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Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions

Thierry Goudon 1, 2 Stella Krell 1, 3, 2 Giulia Lissoni 1, 3, 2
1 COFFEE - COmplex Flows For Energy and Environment
CRISAM - Inria Sophia Antipolis - Méditerranée , JAD - Laboratoire Jean Alexandre Dieudonné : UMR7351
Abstract : The aim of this work is to analyze " Discrete Duality Finite Volume " schemes (DDFV for short) on general meshes by adapting the theory known for the linear Stokes problem with Dirichlet boundary conditions to the case of Neu-mann boundary conditions on a fraction of the boundary. We prove well-posedness for stabilized schemes and we derive some error estimates. Finally, we illustrate some numerical results in which we compare stabilized and unstabilized schemes.
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Submitted on : Wednesday, April 5, 2017 - 2:53:35 PM
Last modification on : Monday, October 12, 2020 - 2:28:06 PM
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Thierry Goudon, Stella Krell, Giulia Lissoni. Numerical analysis of the DDFV method for the Stokes problem with mixed Neumann/Dirichlet boundary conditions. 2017. ⟨hal-01502397⟩

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