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Deckelnick, Klaus; Elliott, Charles M.; Styles, Vanessa (2009)
Publisher: Society for Industrial and Applied Mathematics
Languages: English
Types: Article
Subjects: QA

Classified by OpenAIRE into

ACM Ref: MathematicsofComputing_NUMERICALANALYSIS
Identifiers:doi:10.1137/080723648
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 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.
  • The results below are discovered through our pilot algorithms. Let us know how we are doing!

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