7
Views
3
CrossRef citations to date
0
Altmetric
Original Articles

A Convergent three Field Quadrilateral Finite Element Method for Simulating Viscoelastic Flow on Irregular Meshes

Pages 391-406 | Published online: 31 May 2012

References

  • Bercovier , M. and Pironneau , O. 1979 . “Error Estimates for the Finite Element Method Solution of the Stokes Problem in the Primitive Variables,”. . Numer. Math. , 33 : 211 – 224 .
  • Carneiro de Araujo , J. H. 1991 . Métodos de Elementos Finitos Otimizados para o Sistema de Stokes Associado a Problemas de Viscoelasticidade, Doctoral dissertation, Pontifícia Universidade Católica do Rio de Janeiro
  • Fortin , A. and Fortin , M. 1989 . “A New Approach for the Finite Element Simulation of Viscoelastic Flows,”. . Jour. Non-Newtonian Fluid Mech. , 32 : 295 – 310 .
  • Fortin , M. and Pierre , R. 1988 . “On the Convergence of the Mixed Method of Crochet & Marchal for Viscoelastic Flows,”. . Comp. Meth. Appl. Mech. Engin. , 73 : 341 – 350 .
  • Marchal , J. M. and Crochet , M. 1987 . “A New Finite Element for Calculating Viscoelastic Flow,”. . Jour. Non-Newtonian Fluid Mech. , 26 : 77 – 114 .
  • Ruas , V. 1985 . “Une méthode mixte contrainte-déplacement-pression pour la résolution de problèmes de viscoélasticité incompressible en déformations planes,” . Comptes Rendus de l'Académie des Sciences de Paris, t. , 301 : 1171 – 1174 . Série II, 16
  • Ruas , V. “An Optimal Second Order Three Field Finite Element Method for the Stokes System with Continuous Extra Stresses,” to appear
  • Ruas , V. , Carneiro de Araujo , J. H. and Silva Ramos , M. A.M. 1991 . “Finite Element Models for Viscoelstic Liquids: Some Recent Developments,” in: Numerical Methods in Laminar and Turbulent Flow, Vol VII ” . Edited by: Taylor , C. , Chin , J. H. and Homsy , G. M. Swansea : Pineridge Press . 1658–1668
  • Ruas , V. and Carneiro de Araujo , J. H. “Approximation of the Three-Field Stokes System Via Optimized Quadrilateral Finite Elements,” . In RAIRO—Modélisation Mathématique et Analyse Numérique. to appear in
  • Ruas , V. and Carneiro de Araujo , J. H. 1992 . “Un método mejorado de segundo orden para la simulación de flujo viscoelástico con elementos finitos cuadrilaterales,” . Revista Internacional de Métodos Numéricos para cálculo y Diseño en Ingeniería , 8 : 77 – 85 . n01
  • Sandri , D. 1991 . Analyse Numérique de Fluides Non Newtoniens: Fluides Viscoélasiques et Fluides Quasi-Newtoniens, Thèse de Doctorat, Universite Claude Bernard—Lyon I, Lyon

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.