Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems
Numerical Analysis
2015-04-13 v2
Abstract
We extend the ideas of Diening, Kreuzer, and Stevenson [Instance optimality of the adaptive maximum strategy, Found. Comput. Math. (2015)], from conforming approximations of the Poisson problem to nonconforming Crouzeix-Raviart approximations of the Poisson and the Stokes problem in 2D. As a consequence, we obtain instance optimality of an AFEM with a modified maximum marking strategy.
Cite
@article{arxiv.1404.3065,
title = {Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems},
author = {Christian Kreuzer and Mira Schedensack},
journal= {arXiv preprint arXiv:1404.3065},
year = {2015}
}