Two Fast Marching Methods for Hamilton–Jacobi Equations

descriptionPublicationkeyboard_double_arrow_right Article , Part of book or chapter of book 01 Dec 2007 Italy English Publisher:WileyJournal:PAMM, volume 7, pages 1,025,001-1,025,002 (issn: 1617-7061, eissn: 1617-7061,

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Authors: CRISTIANI, Emiliano; FALCONE, Maurizio;

doi: 10.1002/pamm.200700002

handle: 11573/158336

Two Fast Marching Methods for Hamilton–Jacobi Equations

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Abstract

AbstractWe introduce and analyze two new Fast Marching (FM) methods based on a semi‐Lagrangian (SL) approximation (see [2] for a more complete presentation). The Characteristics driven Fast Marching method accepts more than one node at every iteration using a dynamic condition which leads to a faster convergence. The Buffered Fast Marching method allows to deal with convex and non–convex Hamilton–Jacobi equations including anisotropic front propagation and differential games. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)

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Italy

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Roma Tre University
Italy
Sapienza University of Rome
Italy

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