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Numerical methods for the optimal control of scalar conservation laws

IFIP Advances in Information and Communication Technology (2013) 391 AICT 136-144
DOI: 10.1007/978-3-642-36062-6_14
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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 typew problems with nonsmooth desired states and convergence results for higher-order spatial and temporal discretization schemes. © 2013 IFIP International Federation for Information Processing.

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Steffensen, S., Herty, M., & Pareschi, L. (2013). Numerical methods for the optimal control of scalar conservation laws. In IFIP Advances in Information and Communication Technology (Vol. 391 AICT, pp. 136–144). Springer New York LLC. https://doi.org/10.1007/978-3-642-36062-6_14

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