Reduced Finite Element Discretizations of the Stokes and Navier-Stokes Equations

DOI10.1080/01630560600569999zbMath1088.76026OpenAlexW1982380189MaRDI QIDQ5291752

Knobloch, Petr

Publication date: 22 May 2006

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630560600569999

zbMATH Keywords

optimal convergenceenriched element space

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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 (1)

Stabilization methods of bubble type for theQ₁/Q₁-element applied to the incompressible Navier-Stokes equations

Cites Work

• Unnamed Item
• On finite element approximations of problems having inhomogeneous essential boundary conditions
• A stable finite element for the Stokes equations
• Finite dimensional approximation of nonlinear problems. I: Branches of nonsingular solutions
• Finite Element Methods for Navier-Stokes Equations
• Optimal Finite-Element Interpolation on Curved Domains
• Old and new finite elements for incompressible flows
• Mixed and Hybrid Finite Element Methods
• Stabilization methods of bubble type for theQ₁/Q₁-element applied to the incompressible Navier-Stokes equations

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