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Comparison principle for a Generalized Fast Marching Method

Abstract : In \cite{CFFM06}, the authors have proposed a generalization of the classical Fast Marching Method of Sethian for the eikonal equation in the case where the normal velocity depends on space and time and can change sign. The goal of this paper is to propose a modified version of the Generalized Fast Marching Method proposed in \cite{CFFM06} for which we state a general comparison principle. We also prove the convergence of the new algorithm.
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https://hal.archives-ouvertes.fr/hal-00266075
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Submitted on : Thursday, March 20, 2008 - 9:07:32 PM
Last modification on : Wednesday, November 10, 2021 - 10:18:03 AM
Long-term archiving on: : Thursday, May 20, 2010 - 10:20:29 PM

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  • HAL Id : hal-00266075, version 1

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Nicolas Forcadel. Comparison principle for a Generalized Fast Marching Method. SIAM Journal on Numerical Analysis, Society for Industrial and Applied Mathematics, 2009, 47 (3), pp. 1923-1951. ⟨hal-00266075⟩

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