A stabilized implicit fractional-step method for the time-dependent Navier-Stokes equations using equal-order pairs

DOI10.1016/j.jmaa.2012.03.026zbMath1245.35082OpenAlexW1992426433MaRDI QIDQ429276

Xinlong Feng, Pengzhan Huang, Yin-Nian He

Publication date: 19 June 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2012.03.026

zbMATH Keywords

Navier-Stokes equationserror estimatesfractional-step methodstabilized finite element methodequal-order pairs

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)

Related Items (9)

A stabilized fractional-step finite element method for the time-dependent Navier-Stokes equations ⋮ Stability and convergence of first order time discrete linearized pressure correction projection method for the diffusive Peterlin viscoelastic model ⋮ Divergence-free radial kernel for surface Stokes equations based on the surface Helmholtz decomposition ⋮ Stabilized low order finite elements for Stokes equations with damping ⋮ First‐order fractional step finite element method for the 2D/3D unstationary incompressible thermomicropolar fluid equations ⋮ A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem ⋮ A second-order finite element variational multiscale scheme for the fully discrete unsteady Navier-Stokes equations ⋮ Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model ⋮ Linearly implicit variable step-size BDF schemes with Fourier pseudospectral approximation for incompressible Navier-Stokes equations

Uses Software

• FreeFem++

Cites Work

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