Mixed hp-DGFEM for incompressible flows III: Pressure stabilization
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Date
2002-12
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Report
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Abstract
We consider stabilized mixed hp-discontinuous Galerkin methods for the discretization of the Stokes problem in three-dimensional polyhedral domains. The methods are stabilized with a term penalizing the pressure jumps. For this approach it is shown that IQk-IQk and IQk-IQk-1 elements satisfy a generalized inf-sup condition on geometric edge and boundary layer meshes that are refined anisotropically and non quasi-uniformly towards faces, edges, and corners. The discrete inf-sup constant is proven to be independent of the aspect ratios of the anisotropic elements and to decrease as k-1/2 with the approximation order. We also show that the generalized inf-sup condition leads to a global stability result in a suitable energy norm.
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published
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2002-25
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Seminar for Applied Mathematics, ETH Zurich
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Subject
Hp-FEM; Discontinuous Galerkin methods; Stokes problem; Anisotropic refinement
Organisational unit
02501 - Seminar für Angewandte Mathematik / Seminar for Applied Mathematics
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