Stability and error analysis for spectral Galerkin method for the Navier–Stokes equations with L2 initial data

DOI10.1002/NUM.20234zbMath1128.76045OpenAlexW2141886351MaRDI QIDQ5438238

Yin-Nian He

Publication date: 23 January 2008

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.20234

zbMATH Keywords

high-dimensional spectral spaceimplicit/explicit Euler schemelow-dimensional spectral space

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Spectral methods applied to problems in fluid mechanics (76M22) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (8)

The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations ⋮ Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data ⋮ Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data ⋮ Galerkin and subspace decomposition methods in space and time for the Navier-Stokes equations ⋮ Viscosity explicit analysis for finite element methods of time-dependent Navier-Stokes equations ⋮ The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data ⋮ \(H^2\)-stability of the first order Galerkin method for the Boussinesq equations with smooth and non-smooth initial data ⋮ \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations

Cites Work

• Stability and error analysis for a spectral Galerkin method for the Navier‐Stokes equations with H² or H¹ initial data

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