메뉴 건너뛰기




Volumn 79, Issue 2, 1997, Pages 215-234

Finite element methods for Timoshenko beam, circular arch and Reissner-Mindlin plate problems

Author keywords

Bubble function space; Circular arch problem; Finite element method; Locking phenomenon; Reduced integration technique; Reissner Mindlin plate problem; Timoshenko beam problem

Indexed keywords

COMPUTATIONAL METHODS; ERROR ANALYSIS; INTEGRATION; PROBLEM SOLVING; STRUCTURAL ANALYSIS; STRUCTURAL MEMBERS;

EID: 0031095491     PISSN: 03770427     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0377-0427(97)00159-3     Document Type: Article
Times cited : (17)

References (24)
  • 1
  • 2
    • 0001567209 scopus 로고
    • Discretization by finite elements of a model parameter dependent problem
    • D.N. Arnold, Discretization by finite elements of a model parameter dependent problem, Numer. Math. 37 (1981) 405-421.
    • (1981) Numer. Math. , vol.37 , pp. 405-421
    • Arnold, D.N.1
  • 3
    • 0001214001 scopus 로고
    • A uniformly accurate finite element method for the Reissner-Mindlin plate
    • D.N. Arnold and R.S. Falk, A uniformly accurate finite element method for the Reissner-Mindlin plate, SIAM J. Numer. Anal. 26 (1989) 1276-1290.
    • (1989) SIAM J. Numer. Anal. , vol.26 , pp. 1276-1290
    • Arnold, D.N.1    Falk, R.S.2
  • 4
    • 0000967937 scopus 로고
    • The boundary layer for the Reissner-Mindlin plate model
    • D.N. Arnold and R.S. Falk, The boundary layer for the Reissner-Mindlin plate model, SIAM J. Math. Anal. 21 (1990) 281-312.
    • (1990) SIAM J. Math. Anal. , vol.21 , pp. 281-312
    • Arnold, D.N.1    Falk, R.S.2
  • 5
    • 21144470531 scopus 로고
    • Mixed finite element methods for elastic rods of arbitrary geometry
    • K. Arunakirinathar and B.D. Reddy, Mixed finite element methods for elastic rods of arbitrary geometry, Numer. Math. 64 (1993) 13-43.
    • (1993) Numer. Math. , vol.64 , pp. 13-43
    • Arunakirinathar, K.1    Reddy, B.D.2
  • 7
  • 8
    • 84966254458 scopus 로고
    • Numerical approximation of Mindlin-Reissner plates
    • F. Brezzi and M. Fortin, Numerical approximation of Mindlin-Reissner plates, Math. Comput. 47 (1986) 151-158.
    • (1986) Math. Comput. , vol.47 , pp. 151-158
    • Brezzi, F.1    Fortin, M.2
  • 10
    • 0000083083 scopus 로고
    • Error analysis of mixed-interpolated elements for Reissner-Mindlin plates
    • F. Brezzi, M. Fortin and R. Stenberg, Error analysis of mixed-interpolated elements for Reissner-Mindlin plates, Math. Models Meth. Appl. Sci. 1 (1991) 125-151.
    • (1991) Math. Models Meth. Appl. Sci. , vol.1 , pp. 125-151
    • Brezzi, F.1    Fortin, M.2    Stenberg, R.3
  • 12
    • 0003406799 scopus 로고
    • The inf-sup condition and error estimates for the Arnold-Falk plate bending element
    • R. Duran, The inf-sup condition and error estimates for the Arnold-Falk plate bending element, Numer. Math. 59 (1991) 769-778.
    • (1991) Numer. Math. , vol.59 , pp. 769-778
    • Duran, R.1
  • 13
    • 0026204787 scopus 로고
    • A finite element method for the Mindlin-Reissner plate model
    • R. Duran, A. Ghiold and N. Wolanski, A finite element method for the Mindlin-Reissner plate model, SIAM J. Numer. Anal. 28 (1991) 1004-1014.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 1004-1014
    • Duran, R.1    Ghiold, A.2    Wolanski, N.3
  • 14
    • 84968515343 scopus 로고
    • On mixed finite element methods for the Reissner-Mindlin plate model
    • R. Duran and E. Liberman, On mixed finite element methods for the Reissner-Mindlin plate model, Math. Comput. 58 (1992) 561-573.
    • (1992) Math. Comput. , vol.58 , pp. 561-573
    • Duran, R.1    Liberman, E.2
  • 15
    • 0026135994 scopus 로고
    • Quasi-optimal pointwise error estimates for the Reissner-Mindlin plate
    • L. Gastald and R.H. Nochetto, Quasi-optimal pointwise error estimates for the Reissner-Mindlin plate, SIAM J. Numer. Anal. 28 (1991) 363-377.
    • (1991) SIAM J. Numer. Anal. , vol.28 , pp. 363-377
    • Gastald, L.1    Nochetto, R.H.2
  • 16
    • 0042499562 scopus 로고
    • Discretization of the Timoshenko beam problem by the p and h-p versions of the finite element method
    • L. Li, Discretization of the Timoshenko beam problem by the p and h-p versions of the finite element method, Numer. Math. 57 (1990) 413-420.
    • (1990) Numer. Math. , vol.57 , pp. 413-420
    • Li, L.1
  • 18
    • 0040152369 scopus 로고
    • A multigrid method for Reissner-Mindlin plates
    • P. Peisker, A multigrid method for Reissner-Mindlin plates, Numer. Math. 59 (1991) 511-528.
    • (1991) Numer. Math. , vol.59 , pp. 511-528
    • Peisker, P.1
  • 20
    • 84985321061 scopus 로고
    • Regularization procedures of mixed finite element approximations of the stokes problem
    • R. Pierre, Regularization procedures of mixed finite element approximations of the Stokes problem, Numer. Meth. Partial Diff. Equations 5 (1989) 241-258.
    • (1989) Numer. Meth. Partial Diff. Equations , vol.5 , pp. 241-258
    • Pierre, R.1
  • 21
    • 84966241993 scopus 로고
    • Convergence properties and numerical approximation of the solution of the Mindlin plate bending problem
    • R. Pierre, Convergence properties and numerical approximation of the solution of the Mindlin plate bending problem, Math. Comput. 51 (1988) 15-25.
    • (1988) Math. Comput. , vol.51 , pp. 15-25
    • Pierre, R.1
  • 22
    • 0001092702 scopus 로고
    • Convergence of mixed finite element method approximations for the shallow arch problem
    • B.D. Reddy, Convergence of mixed finite element method approximations for the shallow arch problem, Numer. Math. 53 (1988) 687-699.
    • (1988) Numer. Math. , vol.53 , pp. 687-699
    • Reddy, B.D.1
  • 23
    • 0026861339 scopus 로고
    • Mixed finite element method for the circular arch problem
    • B.D. Reddy and M.B. Volpi, Mixed finite element method for the circular arch problem, Comput. Meth. Appl. Mech. Eng. 97 (1992) 125-145.
    • (1992) Comput. Meth. Appl. Mech. Eng. , vol.97 , pp. 125-145
    • Reddy, B.D.1    Volpi, M.B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.