메뉴 건너뛰기




Volumn 30, Issue 4, 1996, Pages 489-525

Finite element methods for the three-field stokes system in ℝ3: Galerkin methods

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0005088796     PISSN: 0764583X     EISSN: None     Source Type: Journal    
DOI: 10.1051/m2an/1996300404891     Document Type: Article
Times cited : (9)

References (38)
  • 2
  • 3
    • 51249186403 scopus 로고
    • A stable finite element method for the Stokes equation
    • D. N. ARNOLD, F. BREZZI and M. FORTIN, 1984, A stable finite element method for the Stokes equation, Calcolo, 21-4, pp. 337-344.
    • (1984) Calcolo , vol.21 , Issue.4 , pp. 337-344
    • Arnold, D.N.1    Brezzi, F.2    Fortin, M.3
  • 5
    • 34250459417 scopus 로고
    • The finite element method with lagrange multipliers
    • I. BABUSKA, 1973, The finite element method with lagrange multipliers, Numer. Math., 20, pp. 179-192.
    • (1973) Numer. Math. , vol.20 , pp. 179-192
    • Babuska, I.1
  • 6
    • 0040823836 scopus 로고
    • Approximation par éléments finis d'écoulements de fluides viscoélastiques. Existence de solutions approchées et majorations d'erreur
    • Série I
    • J. BARANGER and D. SANDRI, 1991, Approximation par éléments finis d'écoulements de fluides viscoélastiques. Existence de solutions approchées et majorations d'erreur. C. R. Acad. Sci. Paris, 312, Série I, pp. 541-544.
    • (1991) C. R. Acad. Sci. Paris , vol.312 , pp. 541-544
    • Baranger, J.1    Sandri, D.2
  • 9
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from lagrange multipliers
    • F. BREZZI, 1974, On the existence, uniqueness and approximation of saddle-point problems arising from lagrange multipliers, RAIRO, Série rouge, Analyse Numé rique R-2, pp. 129-151.
    • (1974) RAIRO, Série Rouge, Analyse Numé Rique R-2 , pp. 129-151
    • Brezzi, F.1
  • 15
    • 0025476942 scopus 로고
    • A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic flows
    • A. FORTIN and M. FORTIN, 1990, A preconditioned generalized minimal residual algorithm for the numerical solution of viscoelastic flows, Journal of Non-Newtonian Fluid Mechanics, 36, pp. 277-288.
    • (1990) Journal of Non-Newtonian Fluid Mechanics , vol.36 , pp. 277-288
    • Fortin, A.1    Fortin, M.2
  • 16
    • 0024719354 scopus 로고
    • On the convergence of the mixed method of Crochet & Marchal for viscoelastic flows
    • M. FORTIN and R. PIERRE, 1988, On the convergence of the Mixed Method of Crochet & Marchal for Viscoelastic Flows, Comp. Meth. Appl. Mech. Engin., 73, pp. 341-350.
    • (1988) Comp. Meth. Appl. Mech. Engin. , vol.73 , pp. 341-350
    • Fortin, M.1    Pierre, R.2
  • 17
    • 0026386228 scopus 로고
    • Error analysis of some Galerkin-least-squares methods for the elasticity equations
    • L. FRANCA and R. STENBFRG, 1991, Error analysis of some Galerkin-least-squares methods for the elasticity equations, SIAM Journal of Numerical Analysis, 28-6, pp. 1680-1697.
    • (1991) SIAM Journal of Numerical Analysis , vol.28 , Issue.6 , pp. 1680-1697
    • Franca, L.1    Stenbfrg, R.2
  • 20
    • 0003312557 scopus 로고
    • Singularities in boundary values problems
    • P. G. Ciarlet & J.-L. Lions eds., Masson & Springer Verlag, Paris
    • P. GRISVARD, 1992, Singularities in Boundary Values Problems, in Research Notes in Applied Mathematics, P. G. Ciarlet & J.-L. Lions eds., Masson & Springer Verlag, Paris.
    • (1992) Research Notes in Applied Mathematics
    • Grisvard, P.1
  • 26
    • 0040229175 scopus 로고
