In this paper we introduce an extension of the Fast Marching Method introduced by Sethian [6] for the eikonal equation modelling front evolutions in normal direction. The new scheme can deal with a time-dependent velocity without any restriction on its sign. This scheme is then used for solving dislocation dynamics problems in which the velocity of the front depends on the position of the front itself and its sign is not restricted to be positive or negative.
A non-monotone Fast Marching scheme for a Hamilton-Jacobi equation modelling dislocation dynamics / Carlini, Elisabetta; E., Cristiani; N., Forcadel. - (2006), pp. 723-731. (Intervento presentato al convegno 6th European Conference on Numberical Mathematics and Advanced Applications (ENUMATH2005) tenutosi a Santiago de Compostela; Spain nel 18-22/07/2005) [10.1007/978-3-540-34288-5_70].
A non-monotone Fast Marching scheme for a Hamilton-Jacobi equation modelling dislocation dynamics
CARLINI, Elisabetta;
2006
Abstract
In this paper we introduce an extension of the Fast Marching Method introduced by Sethian [6] for the eikonal equation modelling front evolutions in normal direction. The new scheme can deal with a time-dependent velocity without any restriction on its sign. This scheme is then used for solving dislocation dynamics problems in which the velocity of the front depends on the position of the front itself and its sign is not restricted to be positive or negative.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
