The max-plus finite element method for solving deterministic optimal control problems: basic properties and convergence analysis

In addition, we also derive several new results: optimal error estimates are derived for Q ℓ -rectangular FEs (for such elements we don’t know how to obtain error estimates using

of Ferrara where this paper was partially written... 2014 Semicontinuity, relaxation and integral representation in the calculus of variations, Pitman Res. 2014

& Sauter (2010) and Melenk & Sauter (2011) for the case of the acoustic Helmholtz equation in homogeneous media, so that our result is a generalization to more complex

We establish some optimal a priori error estimate on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut-off function and the stan- dard Xfem with

Ils entament la descente et au bout d’une heure se retrouvent sur une plateforme où ils installent leur camp.. Plus bas, le spectacle est grandiose : un lac de lave à la

In this paper, we presented the numerical analysis of a finite element scheme for the optimal control of bidomain-bath model in cardiac electrophysiology. In this regard, first

We study in particular the stable generalized finite element method of Babuˇska and Banerjee [6] for higher order approximations in two and three dimensions and propose a

Index Terms— optimal control, singular control, second or- der optimality condition, weak optimality, shooting algorithm, Gauss-Newton