On the inf-sup condition for the \(P^{mod}_3 / P^{disc}_2\) element

DOI10.1007/s00607-005-0125-3zbMath1087.65107OpenAlexW2039517884MaRDI QIDQ817014

Knobloch, Petr

Publication date: 2 March 2006

Published in: Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00607-005-0125-3

zbMATH Keywords

inf-sup conditionincompressible flownonconforming finite-element methods

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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) Navier-Stokes equations (35Q30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (1)

On stability of the \(P_n^{\text{mod}}/P_n\) element for incompressible flow problems.

Cites Work

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• Non-nested multi-level solvers for finite element discretisations of mixed problems
• Inf-sup stable nonconforming finite elements of arbitrary order on triangles
• Stability of Finite Elements under Divergence Constraints
• Norm estimates for a maximal right inverse of the divergence operator in spaces of piecewise polynomials
• Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
• The P₁^mod Element: A New Nonconforming Finite Element for Convection-Diffusion Problems
• New nonconforming finite elements for solving the incompressible Navier-Stokes equations

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