, Dynamics of polymeric liquids
, Dynamics of polymeric liquids Kinetic theory Mixed and hybrid finite element methods, p.76, 1987.
, Streamline upwind/Petrov-Galerkin formulations for convection dominated flows with particular emphasis on the incompressible Navier-Stokes equations, Baranger and K. Najib. Analyse numerique des ecoulements quasi- Newtoniens dont la viscosite obeit a la loi puissance ou la loi de Carreau, pp.199-259, 1922.
DOI : 10.1016/0045-7825(82)90071-8
, Analyse fonctionnelle. Théorie et application, p.38, 1983.
, Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds, Numerische Mathematik, vol.313, issue.1, pp.13-27, 1992.
DOI : 10.1007/BF01385845
, Optimal Convergence of the Original DG Method on Special Meshes for Variable Transport Velocity, SIAM Journal on Numerical Analysis, vol.48, issue.1, pp.133-146, 2010.
DOI : 10.1137/080740805
, Creeping flow regimes of low concentration polymer solutions in thick solvents through an orifice die, Journal of Non-Newtonian Fluid Mechanics, vol.45, issue.2, pp.231-28513, 1992.
DOI : 10.1016/0377-0257(92)85005-H
, Steady Couette flows of elastoviscoplastic fluids are nonunique, Discontinuous Galerkin methods for Friedrichs' systems. II. Second-order elliptic PDEs. SIAM J. Numer. Anal, pp.213-239, 1994.
DOI : 10.1122/1.3675605
URL : https://hal.archives-ouvertes.fr/hal-00616273
, Discontinuous Galerkin Methods for Friedrichs' Systems. I. General theory, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.753-778, 2006.
DOI : 10.1137/050624133
, An intrinsic criterion for the bijectivity of Hilbert operators related to Friedrich systems A new approach for the FEM simulation of viscoelastic flows Augmented Lagrangian methods, Friedrichs. Symmetric positive linear differential equations, pp.317-341, 1958.
, Theory and algorithms Measurement of consistency as applied to rubber-benzene solutions Construction d'une base de fonctions P 1 non conformè a divergence nulle dans IR 3 Sur les matériaux standard généralisés Navier-Stokes equations using mixed interpolation In Finite element in flow problems An analysis of the discontinuous Galerkin method for a scalar hyperbolic equation [Les74] P. Lesaint. Finite element methods for the transport equation Finite element collocation methods for first order systems Analyse numérique matricielle appliquéè a l'art de l'ingénieur. Tome 1 Numerical analysis of viscoelastic problems The thermomechanics of plasticity and fracture Variational methods in the theory of the fluidity of a viscous-plastic medium On stagnant flow regions of a viscous-plastic medium in pipes On qualitative singularities of the flow of a viscoplastic medium in pipes, Finite element methods for the Navier-Stokes equations Lions. Quelques méthodes de résolution desprobì emes aux limites non linéaires. Gauthier-VillarsOld50] J. G. Oldroyd. On the formulation of rheological equations of states. Proc, pp.56-38621, 1926.
, Méthode desélémentsdeséléments finis pour les fluides An optimal-order error estimate for the discontinuous galerkin method An adaptive finite element method for Bingham fluid flows around a cylinder 63 [S ¨ 88] E. Süli. Convergence and nonlinear stability of the Lagrange-Galerkin method for the Navier-Stokes equations Simulation numérique d'´ ecoulements de fluides viscoélastiques paréléments paréléments finis incompressibles et une méthode de directions alternées ; applications Numerical simulation of viscoelastic fluid flows using incompressible finite element method and a ?-method, Sar97] P. Saramito. Operator splitting in viscoelasticity. ´ Elasticité, Viscoélasticité et Contrôle Optimal ESAIM : ProceedingsSar07] P. Saramito. A new constitutive equation for elastoviscoplastic fluid flows, pp.523-541, 1950.
, Efficient C++ finite element computing with Rheolef. CNRS and LJK, pp.40-41, 2011.
, Flow characteristics of viscoelastic fluids in an abrupt contraction by using numerical modeling An adaptive finite element method for viscoplastic fluid flows in pipes, Tem95] R. Temam. Navier-Stokes equations and nonlinear functional analysis. SIAM, pp.95-94263, 1994.
, Conduit flow of an incompressible, yield-stress fluid Comment on " conduit flow of an incompressible, yield-stress fluid " [j. rheol Tracking of the yield surfaces of laminar viscoplastic flows in noncircular ducts using an adaptive scheme Response to " comment on 'conduit flow of an incompressible, yield-stress fluid, Proc. Natl. Sci. Counc. ROC(A), pp.93-101, 1997.