Numerical Methods for the Optimal Control of Scalar Conservation Laws
Optimization and Control
2012-07-17 v1 Numerical Analysis
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.
Keywords
Cite
@article{arxiv.1207.3671,
title = {Numerical Methods for the Optimal Control of Scalar Conservation Laws},
author = {M. Herty and L. Pareschi and S. Steffensen},
journal= {arXiv preprint arXiv:1207.3671},
year = {2012}
}