Long time numerical stability and asymptotic analysis for the viscoelastic Oldroyd flows

DOI10.3934/dcdsb.2012.17.1551zbMath1248.35164OpenAlexW2063467533MaRDI QIDQ432585

Kun Wang, Yin-Nian He, Yan Ping Lin

Publication date: 4 July 2012

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.2012.17.1551

zbMATH Keywords

\(H^2\)-stabilityEuler semi-implicit schemefully discrete finite element solution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Viscoelastic fluids (76A10) Second-order nonlinear hyperbolic equations (35L70) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Theoretical approximation in context of PDEs (35A35)

Related Items (8)

Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model ⋮ Long time error estimates of IFE methods for the unsteady multi-layer porous wall model ⋮ Well-posedness and invariant measures for 2D stochastic Oldroyd model of order one with pure jumps ⋮ A gauge-Uzawa finite element method for the time-dependent viscoelastic Oldroyd flows ⋮ Third-order temporal discrete scheme for the non-stationary Navier–Stokes equations ⋮ Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows ⋮ An incremental pressure correction finite element method for the time-dependent Oldroyd flows ⋮ 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

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