A Discontinuous Galerkin Solver for Front Propagation

Authors:
Olivier Bokanowski;Yingda Cheng;Chi-Wang Shu
Affiliations:
boka@math.jussieu.fr;ycheng@math.utexas.edu;shu@dam.brown.edu
Venue:
SIAM Journal on Scientific Computing
Year:
2011

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Abstract

We propose a new discontinuous Galerkin method based on [Y. Cheng and C.-W. Shu, J. Comput. Phys., 223 (2007), pp. 398-415] 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 nonisotropic dynamics. Several numerical experiments show the relevance of our method, in particular, for front propagation.