MenuEvents for 09/29/2016 from all calendars
Promotion Talk for Professor Alan Demlow
Time: 4:00PM - 5:00PM
Location: BLOC 220
Speaker: Alan Demlow
Description:
Title: Maximum-norm a posteriori error analysis for finite element methods
Abstract:
Finite element methods (FEM) are intimately connected with variational formulations of PDE and associated energy norms. Their error analysis is thus simplest to carry out in such energy norms. However, it is often of interest to measure FEM errors in other norms. In this talk we present computable a posteriori error estimates for controlling finite element errors in maximum norms, discuss their analysis, and apply them to adaptive control of maximum errors in singularly perturbed reaction-diffusion equations. Finally, we use the bounded mean oscillation norm as a proxy for the maximum norm in order to give some hints about possible pathways to obtaining convergence analysis for adaptive FEM for controlling maximum errors.
