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Volumn 72, Issue 244, 2003, Pages 1655-1673

Stabilized hybrid finite element methods based on the combination of saddle point principles of elasticity problems

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EID: 0141976346     PISSN: 00255718     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0025-5718-03-01473-X     Document Type: Article
Times cited : (20)

References (20)
  • 3
    • 0032294378 scopus 로고    scopus 로고
    • Finite element methods of least-squares type
    • MR 99k:65104
    • Bochev P. B., Gunzburger M. D.: Finite element methods of least-squares type, SIAM Review 40 (1998), 789-837. MR 99k:65104
    • (1998) SIAM Review , vol.40 , pp. 789-837
    • Bochev, P.B.1    Gunzburger, M.D.2
  • 5
    • 0022810283 scopus 로고
    • A new finite element formulation of computational fluid dynamics, a stable Petrov-Galerkin formulation of the stokes problem accommodating equal-order interpolations
    • MR 89j:76015d; MR 89j:76015e
    • Hughes T. J. R., France 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. Comput. Methods Appl. Mech. Engrg. 59 (1986), 85-99. MR 89j:76015d; MR 89j:76015e
    • (1986) Comput. Methods Appl. Mech. Engrg. , vol.59 , pp. 85-99
    • Hughes, T.J.R.1    France, L.P.2    Balestra, M.3
  • 6
    • 38249032549 scopus 로고
    • A 20-DOF hybrid general shell element
    • Kang D. S., Pian T. H. H.: A 20-DOF hybrid general shell element. Comput. Struct. 30 (1988), 789-794.
    • (1988) Comput. Struct. , vol.30 , pp. 789-794
    • Kang, D.S.1    Pian, T.H.H.2
  • 8
    • 0030528392 scopus 로고    scopus 로고
    • Least-squares mixed finite element methods for non-selfadjoint elliptic problem: I. Error estimates
    • MR 9Tf:65068
    • Pehlivanov A. I., Carey G. F., Vassilevski P. S.: Least-squares mixed finite element methods for non-selfadjoint elliptic problem: I. Error estimates. Numer. Math. 72 (1996), 501-522. MR 9Tf:65068
    • (1996) Numer. Math. , vol.72 , pp. 501-522
    • Pehlivanov, A.I.1    Carey, G.F.2    Vassilevski, P.S.3
  • 9
    • 0021497441 scopus 로고
    • Rational approach for assumed stress finite elements
    • Pian T. H. H., Sumihara K.: Rational approach for assumed stress finite elements. Inter. J. Numer. Meth. Engrg. 20 (1984), 1685-1695.
    • (1984) Inter. J. Numer. Meth. Engrg. , vol.20 , pp. 1685-1695
    • Pian, T.H.H.1    Sumihara, K.2
  • 10
    • 0024099477 scopus 로고
    • A rational approach for choosing stress terms for hybrid finite element formulations. Internat
    • MR 89f:73052
    • Pian T. H. H., Wu C.-C.: A rational approach for choosing stress terms for hybrid finite element formulations. Internat. J. Numer. Meth. Engrg. 26 (1988), 2331-2343. MR 89f:73052
    • (1988) J. Numer. Meth. Engrg. , vol.26 , pp. 2331-2343
    • Pian, T.H.H.1    Wu, C.-C.2
  • 11
    • 0001677608 scopus 로고
    • A quadrilateral mixed finite element with two enhanced strain modes
    • MR 96a:73062
    • Piltner P., Taylor, R. L.: A quadrilateral mixed finite element with two enhanced strain modes. Internat. J. Numer. Meth. Engrg. 38 (1995), 1783-1808. MR 96a:73062
    • (1995) Internat. J. Numer. Meth. Engrg. , vol.38 , pp. 1783-1808
    • Piltner, P.1    Taylor, R.L.2
  • 12
    • 0033079918 scopus 로고    scopus 로고
