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Publications in Scientific Journals:

C. Erath, G. Gantner, D. Praetorius:
"Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators";
accepted for publication in Computers and Mathematics with Applications (2019).



English abstract:
For some Poisson-type model problem, we prove that adaptive FEM driven by the (h − h/2)-type error estimators from [Ferraz-Leite, Ortner, Praetorius, Numer. Math. 116 (2010)] leads to convergence with optimal algebraic convergence rates. Besides the implementational simplicity, another striking feature of these estimators is that they can provide guaranteed lower bounds for the energy error with known efficiency constant 1.

Keywords:
finite element method, a posteriori error estimators, adaptive algorithm, local mesh-refinement, optimal convergence rates.


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2019.07.014


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