A uniformly stable Fortin operator for the Taylor-Hood element

DOI10.1007/s00211-012-0492-6zbMath1261.65120OpenAlexW2139094627MaRDI QIDQ1939651

Joachim Schöberl, Ragnar Winther, Kent-André Mardal

Publication date: 5 March 2013

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

Full work available at URL: https://doi.org/10.1007/s00211-012-0492-6

zbMATH Keywords

stabilityStokes problempreconditioners\(\inf\)-\(\sup\) conditionregular triangulationsTaylor-Hood elementFortin operator

Mathematics Subject Classification ID

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) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22) Preconditioners for iterative methods (65F08)

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A simple construction of a Fortin operator for the two dimensional Taylor-Hood element, A note on the uniform inf-sup condition for the Brinkman problem in highly heterogeneous media, Divergence-free Reconstruction Operators for Pressure-Robust Stokes Discretizations with Continuous Pressure Finite Elements, An observation on the uniform preconditioners for the mixed Darcy problem, Refined a posteriori error estimation for classical and pressure-robust Stokes finite element methods, Taylor-Hood like finite elements for nearly incompressible strain gradient elasticity problems, A Mixed $H^1$-Conforming Finite Element Method for Solving Maxwell's Equations with Non-$H^1$ Solution, Robust Preconditioning for XFEM Applied to Time-Dependent Stokes Problems, Robust weak Galerkin finite element solvers for Stokes flow based on a lifting operator, Fortin operator for the Taylor-Hood element, Fractional Space-Time Variational Formulations of (Navier--) Stokes Equations

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