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Optimal Control of the Propagation of a Graph in Inhomogeneous Media
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posted on 2023-06-08, 04:53 authored by Klaus Deckelnick, Charles M Elliott, Vanessa StylesVanessa StylesWe 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 the $H^{-1}$-norm. We prove convergence of a discrete optimal control problem based on a monotone finite difference scheme and describe some numerical results.
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Publication status
- Published
Journal
SIAM Journal on Control and OptimizationISSN
0363-0129External DOI
Issue
3Volume
48Page range
1335-1352Pages
18.0Department affiliated with
- Mathematics Publications
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- No
Peer reviewed?
- Yes
Legacy Posted Date
2012-02-06Usage metrics
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