Monday, 20 January 2020, 2.15 p.m. (sharp),

Prof. Ricardo H. Nochetto, Department of Mathematics and Institute for
Physical Science and Technology, University of Maryland

at the conference room of Dipartimento di Matematica "F. Casorati" - aula Beltrami,in Pavia, will give a lecture titled:

NUMERICAL METHODS WITH CONVERGENCE RATES FOR THE MONGE-AMPERE EQUATION

At the end a refreshment will be organized.

---------------------------------------------------------

Abstract.
We analyze the Oliker-Prussner method and a two-scale method for the
Monge-Ampere equation with Dirichlet boundary condition, and explore
connections with a Bellman formulation. We also study a two-scale
method for a fully nonlinear obstacle problem associated with convex
envelopes. We derive pointwise error estimates that rely on the
discrete Alexandroff maximum principle and the geometric structure of
these PDEs for both classical and non-classical solutions.