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.
A Time--Adaptive Semi--Lagrangian Approximation to Mean Curvature Motion / Carlini, Elisabetta; Falcone, Maurizio; R., Ferretti. - (2006), pp. 732-739. (Intervento presentato al convegno the 6th European Conference on Numerical Mathematics and Advanced Applications tenutosi a Santiago de Compostela; Spain nel 18-22/07/2005) [10.1007/978-3-540-34288-5_71].
A Time--Adaptive Semi--Lagrangian Approximation to Mean Curvature Motion
CARLINI, Elisabetta;FALCONE, Maurizio;
2006
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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
