Speaker
Dietmar Gallistl
(Universität Jena)
Description
This talk discusses a stability result for the Monge-Ampère operator in a (potentially regularized) Hamilton-Jacobi-Bellman format as a consequence of Alexandrov's classical maximum principle. The main application is guaranteed a posteriori error control in the $L^\infty$ norm for the difference of the Monge-Ampère solution and the convex hull of a fairly arbitrary $C^1$-conforming finite element approximation.
