New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations

DOI10.1093/IMANUM/DRP039zbMath1287.76180OpenAlexW2110233871MaRDI QIDQ3005393

M. Victoria Redondo-Neble, Francisco Guillén-González

Publication date: 7 June 2011

Published in: IMA Journal of Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imanum/drp039

zbMATH Keywords

Navier-Stokes equationsoptimal error estimatesfirst-order scheme in timesplitting-in-time schemes

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (14)

The time viscosity-splitting method for the Boussinesq problem ⋮ Convergence and error estimates of viscosity-splitting finite-element schemes for the primitive equations ⋮ Error analysis of a fractional-step method for magnetohydrodynamics equations ⋮ Error estimates of an operator‐splitting finite element method for the time‐dependent natural convection problem ⋮ Enhancing the viscosity-splitting method to solve the time-dependent Navier-Stokes equations ⋮ A splitting in time scheme and augmented Lagrangian method for a nematic liquid crystal problem ⋮ Error estimates for a viscosity-splitting scheme in time applied to non-Newtonian fluid flows ⋮ Decoupled scheme for time-dependent natural convection problem. II: Time semidiscreteness ⋮ A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem ⋮ A New Higher Order Fractional-Step Method for the Incompressible Navier-Stokes Equations ⋮ The fully discrete fractional-step method for the Oldroyd model ⋮ A large time stepping viscosity-splitting finite element method for the viscoelastic flow problem ⋮ Error analysis of a new fractional-step method for the incompressible Navier-Stokes equations with variable density ⋮ Optimal first-order error estimates of a fully segregated scheme for the Navier-Stokes equations

This page was built for publication: New error estimates for a viscosity-splitting scheme in time for the three-dimensional Navier-Stokes equations