메뉴 건너뛰기




Volumn 42, Issue 165, 1984, Pages 9-23

Analysis of mixed finite element methods for the stokes problem: A unified approach

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84968512389     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-1984-0725982-9     Document Type: Article
Times cited : (181)

References (23)
  • 1
    • 34250459417 scopus 로고
    • The finite element method with Lagrangian multipliers
    • I. Babuska. The finite element method with Lagrangian multipliers, Numer. Math., v. 20, 1973, 179-192.
    • (1973) Numer. Math , vol.20 , pp. 179-192
    • Babuska, I.1
  • 2
    • 0018056241 scopus 로고
    • Perturbation of mixed variational problems. Application to mixed finite element methods
    • M. Bercovier. Perturbation of mixed variational problems. Application to mixed finite element methods, RAlROAnal. Numer. v. 12, 1978. 211-236.
    • (1978) Ralroanal. Numer , vol.12 , pp. 211-236
    • Bercovier, M.1
  • 3
    • 0001334246 scopus 로고
    • A finite element method for the numerical solution of viscous incompressible flows
    • M. Bercovier, M. Engelman, A finite element method for the numerical solution of viscous incompressible flows. Comput. Phys. v. 30, 1979, 181-201.
    • (1979) Comput. Phys , vol.30 , pp. 181-201
    • Bercovier, M.1    Engelman, M.2
  • 4
    • 0003385001 scopus 로고
    • Error estimates for finite element solution of the Stokes problem in the primitive variables
    • M. Bercovier, O. Pironneau, Error estimates for finite element solution of the Stokes problem in the primitive variables, Numer. Math., v. 33. 1979, 211-224.
    • (1979) Numer. Math , vol.33 , pp. 211-224
    • Bercovier, M.1    Pironneau, O.2
  • 5
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers
    • F. Brezzi, On the existence, uniqueness and approximation of saddle-point problems arising from Lagrangian multipliers. RAIRO Ser. Rouge, v. 8. 1974, 129-151
    • (1974) RAIRO Ser. Rouge , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 7
    • 0001043045 scopus 로고
    • Interpolation theory over curved elements, with applications to finite element methods
    • P. G. Ciarlet, P. A. Raviart. Interpolation theory over curved elements, with applications to finite element methods, Comput. Methods Appl. Mech. Engrg. v. 1, 1972, 217-249.
    • (1972) Comput. Methods Appl. Mech. Engrg , vol.1 , pp. 217-249
    • Ciarlet, P.G.1    Raviart, P.A.2
  • 8
    • 0016541865 scopus 로고
    • Approximation by finite elements using local regularization
    • P. Clement. Approximation by finite elements using local regularization RAIRO Ser Rouge, v.9. 1975. 77-84.
    • (1975) RAIRO Ser Rouge , vol.9 , pp. 77-84
    • Clement, P.1
  • 9
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations
    • M. Crouzeix, P. A. Ravi art. Conforming and nonconforming finite element methods for solving the stationary Stokes equations, RAIRO Ser Rouge, v. 7. 1973. 33-76.
    • (1973) RAIRO Ser Rouge , vol.7 , pp. 33-76
    • Crouzeix, M.1    Ravi Art, P.A.2
  • 10
    • 0019929655 scopus 로고
    • Consistent vs. Reduced integration penalty methods for incompressible media using several old and new elements, Internat
    • M. Engelman, R. Sani, P. Gresho, M Bercovier, Consistent vs. reduced integration penalty methods for incompressible media using several old and new elements, Internat. J. Numer. Methods Fluids, v. 2. 1982. 25-42.
    • (1982) J. Numer. Methods Fluids , vol.2 , pp. 25-42
    • Engelman, M.1    Sani, R.2    Gresho, P.3    Bercovier, M.4
  • 11
    • 0003197516 scopus 로고
    • Finite Element Approximation of the Navier Stokes Equations
    • Springer, Berlin
    • V. GIRAULT, P. A. Raviart. Finite Element Approximation of the Navier Stokes Equations, Lecture Notes in Math. Vol. 749. Springer, Berlin, 1979
    • (1979) Lecture Notes in Math , vol.749
    • Girault, V.1    Raviart, P.A.2
  • 12
    • 0016333399 scopus 로고
    • Navier Stokes equations using mixed interpolation
    • UAH Press, Huntsville, Alabama
