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
CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, Inria Saclay - Ile de France, UMA - Unité de Mathématiques Appliquées
2 LJLL - Laboratoire Jacques-Louis Lions
3 Department of Mathematics
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.
Document type :
Journal articles
Complete list of metadatas

Cited literature [26 references]  Display  Hide  Download
https://hal.inria.fr/hal-00653471
Contributor : Olivier Bokanowski <>
Submitted on : Monday, December 19, 2011 - 4:37:06 PM
Last modification on : Monday, September 30, 2019 - 10:46:02 AM
Long-term archiving on : Tuesday, March 20, 2012 - 2:35:33 AM

File

Bokanowski_Cheng_Shu_2011.pdf
Publisher files allowed on an open archive

Identifiers

  • HAL Id : hal-00653471, version 1

Collections

INRIA | INSMI | X | X-CMAP | SADCO | LJLL | UPMC | CMAP | PARISTECH | UMA_ENSTA | ENSTA | UNIV-PARIS7 | TDS-MACS | USPC | X-DEP-MATHA | SORBONNE-UNIVERSITE | SU-SCIENCES

Citation

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⟩

Export

BibTeX TEI DC DCterms EndNote

Share

Metrics

Record views

624

Files downloads

312

Contact


archive-ouverte@inria.fr