Penalty: finite element approximation of Stokes equations with slip boundary conditions

DOI10.1007/s00211-014-0646-9zbMath1308.76162OpenAlexW2039279171MaRDI QIDQ2260885

José M. Urquiza, Ibrahima Dione

Publication date: 12 March 2015

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00211-014-0646-9

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (12)

Penalty method for the stationary Navier-Stokes problems under the slip boundary condition ⋮ Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition ⋮ Imposing slip conditions on curved boundaries for 3D incompressible flows with a very high-order accurate finite volume scheme on polygonal meshes ⋮ Power law slip boundary condition for Navier-Stokes equations: discontinuous Galerkin schemes ⋮ Discontinuous Galerkin methods for Stokes equations under power law slip boundary condition: a priori analysis ⋮ The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary ⋮ Towards optimal finite element error estimates for the penalized Dirichlet problem in a domain with curved boundary ⋮ RBF collocation and hybrid-LHI methods for Stokes systems and its application to controllability problems ⋮ Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition ⋮ Divergence-free Scott--Vogelius Elements on Curved Domains ⋮ Stokes and Navier-Stokes equations under power law slip boundary condition: numerical analysis ⋮ Nitsche’s method for Navier–Stokes equations with slip boundary conditions

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