Rabus, H.
July 2010
Computational Methods in Applied Mathematics;2010, Vol. 10 Issue 3, p315
Academic Journal
In recent years, the question on the convergence and optimality in the context of adaptive finite element methods has been the subject of intensive studies. However, for nonstandard FEMs such as mixed or nonconforming ones, the lack of Gaierkin's orthogonality requires new mathematical arguments. The presented adaptive algorithm for the Crouzeix-Raviart finite element method and the Poisson model problem is of quasi-optimal complexity. Furthermore it is natural in the sense that collective marking rather than a separate marking is applied or the estimated error and the volume term.


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