Abstract
We discuss some recent progress in the convergence analysis of adaptive finite element methods for the Stokes equations. First we present a result concerning the quasi-optimality of low-order non-conforming methods. Both the case of the Crouzeix-Raviart element on triangular meshes, and the Rannacher-Turek element on parallelogram elements are covered. Numerical experiments are conducted in order to appreciate the different variants of the algorithm.
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Becker, R., Mao, S. & Trujillo, D. Adaptive nonconforming finite elements for the Stokes equations. SeMA 50, 99–113 (2010). https://doi.org/10.1007/BF03322544
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DOI: https://doi.org/10.1007/BF03322544