A three field stabilized finite element method for the Stokes equations

DOI10.1016/S1631-073X(02)02319-1zbMath1154.76352OpenAlexW2088494495MaRDI QIDQ1600195

Mohamed Amara, Eliseo Chacón Vera, David M. Trujillo

Publication date: 12 June 2002

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02319-1

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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 (5)

Stokes equations with given velocity fluxes and pressure. ⋮ Some properties on the surfaces of vector fields and its application to the Stokes and Navier-Stokes problems with mixed boundary conditions ⋮ Vorticity-velocity-pressure formulation for Navier-Stokes equations ⋮ Regularity of solutions to the Navier-Stokes equations with a nonstandard boundary condition ⋮ Equatorial wave-current interactions

Cites Work

• A remark on the regularity of solutions of Maxwell's equations on Lipschitz domains
• Finite Element Methods for Navier-Stokes Equations
• Navier‐Stokes equations with imposed pressure and velocity fluxes
• Convergence of a finite element discretization of the Navier-Stokes equations in vorticity and stream function formulation
• An optimal \(C^0\) finite element algorithm for the 2D biharmonic problem: Theoretical analysis and numerical results

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