Spectral Tau approximation of the two-dimensional Stokes problem

DOI10.1007/BF01395818zbMath0629.76037MaRDI QIDQ1094235

Giovanni Sacchi Landriani

Publication date: 1988

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

Full work available at URL: https://eudml.org/doc/133260

zbMATH Keywords

Sobolev spacesapproximationerror estimateinf-sup conditionconvergence estimatesspurious modesdiscrete pressurediscrete Stokes problemdivergence free vector fieldpolynomial divergence free vector fieldsspectral-Tau methodStokes system on a square

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items (8)

On the stability and performance of the \(p\)-version of the finite element method for first-order hyperbolic problems ⋮ The \(p\) and \(h-p\) versions of some finite element methods for Stokes' problem ⋮ Optimal error estimates of the Legendre tau method for second-order differential equations ⋮ On shifted Jacobi spectral method for high-order multi-point boundary value problems ⋮ A spectral-Tau approximation for the Stokes and Navier-Stokes equations ⋮ \(p\)-version of mixed finite element methods for Stokes-like problems ⋮ Error Analysis and Simulation of Galerkin Spectral Approximation for Flow Optimal Control with State Constraint ⋮ Divergence stability in connection with the $p$-version of the finite element method

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• Convergence of the Kleiser Schumann method for the Navier-Stokes equations
• Approximation Results for Orthogonal Polynomials in Sobolev Spaces
• Finite Element Methods for Navier-Stokes Equations
• Chebyshev spectral approximation of Navier-Stokes equations in a two dimensional domain

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