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Volumn 93, Issue 1, 1998, Pages 11-29

A conforming mixed finite element method for the pure traction problem of linear elasticity

Author keywords

Conforming finite elements; Lam Constants; Linear elasticity; Mixed formulation; Pure traction problem

Indexed keywords

BOUNDARY VALUE PROBLEMS; CONVERGENCE OF NUMERICAL METHODS; ELASTICITY; INTEGRATION; NUMERICAL ANALYSIS; PROBLEM SOLVING; TRACTION (FRICTION);

EID: 0032123046     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0096-3003(97)10073-X     Document Type: Article
Times cited : (11)

References (12)
  • 1
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    • (1982) J. Numer. Meth. Eng. , vol.18 , pp. 323-341
    • Babuška, I.1    Szabo, B.2
  • 2
    • 34250154462 scopus 로고
    • An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates
    • M. Vogelius, An analysis of the p-version of the finite element method for nearly incompressible materials. Uniformly valid, optimal error estimates, Numer. Math. 41 (1983) 39-53.
    • (1983) Numer. Math. , vol.41 , pp. 39-53
    • Vogelius, M.1
  • 3
    • 84966201698 scopus 로고
    • Nonconforming finite element methods for the equations of linear elasticity
    • R.S. Falk, Nonconforming finite element methods for the equations of linear elasticity, Math. Comp. 57 (1991) 529-550.
    • (1991) Math. Comp. , vol.57 , pp. 529-550
    • Falk, R.S.1
  • 4
    • 84968487611 scopus 로고
    • Linear finite element methods for planar linear elasticity
    • S.C. Brenner, L.Y. Sung, Linear finite element methods for planar linear elasticity, Math. Comp. 59 (1992) 321-338.
    • (1992) Math. Comp. , vol.59 , pp. 321-338
    • Brenner, S.C.1    Sung, L.Y.2
  • 5
    • 84968522697 scopus 로고
    • A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity
    • S.C. Brenner, A nonconforming mixed multigrid method for the pure traction problem in planar linear elasticity. Math. Comp. 63 (1994) 435-460, S1-S5.
    • (1994) Math. Comp. , vol.63 , pp. 435-460
    • Brenner, S.C.1
  • 6
    • 0003385001 scopus 로고
    • Error estimates for finite element method solution of the Stokes problem in the primitive variables
    • M. Bercovier, O. Pironneau, Error estimates for finite element method solution of the Stokes problem in the primitive variables, Numer. Math. 33 (1979) 211-224.
    • (1979) Numer. Math. , vol.33 , pp. 211-224
    • Bercovier, M.1    Pironneau, O.2
  • 9
    • 0000658992 scopus 로고
    • Singularités en elasticité
    • P. Grisvard, Singularités en elasticité, Arch. Rat. Mech. Anal. 107 (1989) 157-180.
    • (1989) Arch. Rat. Mech. Anal. , vol.107 , pp. 157-180
    • Grisvard, P.1
  • 11
    • 0000667107 scopus 로고
    • On Korn's second inequality
    • J. Nitche, On Korn's second inequality, RAIRO 15 (1981) 237-248.
    • (1981) RAIRO , vol.15 , pp. 237-248
    • Nitche, J.1
  • 12
    • 0015762231 scopus 로고
    • Conforming and nonconforming finite element methods for solving the stationary Stokes equations I
    • M. Crouzeix, P.-A. Raviart, Conforming and nonconforming finite element methods for solving the stationary Stokes equations I, RAIRO Anal. Numér. Sér. 7 (R-3) (1973) 33-75.
    • (1973) RAIRO Anal. Numér Sér. , vol.7 , Issue.R-3 , pp. 33-75
    • Crouzeix, M.1    Raviart, P.-A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.