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CNA Seminar/Colloquium/Joint Pitt-CNA Colloquium

Alan Demlow
University of Kentucky, Lexington
Title: Convergence of adaptive FEM for controlling nonstandard norms

Abstract: Adaptive finite element methods are popular in computational science and engineering because of their ability to automatically produce efficient solutions to partial differential equations. While their practical properties have long been understood, a satisfying theory explaining their convergence properties has only been developed in the past decade. Most such convergence results concern methods for controlling the (global) energy norm of the error, which is easiest to work with theoretically but not always the most relevant in practice. In this talk I will survey recent progress in understanding convergence behavior of adaptive methods for controlling ``nonstandard'' norms of the error such as L2 and local energy norms. Parts of this work are joint with Rob Stevenson of Amsterdam.

Date: Tuesday, February 7, 2012
Time: 1:30 pm
Location: Wean Hall 7218
Submitted by:  David Kinderlehrer