On a decoupled algorithm for solving a finite element problem for the approximation of viscoelastic fluid flow

DOI10.1007/s002110050167zbMath0838.76044OpenAlexW2073511968MaRDI QIDQ1907134

Dominique Sandri, Khalid Najib

Publication date: 9 June 1996

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002110050167

zbMATH Keywords

error boundscontracting mappingOldroyd B differential modelStokes problem for velocity and pressuretransport equation for stress

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (22)

Unconditional error estimates for time dependent 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 ⋮ Stabilized finite element method for the approximation of linearized viscoelastic fluid flow models ⋮ Consistent splitting schemes for incompressible viscoelastic flow problems ⋮ On a second-order decoupled time-stepping scheme for solving a finite element problem for the approximation of Peterlin viscoelastic model ⋮ Two-level finite element approximation for Oseen viscoelastic fluid flow ⋮ Analysis of Stabilized Crank-Nicolson Time-Stepping Scheme for the Evolutionary Peterlin Viscoelastic Model ⋮ Two-level finite element discretization of viscoelastic fluid flow. ⋮ Stabilized lowest equal-order mixed finite element method for the Oseen viscoelastic fluid flow ⋮ A finite element approximation for the steady solution of a second-grade fluid model ⋮ Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow ⋮ Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow ⋮ Numerical approximation of the Oldroyd‐B model by the weighted least‐squares/discontinuous Galerkin method ⋮ A numerical approximation with WLS/SUPG algorithm for solving White-Metzner viscoelastic flows ⋮ Decoupled algorithm for solving Phan-Thien-Tanner viscoelastic fluid by finite element method ⋮ Approximation of time-dependent, multi-component, viscoelastic fluid flow ⋮ Existence,a priorianda posteriorierror estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows ⋮ Unnamed Item ⋮ Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows ⋮ Non integrable extra stress tensor solution for a flow in a bounded domain of an Oldroyd fluid ⋮ Decoupled approach for the problem of viscoelastic fluid flow of PTT model. I: Continuous stresses

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