Unconditional convergence and optimal \(L^2\) error estimates of the Crank-Nicolson extrapolation FEM for the nonstationary Navier-Stokes equations
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Publication:2314276
DOI10.1016/j.camwa.2017.08.034zbMath1416.76108OpenAlexW2756774287MaRDI QIDQ2314276
Publication date: 22 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2017.08.034
Navier-Stokes equationsunconditional convergenceCrank-Nicolson extrapolationfully discrete mixed finite element
Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) 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 (6)
Analysis of fully discrete finite element methods for 2D Navier–Stokes equations with critical initial data ⋮ Unconditional superconvergence analysis of two modified finite element fully discrete schemes for nonlinear Burgers' equation ⋮ Decoupled Crank–Nicolson LeapFrog method for the evolution Boussinesq equations ⋮ Optimal-order convergence of a two-step BDF method for the Navier-Stokes equations with \(H^1\) initial data ⋮ Numerical analysis of CNLF modular grad-div stabilization method for time-dependent Navier-Stokes equations ⋮ Second-order convergence of the linearly extrapolated Crank-Nicolson method for the Navier-Stokes equations with \(H^1\) initial data
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