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Volumn 190, Issue 13-14, 2000, Pages 1579-1599

Stabilization of incompressibility and convection through orthogonal sub-scales in finite element methods

Author keywords

[No Author keywords available]

Indexed keywords

FINITE ELEMENT METHOD; GALERKIN METHODS; HEAT CONVECTION; LEAST SQUARES APPROXIMATIONS; MATHEMATICAL MODELS; VARIATIONAL TECHNIQUES;

EID: 0034351658     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0045-7825(00)00254-1     Document Type: Article
Times cited : (324)

References (18)
  • 1
    • 0031122288 scopus 로고    scopus 로고
    • A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
    • R. Codina, J. Blasco, A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation, Computer Methods in Applied Mechanics and Engineering 143 (1997) 373-391.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.143 , pp. 373-391
    • Codina, R.1    Blasco, J.2
  • 2
    • 0029405472 scopus 로고
    • Multiscale phenomena: Green's function, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized formulations
    • T.J.R. Hughes, Multiscale phenomena: Green's function, the Dirichlet-to-Neumann formulation, subgrid scale models, bubbles and the origins of stabilized formulations, Computer Methods in Applied Mechanics and Engineering 127 (1995) 387-401.
    • (1995) Computer Methods in Applied Mechanics and Engineering , vol.127 , pp. 387-401
    • Hughes, T.J.R.1
  • 3
    • 0034234161 scopus 로고    scopus 로고
    • On stabilized finite element methods for linear systems of convection-diffusion-reaction equations
    • R. Codina, On stabilized finite element methods for linear systems of convection-diffusion-reaction equations, Computer Methods in Applied Mechanics and Engineering 188 (2000) 61-82.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.188 , pp. 61-82
    • Codina, R.1
  • 5
    • 0031103307 scopus 로고    scopus 로고
    • Finite element solution of the Stokes problem with dominating Coriolis force
    • R. Codina, O. Soto, Finite element solution of the Stokes problem with dominating Coriolis force, Computer Methods in Applied Mechanics and Engineering 142 (1997) 215-234.
    • (1997) Computer Methods in Applied Mechanics and Engineering , vol.142 , pp. 215-234
    • Codina, R.1    Soto, O.2
  • 6
    • 0027611385 scopus 로고
    • Convergence analyses of Galerkin least-squares methods for advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations
    • L.P. Franca, T.J.R. Hughes, Convergence analyses of Galerkin least-squares methods for advective-diffusive forms of the Stokes and incompressible Navier-Stokes equations, Computer Methods in Applied Mechanics and Engineering 105 (1993) 285-298.
    • (1993) Computer Methods in Applied Mechanics and Engineering , vol.105 , pp. 285-298
    • Franca, L.P.1    Hughes, T.J.R.2
  • 7
    • 84968510911 scopus 로고
    • Numerical solution of the Navier-Stokes equations
    • A.J. Chorin, Numerical solution of the Navier-Stokes equations, Mathematics of Computation 22 (1968) 745-762.
    • (1968) Mathematics of Computation , vol.22 , pp. 745-762
    • Chorin, A.J.1
  • 8
    • 34250481480 scopus 로고
    • Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionaires (I)
    • R. Temam, Sur l'approximation de la solution des équations de Navier-Stokes par la méthode des pas fractionaires (I), Archives for Rational Mechanics and Analysis 32 (1969) 135-153.
    • (1969) Archives for Rational Mechanics and Analysis , vol.32 , pp. 135-153
    • Temam, R.1
  • 9
    • 0029104589 scopus 로고
    • A general algorithm for compressible and incompressible flow - Part I. The split characteristic-based scheme
    • O.C. Zienkiewicz, R. Codina, A general algorithm for compressible and incompressible flow - Part I. The split characteristic-based scheme, International Journal for Numerical Methods in Fluids 20 (1995) 869-885.
    • (1995) International Journal for Numerical Methods in Fluids , vol.20 , pp. 869-885
    • Zienkiewicz, O.C.1    Codina, R.2
  • 10
    • 0000686243 scopus 로고
    • On Chorin's projection method for incompressible Navier-Stokes equations
    • Springer, Berlin
    • R. Rannacher, On Chorin's projection method for incompressible Navier-Stokes equations, Lecture Notes in Mathematics, vol. 1530, Springer, Berlin, 1992, pp. 167-183.
    • (1992) Lecture Notes in Mathematics , vol.1530 , pp. 167-183
    • Rannacher, R.1
  • 13
    • 0004822190 scopus 로고    scopus 로고
    • A stabilized finite element method for generalized stationary incompressible flows
    • in press
    • R. Codina, A stabilized finite element method for generalized stationary incompressible flows, Computer Methods in Applied Mechanics and Engineering, in press.
    • Computer Methods in Applied Mechanics and Engineering
    • Codina, R.1
  • 16
    • 0030503035 scopus 로고    scopus 로고
    • Anisotropic mesh refinement in stabilized Galerkin methods
    • Th. Apel, G. Lube, Anisotropic mesh refinement in stabilized Galerkin methods, Numerische Mathematik 74 (1996) 261-282.
    • (1996) Numerische Mathematik , vol.74 , pp. 261-282
    • Apel, Th.1    Lube, G.2
  • 17
    • 0032399566 scopus 로고    scopus 로고
    • A term by term stabilization algorithm for the finite element solution of incompressible flow problems
    • T. Chacón, A term by term stabilization algorithm for the finite element solution of incompressible flow problems, Numerische Mathematik 79 (1998) 283-319.
    • (1998) Numerische Mathematik , vol.79 , pp. 283-319
    • Chacón, T.1
  • 18
    • 0034681607 scopus 로고    scopus 로고
    • Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
    • R. Codina, J. Blasco, Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection, Computer Methods in Applied Mechanics and Engineering 182 (2000) 287-300.
    • (2000) Computer Methods in Applied Mechanics and Engineering , vol.182 , pp. 287-300
    • Codina, R.1    Blasco, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.