Conservation law constrained optimization based upon Front-Tracking
Institut für Angewandte Mathematik,
FAU Erlangen-Nürnberg, Martensstr. 3, 91058 Erlangen, Germany.
2 Fachbereich Mathematik, TU Kaiserslautern, Postfach 3049, 67653 Kaiserslautern, Germany.
We consider models based on conservation laws. For the optimization of such systems, a sensitivity analysis is essential to determine how changes in the decision variables influence the objective function. Here we study the sensitivity with respect to the initial data of objective functions that depend upon the solution of Riemann problems with piecewise linear flux functions. We present representations for the one–sided directional derivatives of the objective functions. The results can be used in the numerical method called Front-Tracking.
Mathematics Subject Classification: 35Lxx / 76N15
Key words: Sensitivity calculus / front-tracking / conservation laws.
© EDP Sciences, SMAI, 2007