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- Title
Instance optimal Crouzeix-Raviart adaptive finite element methods for the Poisson and Stokes problems.
- Authors
KREUZER, CHRISTIAN; SCHEDENSACK, MIRA
- Abstract
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.
- Subjects
OPTIMAL control theory; APPROXIMATION theory; ADAPTIVE computing systems; FINITE element method; PROBLEM solving
- Publication
IMA Journal of Numerical Analysis, 2016, Vol 36, Issue 2, p593
- ISSN
0272-4979
- Publication type
Article
- DOI
10.1093/imanum/drv019