A formulation of Stokes's problem and the linear elasticity equations suggested by the Oldroyd model for viscoelastic flow

DOI10.1051/m2an/1992260203311zbMath0738.76002OpenAlexW2463874197MaRDI QIDQ3988576

Jacques Baranger, Dominique Sandri

Publication date: 28 June 1992

Published in: ESAIM: Mathematical Modelling and Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193666

zbMATH Keywords

linear elasticityviscoelastic fluidsfinite element approximationStokes's problemthree fields formulation

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Viscoelastic fluids (76A10) Stokes and related (Oseen, etc.) flows (76D07)

Related Items

Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows, Analyse d'une formulation à trois champs du problème de Stokes, Numerical analysis of a three-fields model for a quasi-Newtonian flow, Numerical analysis of the modified EVSS method, A monolithic FEM approach for the log-conformation reformulation (LCR) of viscoelastic flow problems, A mixed finite element scheme for viscoelastic flows with XPP model, FEM multigrid techniques for fluid-structure interaction with application to hemodynamics, Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation, Analysis of an augmented fully-mixed formulation for the coupling of the Stokes and heat equations, Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds, Optimal control of non-isothermal viscous fluid flow, A new spectral element method for the reliable computation of viscoelastic flow, A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem, A new mixed finite element method for the Stokes problem

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