Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems
Kreuzer C., Schedensack M.
Research article (journal) | Peer reviewedAbstract
We extend the ideas of Diening et al. (2015, Instance optimality of the adaptive maximum strategy. Found. Comput. Math.), from conforming approximations of the Poisson problem to nonconforming Crouzeix-Raviart approximations of the Poisson and Stokes problems in two dimensions. As a consequence, we obtain instance optimality of an adaptive finite element method with a modified maximum marking strategy.
Details about the publication
Journal: IMA Journal of Numerical Analysis (IMA J. Numer. Anal.)
Volume: 36
Issue: 2
Page range: 593-617
Status: Published
Release year: 2016
Language in which the publication is written: English
Link to the full text: https://arxiv.org/abs/1404.3065
Keywords: adaptive finite element methods; convergence; maximum marking strategy; nonconforming finite element methods; optimal cardinality
Authors from the University of Münster
| Schedensack, Mira | Junior professorship of applied mathematics (Prof. Schedensack) |