Topical Problems of Fluid Mechanics


Institute of Thermomechanics AS CR, v.v.i.	CTU in Prague Faculty of Mech. Engineering Dept. Tech. Mathematics	MIO Université du Sud Toulon Var - AMU - CNRS - IRD	Czech Pilot centre ERCOFTAC

A Posteriori Error Estimates and Coupling of Adaptive Strategies for a Diffusion Problem
F. Benkhaldoun, T. Ghoudi
Abstract:
In this paper we propose a new hybrid adaptation strategy which preserves the quality of the mesh during rfinement and which is coupled to the a posteriori error estimators introduced by M. Vohralik to deal with dffusion problems. To this end, we introduce the New Bisection method restricted to the conformity treatment, thus avoiding the propagation of the rfinement as well as the oscillations in the error convergence processes.
Keywords:
Finite volumes, finite elements, mesh adaptation, a posteriori error estimator

Fulltext: PDF DOI: https://doi.org/10.14311/TPFM.2017.005

In Proceedings Topical Problems of Fluid Mechanics 2017, Prague, 2017 Edited by David Šimurda and Tomáš Bodnár, pp. 31-36 ISBN 978-80-87012-61-1 (Print) ISSN 2336-5781 (Print)