Name
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. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1137/090771909 | SIAM J. Scientific Computing |
Keywords | Field | DocType |
front propagation .,. hamilton-jacobi-bellman equations,new discontinuous galerkin method,hamilton-jacobi equation,front propagation,y. cheng,level sets,optimal control problem,numerical experiment,j. comput,discontinuous galerkin methods,front propagation problem,minimal time problem,nonisotropic dynamic,discontinuous galerkin solver,discontinuous galerkin,discontinuous galerkin method,hamilton jacobi bellman equation,level set | Discontinuous Galerkin method,Front propagation,Mathematical optimization,Optimal control,Mathematical analysis,Galerkin method,Level set,Solver,Mathematics | Journal |
Volume | Issue | ISSN |
33 | 2 | 1064-8275 |
Citations | PageRank | References |
3 | 0.43 | 14 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Bokanowski | 1 | 98 | 12.07 |
| Yingda Cheng | 2 | 201 | 20.27 |
| Chi-Wang Shu | 3 | 4053 | 540.35 |