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Volumn 40, Issue 3, 1997, Pages 285-300

Finite element method based on combination of "saddle point" variational formulations

Author keywords

Error estimates; Mixed hybrid finite element; Saddle point problem; Stabilized method

Indexed keywords


EID: 0000489102     PISSN: 10069321     EISSN: None     Source Type: Journal    
DOI: 10.1007/bf02916604     Document Type: Article
Times cited : (14)

References (14)
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  • 3
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    • A new finite element formulation of computational fluid dynamics, a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
    • Hughes, T. J. R., Franca, L. P., Balestra, M., A new finite element formulation of computational fluid dynamics, a stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations, Comp, Meth. Appl. Mech. Eng., 1986, 59: 85.
    • (1986) Comp, Meth. Appl. Mech. Eng. , vol.59 , pp. 85
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  • 4
    • 84968465056 scopus 로고
    • A least squares Petrov-Galerkin finite element method for the stationary Navier-Stokes equations
    • Zhou, T-X., Feng, M. -F., A least squares Petrov-Galerkin finite element method for the stationary Navier-Stokes equations, Math. Comp., 1993, 60(202): 531.
    • (1993) Math. Comp. , vol.60 , Issue.202 , pp. 531
    • Zhou, T.-X.1    Feng, M.F.2
  • 5
    • 0006352903 scopus 로고
    • On mixed finite element methods for the first elliptic systems
    • Fix, G. J., Gunzburger, M. D., Nicolaides, R. A., On mixed finite element methods for the first elliptic systems, Numer. Math., 1981, 37: 29.
    • (1981) Numer. Math. , vol.37 , pp. 29
    • Fix, G.J.1    Gunzburger, M.D.2    Nicolaides, R.A.3
  • 6
    • 0039270843 scopus 로고
    • On finite element approximation of the gradiant for the solution of Poisson equation
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    • (1980) Numer. Math. , vol.37 , pp. 333
    • Neittanmaki, P.1    Picard, R.2
  • 8
    • 0016093926 scopus 로고
    • On the existence, uniqueness and approximation of saddle point arising from Lagrange multipliers
    • Brezzi, F., On the existence, uniqueness and approximation of saddle point arising from Lagrange multipliers, RAIRO Anal. Numer., 1974, R-2: 129.
    • (1974) RAIRO Anal. Numer. , vol.R-2 , pp. 129
    • Brezzi, F.1
  • 10
    • 85080646198 scopus 로고
    • Stabilized finite element methods for a model parameter-dependent problem
    • eds. Ying, L., Guo, B., Singapore: World Scientific
    • Zhou, T.-X., Stabilized finite element methods for a model parameter-dependent problem, in Proceedings of the Second Conference on Numer. Meth. for Part. Differ. Equation (eds. Ying, L., Guo, B.), Singapore: World Scientific, 1991, 148156.
    • (1991) Proceedings of the Second Conference on Numer. Meth. for Part. Differ. Equation , pp. 148156
    • Zhou, T.-X.1
  • 11
    • 0000248920 scopus 로고
    • A partial projection method of finite element discretizations for the Reissner-Mindlin plate model
    • Zhou, T. X., A partial projection method of finite element discretizations for the Reissner-Mindlin plate model, J. Comput. Math., 1995, 13(2): 172.
    • (1995) J. Comput. Math. , vol.13 , Issue.2 , pp. 172
    • Zhou, T.X.1
  • 12
    • 0001175293 scopus 로고
    • A mixed finite element method for second order elliptic problems, Mathematical aspects of the finite element method
    • eds. Galligani, I., Magenics, E., New York: Springer-Verlag
    • Raviart, P. A., Thomas, J. N., A mixed finite element method for second order elliptic problems, Mathematical aspects of the finite element method (eds. Galligani, I., Magenics, E.), Lecture Notes in Math. 606, New York: Springer-Verlag, 1977.
    • (1977) Lecture Notes in Math. , vol.606
    • Raviart, P.A.1    Thomas, J.N.2
  • 13
    • 84966238632 scopus 로고
    • Primal hybrid finite element methods for second order elliptic equations
    • Raviart, P. A., Thomas, J. M., Primal hybrid finite element methods for second order elliptic equations, Math. Comp., 1977, 37: 391.
    • (1977) Math. Comp. , vol.37 , pp. 391
    • Raviart, P.A.1    Thomas, J.M.2
  • 14
    • 0008796121 scopus 로고
    • Equivalence theorem for saddle point finite element schemes and two criteria of strong Babuska condition
    • Zhou, T.-X., Equivalence theorem for saddle point finite element schemes and two criteria of strong Babuska condition, Scientia Sinica, 1981, 24: 1190.
    • (1981) Scientia Sinica , vol.24 , pp. 1190
    • Zhou, T.-X.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.