Center for                           Nonlinear Analysis CNA Home People Seminars Publications Workshops and Conferences CNA Working Groups CNA Comments Form Summer Schools Summer Undergraduate Institute PIRE Cooperation Graduate Topics Courses SIAM Chapter Seminar Positions Contact 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, 2012Time: 1:30 pmLocation: Wean Hall 7218Submitted by:  David Kinderlehrer