Name
Abstract | ||
|---|---|---|
We consider a class of numerical schemes for optimal control problems of hyperbolic conservation laws. We focus on finite-volume schemes using relaxation as a numerical approach to the optimality system. In particular, we study the arising numerical schemes for the adjoint equation and derive necessary conditions on the time integrator. We show that the resulting schemes are in particular asymptotic preserving for both, the adjoint and forward equation. We furthermore prove that higher-order time-integrator yields suitable Runge–Kutta schemes. The discussion includes the numerically interesting zero relaxation case. |
Year | DOI | Venue |
|---|---|---|
2011 | 10.1016/j.amc.2011.05.116 | Applied Mathematics and Computation |
Keywords | Field | DocType |
Relaxation schemes,Optimal control,Numerical solution,Runge–Kutta methods | Runge–Kutta methods,Mathematical optimization,Adjoint equation,Optimal control,Mathematical analysis,Integrator,Mathematics,Conservation law | Journal |
Volume | Issue | ISSN |
218 | 1 | 0096-3003 |
Citations | PageRank | References |
0 | 0.34 | 9 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Michael Herty | 1 | 239 | 47.31 |
| Veronika Schleper | 2 | 4 | 1.44 |