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Volumn , Issue , 2004, Pages

Stabilized finite element methods for the stokes problem based on polynomial pressure projections

Author keywords

Projection operators; Stabilized finite element methods; Stokes problem

Indexed keywords

COMPUTATIONAL PROPERTIES; EDGE-BASED DATA STRUCTURES; HIGHER ORDER DERIVATIVES; INCOMPRESSIBLE STOKES EQUATION; LOCAL POLYNOMIAL PRESSURE PROJECTION; PROJECTION OPERATOR; STABILIZED FINITE ELEMENT METHODS; STOKES PROBLEM;

EID: 84893510014     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (1)

References (17)
  • 2
    • 85140869992 scopus 로고    scopus 로고
    • A taxonomy of consistently stabilized finite element methods for the stokes problem
    • to appear
    • T. Barth, P. Bochev, M. Gunzburger, J. Shadid, A taxonomy of consistently stabilized finite element methods for the Stokes problem, to appear in SIAM J. Sci. Comput.
    • SIAM J. Sci. Comput.
    • Barth, T.1    Bochev, P.2    Gunzburger, M.3    Shadid, J.4
  • 3
    • 0027574109 scopus 로고
    • Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
    • M. Behr, L. Franca, and T. Tezduyar, Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows, Computer Methods in Appl. Mech. Engrg., 104, pp. 31-48, 1993.
    • (1993) Computer Methods in Appl. Mech. Engrg. , vol.104 , pp. 31-48
    • Behr, M.1    Franca, L.2    Tezduyar, T.3
  • 4
    • 0034681607 scopus 로고    scopus 로고
    • Stabilized finite element method for the transient navier-stokes equations based on a pressure gradient projection
    • J. Blasco and R. Codina, Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection, Comp. Meth. Appl. Mech. Engrg., 182, pp. 277-300, 2000.
    • (2000) Comp. Meth. Appl. Mech. Engrg. , vol.182 , pp. 277-300
    • Blasco, J.1    Codina, R.2
  • 5
    • 0035451015 scopus 로고    scopus 로고
    • Space and time error estimates for a first-order, pressure stabilized finite element method for the incompressible navier-stokes equations
    • J. Blasco and R. Codina, Space and time error estimates for a first-order, pressure stabilized finite element method for the incompressible Navier-Stokes equations, Appl. Numer. Math., 38, pp. 475-497, 2001.
    • (2001) Appl. Numer. Math. , vol.38 , pp. 475-497
    • Blasco, J.1    Codina, R.2
  • 6
    • 33751528291 scopus 로고    scopus 로고
    • Stabilization of low-order mixed finite elements for the stokes equations
    • submitted to
    • P. Bochev, C. Dohrmann and M. D. Gunzburger, Stabilization of low-order mixed finite elements for the Stokes equations, submitted to SIAM J. Num. Anal.
    • SIAM J. Num. Anal.
    • Bochev, P.1    Dohrmann, C.2    Gunzburger, M.D.3
  • 7
    • 0016093926 scopus 로고
    • On existence, uniqueness and approximation of saddle-point problems arising from lagrangian multipliers
    • F. Brezzi, On existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers, RAIRO Model. Math. Anal. Numer., 21, pp. 129-151, 1974.
    • (1974) RAIRO Model. Math. Anal. Numer. , vol.21 , pp. 129-151
    • Brezzi, F.1
  • 8
    • 84893483060 scopus 로고    scopus 로고
    • A stabilized finite element method for the stokes problem based on polynomial pressure projections
    • submitted to
    • C. Dohrmann and P. Bochev, A stabilized finite element method for the Stokes problem based on polynomial pressure projections, submitted to Int. J. Numer. Meth. Fluids.
    • Int. J. Numer. Meth. Fluids
    • Dohrmann, C.1    Bochev, P.2
  • 9
    • 84966220003 scopus 로고
    • An absolutely stabilized finite element method for the stokes problem
    • J. Douglas and J. Wang, An absolutely stabilized finite element method for the Stokes problem, Math. Comp., 52, pp. 495-508, 1989.
    • (1989) Math. Comp. , vol.52 , pp. 495-508
    • Douglas, J.1    Wang, J.2
  • 10
    • 0347487573 scopus 로고
    • An analysis of the penalty method and extrapolation for the stationary stokes equations
    • ed. by R. Vichnevetsky, AICA
    • R. Falk, An analysis of the penalty method and extrapolation for the stationary Stokes equations, in Advances in Computer Methods for Partial Differential Equations, ed. by R. Vichnevetsky, AICA, pp. 66-69, 1975.
    • (1975) Advances in Computer Methods for Partial Differential Equations , pp. 66-69
    • Falk, R.1
  • 13
    • 0023450642 scopus 로고
    • A new finite element formulation for computational fluid dynamics: Vii. The stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity pressure spaces
    • T. Hughes and L. Franca, A new finite element formulation for computational fluid dynamics: VII. The Stokes problem with various well-posed boundary conditions: symmetric formulations that converge for all velocity pressure spaces, Comput. Meth. Appl. Mech. Engrg., 65, pp. 85-96, 1987.
    • (1987) Comput. Meth. Appl. Mech. Engrg. , vol.65 , pp. 85-96
    • Hughes, T.1    Franca, L.2
  • 14
    • 0022810283 scopus 로고
    • A new finite element formulation for computational fluid dynamics: V. Circumventing the babuska-brezzi condition: A stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations
    • T. Hughes, L. Franca, and M. Balestra, A new finite element formulation for computational fluid dynamics: V. Circumventing the Babuska-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Comput. Meth. Appl. Mech. Engrg., 59, pp. 85-99, 1986.
    • (1986) Comput. Meth. Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.1    Franca, L.2    Balestra, M.3
  • 15
    • 84966222934 scopus 로고
    • A multigrid version of a simple finite element method for the stokes problem
    • J. Pitkaranta and T. Saarinen, A multigrid version of a simple finite element method for the Stokes problem, Math. Comp., 45, pp. 1-14, 1985.
    • (1985) Math. Comp. , vol.45 , pp. 1-14
    • Pitkaranta, J.1    Saarinen, T.2
  • 16
    • 0025404289 scopus 로고
    • Stabilized bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the stokes problem
    • D. J. Silvester and N. Kechkar, Stabilized bilinear-constant velocity-pressure finite elements for the conjugate gradient solution of the Stokes Problem, Comp. Meth. Appl. Mech. Engrg., 79, pp. 71-86, 1990.
    • (1990) Comp. Meth. Appl. Mech. Engrg. , vol.79 , pp. 71-86
    • Silvester, D.J.1    Kechkar, N.2
  • 17
    • 0028256717 scopus 로고
    • Optimal low-order finite element methods for incompressible flow
    • D.J. Silvester, Optimal low-order finite element methods for incompressible flow, Comp. Meth. Appl. Mech. Engrg., 111, pp. 357-368, 1994.
    • (1994) Comp. Meth. Appl. Mech. Engrg. , vol.111 , pp. 357-368
    • Silvester, D.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.