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Numerical Methods for the Optimal Control of Scalar Conservation Laws

Sonja Steffensen 1 Michael Herty 1 Lorenzo Pareschi 2
1 RWTH - Rheinisch-Westfälische Technische Hochschule Aachen
2 University of Ferrara [Ferrara]
Abstract : We are interested in a class of numerical schemes for the optimization of nonlinear hyperbolic partial differential equations. We present continuous and discretized relaxation schemes for scalar, one– conservation laws. We present numerical results on tracking typew problems with nonsmooth desired states and convergence results for higher–order spatial and temporal discretization schemes.
Keywords : IMEX schemes optimal control conservation laws Runge-Kutta methods
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Sonja Steffensen, Michael Herty, Lorenzo Pareschi. Numerical Methods for the Optimal Control of Scalar Conservation Laws. 25th System Modeling and Optimization (CSMO), Sep 2011, Berlin, Germany. pp.136-144, ⟨10.1007/978-3-642-36062-6_14⟩. ⟨hal-01347531⟩

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