Otto-von-Guericke-Universität Magdeburg

 
 
 
 
 
 
 
 

08-08

by Deckelnick, K.; Elliott, C.M.; Styles, V.

 

Preprint series: 08-08, Preprints

MSC:
49J20 Optimal control problems involving partial differential equations
49L25 Viscosity solutions
49M25 Finite difference methods

 

Abstract: We study an optimal control problem for viscosity solutions of a Hamilton-Jacobi equation describing the propagation of a one-dimensional graph with the control being the speed function. The existence of an optimal control is proved together with an approximate controllability result in a dual norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results.

Keywords: Optimal control, eikonal equation, Hamilton-Jacobi equation, approximate controllability


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Letzte Änderung: 10.02.2016 - Ansprechpartner: Pierre Krenzlin