Numerical Analysis Seminar

Date: February 28, 2018

Time: 3:00PM - 4:00PM

Location: BLOC 628

Speaker: Abner Salgado, University of Tennessee

Title: Finite element approximation of nonconvex uniformly elliptic fully nonlinear equations

Abstract: We propose and analyze a two-scale finite element method for the Isaacs equation. By showing the consistency of the approximation and that the method satisfies the discrete maximum principle we establish convergence to the viscosity solution. By properly choosing each of the scales, and using the recently derived discrete Alexandrov Bakelman Pucci estimate we can deduce rates of convergence.