Nonlinear Galerkin method and two-step method for the Navier-Stokes equations

DOI<283::AID-NUM1>3.0.CO;2-K 10.1002/(SICI)1098-2426(199605)12:3<283::AID-NUM1>3.0.CO;2-KzbMath0852.76042OpenAlexW1980933467MaRDI QIDQ4884071

Kai-Tai Li, Yin-Nian He

Publication date: 12 December 1996

Full work available at URL: https://doi.org/10.1002/(sici)1098-2426(199605)12:3<283::aid-num1>3.0.co;2-k

zbMATH Keywords

spatial discretizationtime discretizationsecond-order convergence accuracy

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Finite difference methods applied to problems in fluid mechanics (76M20) 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)

Related Items (16)

The almost unconditional convergence of the Euler implicit/explicit scheme for the three dimensional nonstationary Navier-Stokes equations ⋮ Fully discrete finite element approximation of the MHD flow ⋮ The Euler implicit/explicit scheme for the Boussinesq equations ⋮ A nonlinear Galerkin mixed element method and a posteriori error estimator for the stationary Navier-Stokes equations ⋮ Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers' equation ⋮ Convergence analysis for a higher order scheme for the time-dependent Navier-Stokes equations ⋮ Convergence of three iterative methods based on the finite element discretization for the stationary Navier-Stokes equations ⋮ Stability and convergence of optimum spectral non-linear Galerkin methods ⋮ A modified nonlinear Galerkin method for the viscoelastic fluid motion equations ⋮ The Euler implicit/explicit scheme for the 2D time-dependent Navier-Stokes equations with smooth or non-smooth initial data ⋮ Optimal control for the Navier-Stokes equation with time delay in the convection: analysis and finite element approximations ⋮ Unconditional convergence and optimal \(L^2\) error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations ⋮ Numerical implementation of the Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations ⋮ The Crank-Nicolson/Adams-Bashforth scheme for the time-dependent Navier-Stokes equations with nonsmooth initial data ⋮ \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations ⋮ Convergence of second-order in time numerical discretizations for the evolution Navier-Stokes equations

This page was built for publication: Nonlinear Galerkin method and two-step method for the Navier-Stokes equations