    • Sur l'application de quelques méthodes d'éléments finis à la résolution d'un problème d'élasticité incompressible non linéaire
    • INRIA, Rocquencourt, France
    • V. RUAS, 1980, Sur l'application de quelques méthodes d'éléments finis à la résolution d'un problème d'élasticité incompressible non linéaire, Rapport de Recherche 24, INRIA, Rocquencourt, France.
    • (1980) Rapport de Recherche , vol.24
    • Ruas, V.1
  • 27
    • 0039637238 scopus 로고
    • Une méthode d'éléments finis non conformes en vitesse pour le problème de Stokes tridimensionnel
    • V. RUAS, 1982, Une méthode d'éléments finis non conformes en vitesse pour le problème de Stokes tridimensionnel. Matemática Aplicada e Computacional, 1-1, pp. 53-74.
    • (1982) Matemática Aplicada e Computacional , vol.1 , Issue.1 , pp. 53-74
    • Ruas, V.1
  • 28
    • 0040823837 scopus 로고
    • Une méthode mixte contrainte-déplacement-pression pour la résolution de problèmes de viscoélasticité incompressible en déformations planes
    • série II
    • V. RUAS, 1985, Une méthode mixte contrainte-déplacement-pression pour la résolution de problèmes de viscoélasticité incompressible en déformations planes, C. R. Acad. Sc., Paris, 301, série II, 16, pp. 1171-1174.
    • (1985) C. R. Acad. Sc., Paris , vol.301 , Issue.16 , pp. 1171-1174
    • Ruas, V.1
  • 29
    • 0040229174 scopus 로고
    • Finite element solution of 3D viscous flow problems using non standard degrees of freedom
    • V. RUAS, 1985, Finite element solution of 3D viscous flow problems using non standard degrees of freedom, Japan Journal of Applied Mathematics, 2-2, pp. 415-431.
    • (1985) Japan Journal of Applied Mathematics , vol.2 , Issue.2 , pp. 415-431
    • Ruas, V.1
  • 31
    • 0040229165 scopus 로고
    • Finite element methods for three-dimensional incompressible flow
    • T. J. Chung ed., Hemisphere Publishing Corporation, Washington, Chapter X
    • V. RUAS, 1992, Finite Element Methods for Three-Dimensional Incompressible Flow, in : Finite Element in Fluids, Vol. 8, T. J. Chung ed., Hemisphere Publishing Corporation, Washington, Chapter X, pp. 211-235.
    • (1992) Finite Element in Fluids , vol.8 , pp. 211-235
    • Ruas, V.1
  • 32
    • 0040823828 scopus 로고
    • A convergent three field quadrilateral finite element method for simulating viscoelastic flow on irregular meshes
    • V. RUAS, 1992, A convergent three field quadrilateral finite element method for simulating viscoelastic flow on irregular meshes. Revue Européenne des Éléments Finis, 4-1, pp. 391-406.
    • (1992) Revue Européenne des Éléments Finis , vol.4 , Issue.1 , pp. 391-406
    • Ruas, V.1
  • 34
    • 0009036725 scopus 로고
    • An optimal three-field finite element approximation of the Stokes system with continuous extra stresses
    • V. RUAS, 1994, An optimal three-field finite element approximation of the Stokes system with continuous extra stresses, Japan Journal of Industrial and Applied Mathematics, 11-1, pp. 103-130.
    • (1994) Japan Journal of Industrial and Applied Mathematics , vol.11 , Issue.1 , pp. 103-130
    • Ruas, V.1
  • 36
    • 0004107912 scopus 로고
    • Analyse d'une formulation à trois champs du problème de Stokes
    • D. SANDRI, 1993, Analyse d'une formulation à trois champs du problème de Stokes, Modélisation Mathématique et Analyse Numérique, 27-7, pp. 817-841.
    • (1993) Modélisation Mathématique et Analyse Numérique , vol.27 , Issue.7 , pp. 817-841
    • Sandri, D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.