERRETTI, Roberto
2006-01-01

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.
2006
978-3-540-34287-8
Carlini, E., Falcone, M., Ferretti, R. (2006). A time-adaptive Semi-Lagrangian approximation to Mean Curvature Motion. In Numerical Mathematics and Advanced Applications - ENUMATH 2005 (pp.732-739). BERLIN : Springer [10.1007/978-3-540-34288-5_71].
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/179874
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 11
social impact