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Rapport (Rapport De Recherche) Année : 2009

A dG method for the Stokes equations related to nonconforming approximations

Résumé

We study a discontinuous Galerkin method for the Stokes equations with a new stabilization of the viscous term. On the one hand, it allows us to recover, as the stabilization parameter tends towards infinity, some stable and well-known nonconforming approximations of the Stokes problem. On the other hand, we can easily define an a posteriori error indicator, based on the reconstruction of a locally conservative H(div)-tensor. An a priori error analysis is also carried out, yielding optimal convergence rates. Numerical tests illustrating the accuracy and the robustness of the scheme are presented.
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Dates et versions

inria-00380772 , version 1 (04-05-2009)
inria-00380772 , version 2 (15-05-2009)
inria-00380772 , version 3 (30-07-2009)

Identifiants

  • HAL Id : inria-00380772 , version 1

Citer

Roland Becker, Daniela Capatina, Julie Joie. A dG method for the Stokes equations related to nonconforming approximations. [Research Report] 2009, pp.34. ⟨inria-00380772v1⟩
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