A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme

DOI10.1016/j.apm.2012.04.057zbMath1349.76221OpenAlexW2095009591MaRDI QIDQ346066

Xinlong Feng, Pengzhan Huang, Demin Liu

Publication date: 5 December 2016

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2012.04.057

zbMATH Keywords

error estimatesunconditional stabilityCrank-Nicolson schemestabilized methodtime-dependent Stokes equations

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) 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 (10)

Feasibility of DEIM for retrieving the initial field via dimensionality reduction ⋮ A linearized Crank-Nicolson/leapfrog scheme for the Landau-Lifshitz equation ⋮ Stability and convergence of second order time discrete projection method for the linearized Oldroyd model ⋮ Decoupled stabilized Crank-Nicolson leapfrog method for time-dependent Navier-Stokes/Darcy model ⋮ The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data ⋮ Error estimates of mixed finite element methods for time-fractional Navier-Stokes equations ⋮ Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model ⋮ Convergence of the Crank-Nicolson extrapolation scheme for the Korteweg-de Vries equation ⋮ A novel approach of superconvergence analysis of the bilinear-constant scheme for time-dependent Stokes equations ⋮ \(H^2\)-stability of the first order fully discrete schemes for the time-dependent Navier-Stokes equations

This page was built for publication: A stabilized finite element method for the time-dependent Stokes equations based on Crank-Nicolson scheme