Mathematics Colloquium

Rob Stevenson


"Instance optimality of the adaptive maximum strategy"

Date: Mon, November 25, 2013
Time: 17:15
Place: Research II Lecture Hall

Abstract: Adaptive finite element methods (AFEM's) for elliptic problems with the bulk chasing marking strategy are known to converge with the best possible rate.Practitioners usually prefer the maximum marking strategy, since it doesn't require sorting of the error indicators, and the results are less sensitive to the choice of a marking parameter. In this talk, after introducing to the subject, we present a proof that AFEM with a modified maximum strategy is even instance optimal for the total error, being the sum of the energy error and the oscillation. This is joint work with Lars Diening and Christian Kreuzer.