Talks and Poster Presentations (without Proceedings-Entry):
G. Gantner, D. Haberlik, D. Praetorius:
"Axioms of adaptivity revisited: Optimal adaptive IGAFEM";
Keynote Lecture: ESI Workshop on "Interplay of geometric processing, modelling, and adaptivity in Galerkin methods",
The axioms of adaptivity from [Carstensen et al., Comput. Math. Appl. 67, 2014] analyze under which assumptions on the a posteriori error estimator and the mesh-refinement strategy, a mesh-refining adaptive algo- rithm yields convergence with optimal algebraic rates. In our talk, which is based on the recent work [Gantner et al., M3AS 27, 2017], we now address the question which properties of the FEM are sufficient to ensure that the usual weighted-residual error estimator is well-defined and satisfies the axioms of adaptivity. In particular, our analysis covers conforming FEM in the framework of isogeometric analysis with hierarchical splines.
The talk is based on joint work with Daniel Haberlik (TU Wien) and Gregor Gantner (TU Wien).
Created from the Publication Database of the Vienna University of Technology.