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Rapport Année : 2012

An inf-sup stable and robust discretization of the Stokes equations with large irrotational sources on general meshes

Résumé

In this note we propose a discretization of the Stokes equations which is inf-sup stable on general polygonal or polyhedral meshes and robust with respect to the presence of large irrotational source terms. The key idea is to construct a discrete space for the velocity which extends two important properties of the Crouzeix-Raviart element to general meshes, namely the continuity of mean values at interfaces and the approximation of nontrivial solenoidal fields. As a result, it is proved that the approximation of the velocity is not affected by the presence of the irrotational part of the source term. A numerical validation of the theoretical results is provided.
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Dates et versions

hal-00708270 , version 1 (14-06-2012)
hal-00708270 , version 2 (06-02-2013)

Identifiants

  • HAL Id : hal-00708270 , version 2

Citer

Daniele Antonio Di Pietro, Simon Lemaire. An inf-sup stable and robust discretization of the Stokes equations with large irrotational sources on general meshes. 2012. ⟨hal-00708270v2⟩
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