Zeitschriftenartikel:
C. Erath, G. Gantner, D. Praetorius:
"Optimal convergence behavior of adaptive FEM driven by simple (h-h/2)-type error estimators";
Computers and Mathematics with Applications,
79
(2020),
3;
S. 623
- 642.
Kurzfassung englisch:
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.
Schlagworte:
finite element method, a posteriori error estimators, adaptive algorithm, local mesh-refinement, optimal convergence rates.
"Offizielle" elektronische Version der Publikation (entsprechend ihrem Digital Object Identifier - DOI)
http://dx.doi.org/10.1016/j.camwa.2019.07.014
Erstellt aus der Publikationsdatenbank der Technischen Universität Wien.