Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2024

Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche

Rodolfo Araya
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  • PersonId : 1040024
Alfonso Caiazzo
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Résumé

We discuss how slip conditions for the Stokes equation can be handled using Nitsche method, for a stabilized finite element discretization. Emphasis is made on the interplay between stabilization and Nitsche terms. Well-posedness of the discrete problem and optimal convergence rates are established, and illustrated with various numerical experiments.
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Dates et versions

hal-04077986 , version 1 (21-04-2023)
hal-04077986 , version 2 (19-03-2024)

Identifiants

  • HAL Id : hal-04077986 , version 2

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Rodolfo Araya, Alfonso Caiazzo, Franz Chouly. Stokes problem with slip boundary conditions using stabilized finite elements combined with Nitsche. 2024. ⟨hal-04077986v2⟩
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