Fully discrete finite element method based on second-order Crank-Nicolson/Adams-Bashforth scheme for the equations of motion of Oldroyd fluids of order one

DOI10.3934/dcdsb.2015.20.2583zbMath1381.76171OpenAlexW2525607688MaRDI QIDQ258412

Yingwen Guo, Yin-Nian He

Publication date: 10 March 2016

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.2583

zbMATH Keywords

viscoelastic fluidsCrank-Nicolson schemeAdams-Bashforth schememixed finite elementOldroyd fluids of order one

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Viscoelastic fluids (76A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Second-order nonlinear hyperbolic equations (35L70) 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 (4)

Fully discrete second-order backward difference method for Kelvin-Voigt fluid flow model ⋮ Crank-Nicolson extrapolation and finite element method for the Oldroyd fluid with the midpoint rule ⋮ Two-grid finite element Galerkin approximation of equations of motion arising in Oldroyd fluids of order one with non-smooth initial data ⋮ Unnamed Item

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