A posteriori estimators for mixed finite element approximations of a fluid obeying the power law

DOI10.1016/S0045-7825(98)00094-2zbMath0953.76057MaRDI QIDQ1818447

Dominique Sandri

Publication date: 25 January 2001

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

zbMATH Keywords

finite element methodinf-sup conditionvelocity-pressure formulationa posteriori error estimationpower law fluidfinite element spacesCarreau lawdiscrete space of tensorsdiscrete space of velocitiestensor-velocity-pressure formulation

Mathematics Subject Classification ID

Non-Newtonian fluids (76A05) Error bounds for boundary value problems involving PDEs (65N15) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (9)

Dual Combined Finite Element Methods For Non-Newtonian Flow (II) Parameter-Dependent Problem ⋮ Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem ⋮ On a posteriori estimates for a linearized Oldroyd's problem ⋮ Inverse rheometry and basal properties inference for pseudoplastic geophysical flows ⋮ Optimal control for quasi-Newtonian flows with defective boundary conditions ⋮ An Augmented Lagrangian Preconditioner for Implicitly Constituted Non-Newtonian Incompressible Flow ⋮ Numerical analysis of a four-field model for the approximation of a fluid obeying the power law or Carreau's law ⋮ Numerical Analysis of Unsteady Implicitly Constituted Incompressible Fluids: 3-Field Formulation ⋮ Quasi-norm interpolation error estimates for the piecewise linear finite element approximation of \(p\)-Laplacian problems

Cites Work

• Unnamed Item
• Unnamed Item
• Finite element analysis of nonlinear creeping flows
• Analyse numérique des écoulements quasi-Newtoniens dont la viscosité obéit à la loi puissance ou la loi de Carreau. (Numerical analysis of quasi-Newtonian flow obeying the power low or the Carreau flow)
• Error estimates for a mixed finite element method for a non-Newtonian flow
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Quasi-norm error bounds for the finite element approximation of a non- Newtonian flow
• Numerical analysis of a three-fields model for a quasi-Newtonian flow
• Estimateurs a posteriori d'erreur pour le calcul adaptatif d'écoulements quasi-newtoniens
• Sur l'approximation numérique des écoulements quasi-newtoniens dont la viscosité suit la loi puissance ou la loi de Carreau

This page was built for publication: A posteriori estimators for mixed finite element approximations of a fluid obeying the power law