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A discontinuous Galerkin solver for front propagation

Olivier Bokanowski 1, 2 Yingda Cheng 3 Chi-Wang Shu 4
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
4 Division of Applied Mathematics
DAM - Division of Applied Mathematics
Abstract : We propose a new discontinuous Galerkin (DG) method based on [Cheng and Shu, JCP, 2007] to solve a class of Hamilton-Jacobi equations that arises from optimal control problems. These equations are connected to front propagation problems or minimal time problems with non isotropic dynamics. Several numerical experiments show the relevance of our method, in particular for front propagation.
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Contributor : Olivier Bokanowski <>
Submitted on : Monday, December 19, 2011 - 4:37:06 PM
Last modification on : Thursday, December 10, 2020 - 12:32:36 PM
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  • HAL Id : hal-00653471, version 1


Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu. A discontinuous Galerkin solver for front propagation. SIAM Journal on Scientific Computing, Society for Industrial and Applied Mathematics, 2011, 33 (2), pp.923-938. ⟨hal-00653471⟩



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