Error estimates for the spectral Galerkin approximations of the solutions of Navier–Stokes type equations

DOI10.1017/S0017089500007758zbMath0693.76040MaRDI QIDQ3468769

R. Salvi

Publication date: 1989

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

zbMATH Keywords

rate of convergenceNavier-Stokes equationserror estimatesstability conditionDirichlet normspectral Galerkin approximationsNavier-Stokes solutionviscous incompressible non-homogeneous fluids

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Related Items (10)

On the convergence of spectral approximations for the heat convection equations ⋮ Convergence rates of approximations of incompressible flows through granular porous media ⋮ An error estimate uniform in time for spectral semi-galerkin approximations of the nonhomogeneous navier-stokes equations ⋮ On the approximation of turbulent fluid flows by the Navier-Stokes-\(\alpha\) equations on bounded domains ⋮ On the convergence rate of spectral approximation for the equations for nonhomogeneous asymmetric fluids ⋮ Error estimates for spectral semi-Galerkin approximations of incompressible asymmetric fluids with variable density ⋮ Pointwise Error Estimate for Spectral Galerkin Approximations of Micropolar Equations ⋮ On the Convergence Rate of Spectral Approximations for the Equations of Nonhomogeneous Incompressible Fluids ⋮ Analysis of an iterative method for variable density incompressible fluids ⋮ Uniform-in-time error estimates for spectral Galerkin approximations of a mass diffusion model

Cites Work

• Unnamed Item
• An existence theorem for non-homogeneous incompressible fluids
• Unique solvability of an initial- and boundary-value problem for viscous incompressible nonhomogeneous fluids
• Weak Solutions of an Initial Boundary Value Problem for an Incompressible Viscous Fluid with Nonnegative Density

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