**Date & Time:** Wednesday, January 25, 2015, 16:00-17:00.

**Venue:** Ramanujan Hall

**Speaker:** Carsten Carstensen, Humboldt University

**Title:** Axioms of Adaptivity

**Abstract:** Four axioms (A1)--(A4) link estimators and distance functions on a set of admissible refinements together and
imply optimality of a standard finite element routine on an
abstract level with a loop: solve, estimate, mark, and refine. The presentation provides
proofs and examples of the recent review due to C. Carstensen, M. Feischl, M. Page, and D. Praetorius: The axioms
of adaptivity, Comput. Math. Appl. 67 (2014)1195–1253 and so discusses the
current literature on the mathematics of adaptive finite element methods.
The presentation concludes with an overview over several applications
of the set of axioms.