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arXiv · 1207.3671

Numerical Methods for the Optimal Control of Scalar Conservation Laws

M. Herty·L. Pareschi·S. Steffensen
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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 type problems with nonsmooth desired states and convergence results for higher--order spatial and temporal discretization schemes.

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M. Herty, L. Pareschi, S. Steffensen. 2012-07-16. Numerical Methods for the Optimal Control of Scalar Conservation Laws. https://arxiv.org/abs/1207.3671

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