Finite Element Approximation of Viscoelastic Fluid Flow: Existence of Approximate Solutions and Error Bounds. Continuous Approximation of the Stress

DOI10.1137/0731019zbMath0807.76040OpenAlexW2054531120MaRDI QIDQ4305445

Dominique Sandri

Publication date: 13 September 1994

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0731019

zbMATH Keywords

fixed point methodstreamline upwinding Petrov-Galerkin methodOldroyd B type constitutive law

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (23)

Unconditional error estimates for time dependent viscoelastic fluid flow ⋮ Convergence of a linearly extrapolated BDF2 finite element scheme for viscoelastic fluid flow ⋮ Analysis and finite element approximation of an optimal control problem for the Oseen viscoelastic fluid flow ⋮ A study on the Galerkin least-squares method for the Oldroyd-B model ⋮ Error estimates for a stabilized finite element method for the Oldroyd B model ⋮ Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models ⋮ Decoupled modified characteristics variational multiscale method for solving the blood solute dynamics model ⋮ Two-level finite element approximation for Oseen viscoelastic fluid flow ⋮ Two-level finite element discretization of viscoelastic fluid flow. ⋮ Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow ⋮ Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow ⋮ A domain decomposition method for the Oseen-viscoelastic flow equations ⋮ Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow ⋮ A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows ⋮ Numerical analysis of a four-field model for the approximation of a fluid obeying the power law or Carreau's law ⋮ Decoupled algorithm for solving Phan-Thien-Tanner viscoelastic fluid by finite element method ⋮ Finite-element approximation of viscoelastic fluid flow with slip boundary condition ⋮ Analysis of a defect correction method for viscoelastic fluid flow ⋮ Approximation of time-dependent, multi-component, viscoelastic fluid flow ⋮ Unnamed Item ⋮ Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows ⋮ Decoupled approach for the problem of viscoelastic fluid flow of PTT model. I: Continuous stresses ⋮ Second-Order Finite Difference Approximations of the Upper-Convected Time Derivative

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