    • A systematic construction of B-bar functions for linear and nonlinear mixed-enhanced finite elements for plane elasticity problems
    • MR 99j:73099
    • Piltner R., Taylor R. L.: A systematic construction of B-bar functions for linear and nonlinear mixed-enhanced finite elements for plane elasticity problems. Internat. J. Numer. Meth. Engrg. 44 (1999), 615-639. MR 99j:73099
    • (1999) Internat. J. Numer. Meth. Engrg. , vol.44 , pp. 615-639
    • Piltner, R.1    Taylor, R.L.2
  • 13
    • 84965043335 scopus 로고
    • Stability and convergence of a class of enhanced strain methods
    • MR 96k:73082a
    • Reddy B. D., Simo J. C.: Stability and convergence of a class of enhanced strain methods, SIAM J. Numer. Anal. 32 (1995), 1705-1728. MR 96k:73082a
    • (1995) SIAM J. Numer. Anal. , vol.32 , pp. 1705-1728
    • Reddy, B.D.1    Simo, J.C.2
  • 14
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes. Internat
    • MR 91d:73062
    • Simo J. C., Rifai M. S.: A class of mixed assumed strain methods and the method of incompatible modes. Internat. J. Numer. Meth. Engrg. 29 (1990), 1595-1638. MR 91d:73062
    • (1990) J. Numer. Meth. Engrg. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, M.S.2
  • 15
    • 0000919652 scopus 로고
    • A convergence condition for the quadrilateral Wilson element
    • MR 86d:65151
    • Shi. Z.-C.: A convergence condition for the quadrilateral Wilson element. Numer. Math. 44 (1984), 349-361. MR 86d:65151
    • (1984) Numer. Math. , vol.44 , pp. 349-361
    • Shi, Z.-C.1
  • 16
    • 0008796121 scopus 로고
    • Equivalency theorem for "saddle point" finite element schemes and two criteria of strong Babuška-Brezzi condition
    • MR 83e:65182
    • Zhou T.-X.: Equivalency theorem for "saddle point" finite element schemes and two criteria of strong Babuška-Brezzi condition. Sci. Sinica 24 (1981), 1190-1206. MR 83e:65182
    • (1981) Sci. Sinica , vol.24 , pp. 1190-1206
    • Zhou, T.-X.1
  • 17
    • 0022883596 scopus 로고
    • Mixed stiffness finite element (I) (II)
    • Zhou T.-X.: Mixed stiffness finite element (I) (II), Sci. Sinica Ser. A 29 (1986), 1233-1251; 30 (1987), 1-11. MR 88h:65221; MR 88h:65222
    • (1986) Sci. Sinica Ser. A , vol.29 , pp. 1233-1251
    • Zhou, T.-X.1
  • 18
    • 0022883596 scopus 로고
    • MR 88h:65221; MR 88h:65222
    • Zhou T.-X.: Mixed stiffness finite element (I) (II), Sci. Sinica Ser. A 29 (1986), 1233-1251; 30 (1987), 1-11. MR 88h:65221; MR 88h:65222
    • (1987) Sci. Sinica Ser. A , vol.30 , pp. 1-11
  • 19
    • 0000489102 scopus 로고    scopus 로고
    • Finite element method based on combination of "saddle point" variational formulations
    • MR 98e:65103
    • Zhou T.-X.: Finite element method based on combination of "saddle point" variational formulations. Sci. China Ser. E 40 (1997), 285-300. MR 98e:65103
    • (1997) Sci. China Ser. E , vol.40 , pp. 285-300
    • Zhou, T.-X.1
  • 20
    • 0035918610 scopus 로고    scopus 로고
    • Combined hybrid approach to finite element schemes of high performance
    • MR 2002a:74125
    • Zhou T.-X., Nie Y.-F.: Combined hybrid approach to finite element schemes of high performance. Internat. J. Numer. Meth. Engrg. 50 (2001), 181-202. MR 2002a:74125
    • (2001) Internat. J. Numer. Meth. Engrg. , vol.50 , pp. 181-202
    • Zhou, T.-X.1    Nie, Y.-F.2


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