메뉴 건너뛰기




Volumn 13, Issue 3, 2003, Pages 295-307

Nonconforming mixed elements for elasticity

Author keywords

Elasticity; Mixed method; Nonconforming finite element

Indexed keywords


EID: 0037357330     PISSN: 02182025     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0218202503002507     Document Type: Article
Times cited : (102)

References (16)
  • 1
    • 0002802068 scopus 로고
    • Equilibrium finite elements for the linear elastic problem
    • M. Amara and J.-M. Thomas, Equilibrium finite elements for the linear elastic problem, Numer. Math. 33 (1979) 367-383.
    • (1979) Numer. Math. , vol.33 , pp. 367-383
    • Amara, M.1    Thomas, J.-M.2
  • 2
    • 0000369744 scopus 로고
    • PEERS: A new mixed finite element for plane elasticity
    • D. N. Arnold, F. Brezzi and J. Douglas, Jr., PEERS: A new mixed finite element for plane elasticity, Jpn. J. Appl. Math. 1 (1984) 347-367.
    • (1984) Jpn. J. Appl. Math. , vol.1 , pp. 347-367
    • Arnold, D.N.1    Brezzi, F.2    Douglas J., Jr.3
  • 3
    • 34250136581 scopus 로고
    • A family of higher order mixed finite element methods for plane elasticity
    • D. N. Arnold, J. Douglas, Jr. and C. P. Gupta, A family of higher order mixed finite element methods for plane elasticity, Numer. Math. 45 (1984) 1-22.
    • (1984) Numer. Math. , vol.45 , pp. 1-22
    • Arnold, D.N.1    Douglas J., Jr.2    Gupta, C.P.3
  • 4
    • 0002167911 scopus 로고
    • A new mixed formulation for elasticity
    • D. N. Arnold and R. S. Falk, A new mixed formulation for elasticity, Numer. Math. 53 (1988) 13-30.
    • (1988) Numer. Math. , vol.53 , pp. 13-30
    • Arnold, D.N.1    Falk, R.S.2
  • 5
    • 0036768154 scopus 로고    scopus 로고
    • Mixed finite elements for elasticity
    • D. N. Arnold and R. Winther, Mixed finite elements for elasticity, Numer. Math. 92 (2002) 401-419.
    • (2002) Numer. Math. , vol.92 , pp. 401-419
    • Arnold, D.N.1    Winther, R.2
  • 6
    • 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, Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge 8 (1974) 129-151.
    • (1974) Rev. Française Automat. Informat. Recherche Opérationnelle Sér. Rouge , vol.8 , pp. 129-151
    • Brezzi, F.1
  • 8
    • 0003357857 scopus 로고    scopus 로고
    • A complex from linear elasticity
    • M. Eastwood, A complex from linear elasticity, Rend. Circ. Mat. Palermo Suppl. (2000) 23-29.
    • (2000) Rend. Circ. Mat. Palermo , Issue.SUPPL. , pp. 23-29
    • Eastwood, M.1
  • 9
    • 0002646068 scopus 로고
    • Displacement and equilibrium models in the finite element method
    • eds. O. C. Zienkiewics and G. S. Holister (Wiley)
    • B. M. Fraejis de Veubeke, Displacement and Equilibrium Models in the Finite Element Method, Stress Analysis eds. O. C. Zienkiewics and G. S. Holister (Wiley, 1965), pp. 145-197.
    • (1965) Stress Analysis , pp. 145-197
    • Fraejis de Veubeke, B.M.1
  • 10
    • 0001605769 scopus 로고
    • Some equilibrium finite element methods for two-dimensional elasticity problems
    • C. Johnson and B. Mercier, Some equilibrium finite element methods for two-dimensional elasticity problems, Numer. Math. 30 (1978) 103-116.
    • (1978) Numer. Math. , vol.30 , pp. 103-116
    • Johnson, C.1    Mercier, B.2
  • 12
    • 0025522403 scopus 로고
    • Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity
    • E. Stein and R. Rolfes, Mechanical conditions for stability and optimal convergence of mixed finite elements for linear plane elasticity, Comput. Methods Appl. Mech. Engrg. 84 (1990) 77-95.
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.84 , pp. 77-95
    • Stein, E.1    Rolfes, R.2
  • 13
    • 0000449237 scopus 로고
    • On the construction of optimal mixed finite element methods for the linear elasticity problem
    • R. Stenberg, On the construction of optimal mixed finite element methods for the linear elasticity problem, Numer. Math. 48 (1986) 447-462.
    • (1986) Numer. Math. , vol.48 , pp. 447-462
    • Stenberg, R.1
  • 14
    • 0000397723 scopus 로고
    • A family of mixed finite elements for the elasticity problem
    • _, A family of mixed finite elements for the elasticity problem, Numer. Math. 53 (1988) 513-538.
    • (1988) Numer. Math. , vol.53 , pp. 513-538
  • 15
    • 0012966907 scopus 로고
    • Two low-order mixed methods for the elasticity problem
    • (Uxbridge) (Academic Press)
    • _, Two low-order mixed methods for the elasticity problem, in The Mathematics of Finite Elements and Applications, VI (Uxbridge, 1987) (Academic Press, 1988), pp. 271-280.
    • (1987) The Mathematics of Finite Elements and Applications, VI , pp. 271-280
  • 16
    • 0000600267 scopus 로고
    • An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems
    • V. B. Watwood Jr. and B. J. Hartz, An equilibrium stress field model for finite element solution of two-dimensional elastostatic problems, Internat. J. Solids Structures 4 (1968) 857-873.
    • (1968) Internat. J. Solids Structures , vol.4 , pp. 857-873
    • Watwood V.B., Jr.1    Hartz, B.J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.