Numerical Schemes for the Game p-Laplacian via Averaging
2015-11-05
Robert Smits (New Mexico State University) - Giovedì 5 novembre ore 10:30 - aula riunioni IAC, primo piano (via dei Taurini)
A recent probabilistic interpretation of p-harmonic functions involving a 2 person, zero sum game has led to a major increase in the investigations of the p-Laplacian, motion by mean curvature, AMLE and related problems. I will discuss the 2 player game, tug-of-war, it's relationship to the p-Laplacian and some of the difficulties involved with the numerics of non-variational, highly degenerate elliptic problems. I will discuss a novel scheme for solving the Poisson problem associated to the game p-Laplacian which doesn't involve interpolation with the infinity Laplacian and show numerical examples from implementing the scheme.
