Second order time-space iterative method for the stationary Navier-Stokes equations

DOI10.1016/j.aml.2016.02.018zbMath1381.76177OpenAlexW2293849817MaRDI QIDQ285093

Pengzhan Huang, Xinlong Feng, Yin-Nian He

Publication date: 18 May 2016

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2016.02.018

zbMATH Keywords

Navier-Stokes equationsnumerical verificationimplicit/explicit schemesecond order temporal accuracytime-space iterative method

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite element methods applied to problems in fluid mechanics (76M10) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (2)

Stability and convergence of second order time discrete projection method for the linearized Oldroyd model ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations

Cites Work

• Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations
• High-Re solutions for incompressible flow using the Navier-Stokes equations and a multigrid method
• A defect-correction method for the incompressible Navier-Stokes equations.
• Euler implicit/explicit iterative scheme for the stationary Navier-Stokes equations
• Some iterative finite element methods for steady Navier-Stokes equations with different viscosities
• Numerical comparisons of time-space iterative method and spatial iterative methods for the stationary Navier-Stokes equations
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem, Part II: Stability of Solutions and Error Estimates Uniform in Time
• Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
• Stability and Convergence of the Crank–Nicolson/Adams–Bashforth scheme for the Time‐Dependent Navier–Stokes Equations

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