A Discontinuous Galerkin Solver for Front Propagation

We propose a new discontinuous Galerkin (DG) method based on [9] 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.

• Type: Journal
• Year: 2011
• Where: SIAMSC
• Authors: Olivier Bokanowski, Yingda Cheng, Chi-Wang Shu
• Keywords: Non Isotropic Dynamics, Optimal Control Problems, Propagation Problems, SIAMSC 2011