    • P. Hood, C. Taylor, Navier Stokes equations using mixed interpolation. Finite Element Methods in Flow Problems. UAH Press, Huntsville, Alabama, 1974, 121-131.
    • (1974) Finite Element Methods in Flow Problems , pp. 121-131
    • Hood, P.1    Taylor, C.2
  • 13
    • 0018329975 scopus 로고
    • Finite element analysis of incompressible viscous flows by the penalty function formulation
    • T. J. Hughes, W. K. Liu, A. Brooks, Finite element analysis of incompressible viscous flows by the penalty function formulation, J. Comput. Phys., v. 30, 1979, 1-60.
    • (1979) J. Comput. Phys , vol.30 , pp. 1-60
    • Hughes, T.J.1    Liu, W.K.2    Brooks, A.3
  • 14
    • 0017942105 scopus 로고
    • A comparison of various mixed interpolation finite elements for the Navier Stokes equations
    • P. Huyakorn. C. Taylor. R. Lee, P. Gresho, A comparison of various mixed interpolation finite elements for the Navier Stokes equations, Comput. Fluids, v. 6, 1978, 25-35.
    • (1978) Comput. Fluids , vol.6 , pp. 25-35
    • Huyakorn, P.1    Taylor, C.2    Lee, R.3    Gresho, P.4
  • 15
    • 84968510953 scopus 로고
    • Analysis of some mixed finite element methods related to reduced integration
    • C. Johnson, J. Pitkäranta, Analysis of some mixed finite element methods related to reduced integration, Math. Comp., v. 38. 1982. 375-400.
    • (1982) Math. Comp , vol.38 , pp. 375-400
    • Johnson, C.1    Pitkäranta, J.2
  • 16
    • 0019584612 scopus 로고
    • Compatibility condition and existence results in discrete finite incompressible elasticity
    • P. Le Tallec, Compatibility condition and existence results in discrete finite incompressible elasticity. Comput. Methods Appl. Mech. Engrg., v. 27, 1981, 239-259.
    • (1981) Comput. Methods Appl. Mech. Engrg , vol.27 , pp. 239-259
    • Le Tallec, P.1
  • 17
    • 0017984529 scopus 로고
    • Mixed finite element methods reduced and selective integration techniques: A unification of concepts
    • D. Malkus, T. J. Hughes, Mixed finite element methods reduced and selective integration techniques: a unification of concepts, Comput. Mehtods Appl. Mech. Engrg., v. 15, 1978, 63-81.
    • (1978) Comput. Mehtods Appl. Mech. Engrg , vol.15 , pp. 63-81
    • Malkus, D.1    Hughes, T.J.2
  • 18
    • 0038168042 scopus 로고
    • Finite element subspaces with optimal rates of convergence for the stationary Stokes problem
    • L. Mansfield, Finite element subspaces with optimal rates of convergence for the stationary Stokes problem. RAlROAnal. Numer. v. 16. 1982, 49-66.
    • (1982) Ralroanal. Numer , vol.16 , pp. 49-66
    • Mansfield, L.1
  • 19
    • 24244467456 scopus 로고
    • On a mixed finite element method for the Stokes problem in Rs
    • J. Pitkäranta, On a mixed finite element method for the Stokes problem in Rs, RAIRO Anal Numer., v. 16, 1982, 275-291.
    • (1982) RAIRO Anal Numer , vol.16 , pp. 275-291
    • Pitkäranta, J.1
  • 20
    • 84966208664 scopus 로고
    • Analysis of some mixed finite element methods for plane elasticity equations
    • J. Pitkäranta, R. Stenberg, Analysis of some mixed finite element methods for plane elasticity equations, Math. Comp., v. 41, 1983, 399-423.
    • (1983) Math. Comp , vol.41 , pp. 399-423
    • Pitkäranta, J.1    Stenberg, R.2
  • 21
    • 0019353782 scopus 로고
    • The cause and cure of the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations
    • R. Sani, P. Gresho, R. Lee, D. Griffiths, The cause and cure of the spurious pressures generated by certain GFEM solutions of the incompressible Navier-Stokes equations, Internat. J. Numer. Methods Fluids, v. 1, 1981, 17-44
    • (1981) Internat. J. Numer. Methods Fluids , vol.1 , pp. 17-44
    • Sani, R.1    Gresho, P.2    Lee, R.3    Griffiths, D.4
  • 23
    • 84968493257 scopus 로고
    • Error Estimates for a Mixed Finite Element Approximation of the Stokes Equations
    • R. Verfürt, Error Estimates for a Mixed Finite Element Approximation of the Stokes Equations, Ruhr-Universität Bochum, 1982
    • (1982) Ruhr-Universität Bochum
    • Verfürt, R.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.