On an estimate, uniform on the semiaxis \(t\geq 0\), for the rate of convergence of Galerkin approximations for the equations of motion of Kelvin-Voigt fluids
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Publication:1315489
DOI10.1007/BF01671004zbMath0783.76008MaRDI QIDQ1315489
Publication date: 17 February 1994
Published in: Journal of Soviet Mathematics (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/68192
Non-Newtonian fluids (76A05) PDEs in connection with fluid mechanics (35Q35) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60)
Related Items (6)
Asymptotic behavior and finite element error estimates of Kelvin-Voigt viscoelastic fluid flow model ⋮ The Euler implicit/explicit FEM for the Kelvin-Voigt model based on the scalar auxiliary variable (SAV) approach ⋮ Semidiscrete Galerkin method for equations of motion arising in Kelvin‐Voigt model of viscoelastic fluid flow ⋮ Stability and convergence analysis of stabilized finite element method for the Kelvin-Voigt viscoelastic fluid flow model ⋮ A fully discrete finite element scheme for the Kelvin-Voigt model ⋮ A modified nonlinear spectral Galerkin method for the equations of motion arising in the Kelvin–Voigt fluids
Cites Work
- On the stability of viscous fluid motions
- A note on the existence of periodic solutions of the Navier-Stokes equations
- On dynamical systems generated by initial-boundary value problems for the equations of motion of linear viscoelastic fluids
- An error estimate uniform in time for spectral Galerkin approximations of the Navier-Stokes problem
- Finite Element Approximation of the Nonstationary Navier–Stokes Problem. I. Regularity of Solutions and Second-Order Error Estimates for Spatial Discretization
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