Akian, Marianne; Gaubert, Stéphane; Lakhoua, Asma The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis. (English) Zbl 1157.49034 SIAM J. Control Optim. 47, No. 2, 817-848 (2008). Cited in 20 Documents MSC: 49L20 Dynamic programming in optimal control and differential games 65M60 Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs 06A15 Galois correspondences, closure operators (in relation to ordered sets) 12K10 Semifields 49M15 Newton-type methods Keywords:max-plus algebra; tropical semiring; Hamilton-Jacobi equation; weak formulation; residuation; projection; idempotent semimodules; finite element method PDF BibTeX XML Cite \textit{M. Akian} et al., SIAM J. Control Optim. 47, No. 2, 817--848 (2008; Zbl 1157.49034) Full Text: DOI arXiv OpenURL