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Talks and Poster Presentations (without Proceedings-Entry):

M. Feischl, M. Page, D. Praetorius:
"Axioms of optimal adaptivity for FEM and BEM";
Talk: Mathematisches Kolloquium des Instituts für Angewandte Mathematik der Humboldt-Universität zu Berlin, Berlin (invited); 05-15-2013.



English abstract:
We identify six axioms which cover the existing literature on optimality of adaptive algorithms.
Put explicitly, if one can guarantee these six axioms to hold, the adaptive algorithm is proved
to converge with the optimal rate. This abstract and problem independent approach reveals
new connections, simplifications, and improvements of the existing literature on adaptive
conforming, non-conforming, and mixed finite element methods, as well as adaptive boundary
element methods.

Created from the Publication Database of the Vienna University of Technology.