Department of Mathematics

Speaker: Shun Zhang
Title: Robust Recovery-Based A Posteriori Error Estimators for Finite Element Methods
Affiliation: Division of Applied Mathematics, Brown University
Date: Wednesday, January 9, 2013
Place and Time: Room 101, Love Building, 3:35-4:30 pm
Refreshments: Room 204, Love Building, 3:00 pm

Abstract. A posteriori error estimators of the recovery type are extremely popular in the engineering community. Wrong choices of the quantity to recover and the space used for recovery will lead to inaccurate error estimators. For example, for elliptic interface equations, the famous Zienkiewicz-Zhu error estimator will over-refine regions with very small error.

In this talk, by using the intrinsic continuities of the underlying problem and the properties of different finite element discretizations, we present a unified framework of constructing robust recovery-based error estimators for various finite element discretizations of a wide class of differential equations.