Name
Abstract | ||
|---|---|---|
We study semi-Lagrangian discontinuous Galerkin (SLDG) and Runge-Kutta discontinuous Galerkin (RKDG) schemes for some front propagation problems in the presence of an obstacle term, modeled by a nonlinear Hamilton-Jacobi equation of the form min(u(t) vertical bar cu(x), u - g(x)) = 0, in one space dimension. New convergence results and error bounds are obtained for Lipschitz regular data. These "low regularity" assumptions are the natural ones for the solutions of the studied equations. Numerical tests are given to illustrate the behavior of our schemes. |
Year | DOI | Venue |
|---|---|---|
2016 | 10.1090/mcom/3072 | MATHEMATICS OF COMPUTATION |
Keywords | DocType | Volume |
Hamilton-Jacobi-Bellman equations,discontinuous Galerkin methods,level sets,front propagation,obstacle problems,dynamic programming principle,convergence | Journal | 85 |
Issue | ISSN | Citations |
301 | 0025-5718 | 1 |
PageRank | References | Authors |
0.36 | 19 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Olivier Bokanowski | 1 | 98 | 12.07 |
| Yingda Cheng | 2 | 201 | 20.27 |
| Chi-Wang Shu | 3 | 4053 | 540.35 |