2009, English, Article edition: A dG method for the Stokes equations related to nonconforming approximations Becker, Roland; Capatina, Daniela; Joie, Julie

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Physical Description
  • text
Published
  • HAL - CCSD
  • 2009
Language
  • English

Edition details

Title
  • A dG method for the Stokes equations related to nonconforming approximations
Author
  • Becker, Roland
  • Capatina, Daniela
  • Joie, Julie
Published
  • HAL - CCSD
  • 2009
Physical Description
  • text
Subjects
Notes
  • 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.
  • HAL:inria-00380772, version 3
  • HAL:http:/​/​hal.inria.fr/​inria-00380772/​en/​
Language
  • English
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