Boletín SEMA, No 50 (2010)

Tamaño de la letra:  Pequeña  Mediana  Grande

ADAPTIVE NONCONFORMING FINITE ELEMENTS FOR THE STOKES EQUATIONS

R. Becker, S. Mao, D. Trujillo

Resumen


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.


Key words: Adaptive finite element methods, nonconforming methods, quasi- optimality, Stokes equations.


AMS subject classifications:    65N12, 65N15, 65N30, 65N50


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