A Non-Monotone Fast Marching Scheme for a Hamilton-Jacobi Equation Modelling Dislocation Dynamics

Elisabetta Carlini (), Emiliano Cristiani () and Nicolas Forcadel ()
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Elisabetta Carlini: Università di Roma “La Sapienza”, Dipartimento di Matematica
Emiliano Cristiani: Università di Roma “La Sapienza”, Dipartimento Me.Mo.Mat.
Nicolas Forcadel: ENPC, CERMICS

A chapter in Numerical Mathematics and Advanced Applications, 2006, pp 723-731 from Springer

Abstract: 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.

Keywords: Dislocation Line; Physical Time; Eikonal Equation; Dislocation Dynamic; Speed Function (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-34288-5_70

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DOI: 10.1007/978-3-540-34288-5_70

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