Existence,a priorianda posteriorierror estimates for a nonlinear three-field problem arising from Oldroyd-B viscoelastic flows

DOI10.1051/m2an:2001140zbMath0997.76051OpenAlexW2137372422MaRDI QIDQ2781517

Jacques Rappaz, Marco Picasso

Publication date: 20 March 2002

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

Full work available at URL: http://www.numdam.org/item?id=M2AN_2001__35_5_879_0

zbMATH Keywords

viscoelastic fluidsconvex polygona posteriori error estimatesexistence of solutiona priori error estimatessmall relaxation timescontinuous piecewise linear finite elementselastic viscous split stress schemeGalerkin least square methodNewton-chord fixed point theoremsimplified Oldroyd-B model

Mathematics Subject Classification ID

Viscoelastic fluids (76A10) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) 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

A study on the Galerkin least-squares method for the Oldroyd-B model ⋮ Residual a posteriori error estimator for a three-field model of a nonlinear generalized Stokes problem ⋮ Analysis of a non-linear system by a new technique based on the continuation method ⋮ Mathematical and numerical analysis of a simplified time-dependent viscoelastic flow ⋮ Numerical simulation of 3D viscoelastic flows with free surfaces ⋮ Analysis of a stabilized finite element approximation for a linearized logarithmic reformulation of the viscoelastic flow problem ⋮ A posteriori error analysis of an augmented fully mixed formulation for the nonisothermal Oldroyd–Stokes problem ⋮ Finite element analysis of a simplified stochastic Hookean dumbbells model arising from viscoelastic flows

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