Penalty method with P1/P1 finite element approximation for the Stokes equations under the slip boundary condition
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Publication:342887
DOI10.1007/s00211-016-0790-5zbMath1388.76137arXiv1505.06540OpenAlexW2250141430MaRDI QIDQ342887
Issei Oikawa, Takahito Kashiwabara, Guanyu Zhou
Publication date: 18 November 2016
Published in: Numerische Mathematik (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1505.06540
Numerical computation using splines (65D07) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)
Related Items (16)
Penalty method for the stationary Navier-Stokes problems under the slip boundary condition ⋮ Error estimates for finite element approximation of Dirichlet boundary control for Stokes equations in \(\mathbf{L}^2(\Gamma)\) ⋮ The fictitious domain method for the Stokes problem with Neumann/free-traction boundary condition ⋮ The fictitious domain method with \(H^1\)-penalty for the Stokes problem with Dirichlet boundary condition ⋮ On the convergence of a low order Lagrange finite element approach for natural convection problems ⋮ Nitsche's method for a Robin boundary value problem in a smooth domain ⋮ A coupled model of the fluid flow with nonlinear slip Tresca boundary condition ⋮ The Crouzeix-Raviart element for the Stokes equations with the slip boundary condition on a curved boundary ⋮ Pointwise error estimates for linear finite element approximation to elliptic Dirichlet problems in smooth domains ⋮ The fictitious domain method with penalty for the parabolic problem in moving-boundary domain: the error estimate of penalty and the finite element approximation ⋮ An analysis on the penalty and Nitsche's methods for the Stokes-Darcy system with a curved interface ⋮ Stability, analyticity, and maximal regularity for parabolic finite element problems on smooth domains ⋮ Analysis of an a posteriori error estimator for a variational inequality governed by the Stokes equations ⋮ Pointwise error estimates of linear finite element method for Neumann boundary value problems in a smooth domain ⋮ Penalty method with Crouzeix–Raviart approximation for the Stokes equations under slip boundary condition ⋮ On Discrete Shape Gradients of Boundary Type for PDE-constrained Shape Optimization
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