Stability of discretizations of the Stokes problem on anisotropic meshes

Authors:
Thomas Apel;H. Maharavo Randrianarivony
Affiliations:
TU Chemnitz, Fak. f. Mathematik, 09107 Chemnitz, Germany;TU Chemnitz, Fak. f. Mathematik, 09107 Chemnitz, Germany
Venue:
Mathematics and Computers in Simulation - MODELLING 2001 - Second IMACS conference on mathematical modelling and computational methods in mechanics, physics, biomechanics and geodynamics
Year:
2003

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Abstract

Anisotropic features of the solution of flow problems are usually approximated on anisotropic (large aspect ratio) meshes. This paper reviews stability results of several velocity-pressure pairs with respect to growing aspect ratio of the elements in the mesh. For further pairs numerical tests are described. Related results are mentioned.