Anzeige
Erschienen in:
2017 | OriginalPaper | Buchkapitel
Stable Discontinuous Galerkin Approximations for the Hydrostatic Stokes Equations
verfasst von : F. Guillén-González, M. V. Redondo-Neble, J. R. Rodríguez-Galván
Erschienen in: Computational Mathematics, Numerical Analysis and Applications
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
Abstract
We propose a Discontinuous Galerkin scheme for the numerical solution of the Anisotropic (in particular, Hydrostatic) Stokes equations in Oceanography. The key is the introduction of interior penalties into the usual Stokes bilinear forms and, moreover, in the anisotropy (with respect to the horizontal and vertical directions) of these forms. Using \(\mathbb{P}_{k}\) discontinuous finite elements for velocity and pressure, we obtain discrete inf-sup stability independently on the ratio ɛ between the horizontal and vertical domain scales. Numerical tests are provided.