A Characteristics Driven Fast Marching Method for the Eikonal Equation

E. Cristiani () and M. Falcone ()
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E. Cristiani: ENSTA
M. Falcone: SAPIENZA – Università di Roma, Dipartimento di Matematica

A chapter in Numerical Mathematics and Advanced Applications, 2008, pp 695-702 from Springer

Abstract: Abstract We introduce a new Fast Marching method for the eikonal equation. The method is based on the informations driven by characteristics and it is an improvement with respect to the standard Fast Marching method since it accepts more than one node at every iteration using a dynamic condition. We analyze the method and present several tests on fronts evolving in the normal direction with variable velocities including cases where a change in topology occurs.

Keywords: Narrow Band; Eikonal Equation; Minimum Time Problem; Unique Viscosity Solution; Minimal Time Function (search for similar items in EconPapers)
Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-69777-0_83

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DOI: 10.1007/978-3-540-69777-0_83

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