394 RWTH Publication No: 230021        2014        IGPM394.pdf
TITLE Numerical Method for the Computation of Tangent Vectors to Hyperbolic Systems of Conservation Laws
AUTHORS Michael Herty, Benedetto Piccoli
ABSTRACT We are interested in the development of a numerical method for solving optimal control problems governed by hyperbolic systems of conservation laws. The main difficulty of computing the derivative in the case of shock waves is resolved in the presented scheme. Our approach is based a combination of a relaxation approach in combination with a numerical scheme to resolve the evolution of the tangent vectors. Numerical results for optimal control problems are presented.
KEYWORDS conservation laws, optimization, tangent vectors
DOI 10.4310/CMS.2016.v14.n3.a5
PUBLICATION Communication in Mathematical Sciences
Volume 14 (2016), Number 3, Pages: 683 – 704