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Volumn 454, Issue 1976, 1998, Pages 2023-2039

Iterative subspace correction methods for thin elastic structures and Korn's type inequality in subspaces

Author keywords

Discrete and semi discrete approximation; Large scale problems; Robust iterative methods; Shells, plates, rods, arches, beams; Three dimensional elasticity; Uniform convergence in thickness and discretization parameters

Indexed keywords


EID: 33746677463     PISSN: 13645021     EISSN: None     Source Type: Journal    
DOI: 10.1098/rspa.1998.0247     Document Type: Article
Times cited : (7)

References (28)
  • 1
    • 21744435054 scopus 로고    scopus 로고
    • Preconditioning discrete approximations of the Reissner-Mindlin plate model
    • Arnold, D. N., Falk, R. S. & Winther, R. 1997 Preconditioning discrete approximations of the Reissner-Mindlin plate model. Math. Model. Numer. Analysis 31, 517-557.
    • (1997) Math. Model. Numer. Analysis , vol.31 , pp. 517-557
    • Arnold, D.N.1    Falk, R.S.2    Winther, R.3
  • 4
    • 0032376405 scopus 로고    scopus 로고
    • A negative-norm least squares method for Reissner-Mindlin plates
    • Bramble, J. H. & Sun, T. 1998 A negative-norm least squares method for Reissner-Mindlin plates. Math. Comp. 67, 901-916.
    • (1998) Math. Comp. , vol.67 , pp. 901-916
    • Bramble, J.H.1    Sun, T.2
  • 5
    • 0030526819 scopus 로고    scopus 로고
    • Multigrid methods for parameter dependent problems
    • Brenner, S. 1996 Multigrid methods for parameter dependent problems. Math. Model. Numer. Analysis 30, 265-297.
    • (1996) Math. Model. Numer. Analysis , vol.30 , pp. 265-297
    • Brenner, S.1
  • 7
    • 0032117954 scopus 로고    scopus 로고
    • The method of arbitrary lines in optimal shape designproblems with an elliptic state equation
    • Chleboun, J. & Xanthis, L. S. 1998 The method of arbitrary lines in optimal shape designproblems with an elliptic state equation. Comput. Meth. Appl. Mech. Engng 160, 1-22.
    • (1998) Comput. Meth. Appl. Mech. Engng , vol.160 , pp. 1-22
    • Chleboun, J.1    Xanthis, L.S.2
  • 9
    • 0000390501 scopus 로고
    • Existence theorems in elasticity
    • Berlin: Springer.
    • Fichera, G. 1972 Existence theorems in elasticity. In Handbuch der physik (ed. S. Flügge & C. Truesdell), vol. 6a/2, pp. 347-389. Berlin: Springer.
    • (1972) In Handbuch Der Physik Ed. S. Flügge , vol.6 A , Issue.2 , pp. 347-389
    • Fichera, G.1    Truesdell, C.2
  • 11
    • 0007958804 scopus 로고
    • Multilevelmethoden als iterationsverfahren über erzeugendensystemen
    • Griebel, M. 1994 Multilevelmethoden als iterationsverfahren über erzeugendensystemen. Stuttgart: Teubner.
    • (1994) Stuttgart: Teubner.
    • Griebel, M.1
  • 15
    • 84861731976 scopus 로고
    • Method of splitting into subspaces for solving elliptic boundaryvalue problems in complex-form domains
    • Nepomnyaschikh, S. V. 1991 Method of splitting into subspaces for solving elliptic boundaryvalue problems in complex-form domains. Sov. J. Numer. Analysis Math. Model. 6, 151-168.
    • (1991) Sov. J. Numer. Analysis Math. Model. , vol.6 , pp. 151-168
    • Nepomnyaschikh, S.V.1
  • 18
    • 0030387084 scopus 로고    scopus 로고
    • A new Korn's type inequality for thin domains and its application to iterative methods
    • Ovtchinnikov, E. E. & Xanthis, L. S. 1996 A new Korn's type inequality for thin domains and its application to iterative methods. Comput. Meth. Appl. Mech. Engng 138, 299-315.
    • (1996) Comput. Meth. Appl. Mech. Engng , vol.138 , pp. 299-315
    • Ovtchinnikov, E.E.1    Xanthis, L.S.2
  • 20
    • 0039597565 scopus 로고    scopus 로고
    • The Korn's type inequality in subspaces and thin elastic structures
    • Ovtchinnikov, E. E. & Xanthis, L. S. 19976 The Korn's type inequality in subspaces and thin elastic structures. Proc. R. Soc. Land. A 453, 2003-2016.
    • (1997) Proc. R. Soc. Land. a , vol.453 , pp. 2003-2016
    • Ovtchinnikov, E.E.1    Xanthis, L.S.2
  • 21
    • 0032115616 scopus 로고    scopus 로고
    • The discrete Korn's type inequality in subspaces and thin elastic structures
    • Ovtchinnikov, E. E. & Xanthis, L. S. 1998 The discrete Korn's type inequality in subspaces and thin elastic structures. Comput. Mcth. Appl. Mech. Engng 160, 23-37.
    • (1998) Comput. Mcth. Appl. Mech. Engng , vol.160 , pp. 23-37
    • Ovtchinnikov, E.E.1    Xanthis, L.S.2
  • 22
    • 33746707050 scopus 로고
    • Solving large-scale problems in mechanics
    • Papadrakakis, M. (ed) 1993 Solving large-scale problems in mechanics. New York: Wiley.
    • (1993) New York: Wiley.
    • Papadrakakis, M.1
  • 23
    • 33746718841 scopus 로고    scopus 로고
    • Parallel solution methods in computational mechanics
    • Papadrakakis, M. (ed.) 1997 Parallel solution methods in computational mechanics. New York: Wiley.
    • (1997) New York: Wiley.
    • Papadrakakis, M.1
  • 24
    • 0000453571 scopus 로고
    • An optimal domain decomposition preconditioner for the finite element solution of linear elasticity problems
    • Smith, B. 1992 An optimal domain decomposition preconditioner for the finite element solution of linear elasticity problems. SIAM Jl Sei. Stat. Comput. 13, 304-378.
    • (1992) SIAM Jl Sei. Stat. Comput. , vol.13 , pp. 304-378
    • Smith, B.1
  • 25
    • 0003419897 scopus 로고    scopus 로고
    • Domain decomposition: Parallel multilevel methods for elliptic partial differential equations
    • Smith, B., Bj0rstad, P. & Gropp, W. 1996 Domain decomposition: parallel multilevel methods for elliptic partial differential equations. Cambridge University Press.
    • (1996) Cambridge University Press.
    • Smith, B.1    Bjorstad, P.2    Gropp, W.3
  • 26
    • 0039597557 scopus 로고
    • The method of arbitrary lines-an h-p error analysis for singular problems
    • Schwab, C. & Xanthis, L. S. 1992 The method of arbitrary lines-an h-p error analysis for singular problems. C.R. Acad. Sei. Paris, Série I 315, 1451-1450.
    • (1992) C.R. Acad. Sei. Paris, Série I , vol.315 , pp. 1451-11450
    • Schwab, C.1    Xanthis, L.S.2
  • 28
    • 0000570696 scopus 로고
    • Iterative methods by subspace decomposition and subspace correction
    • Xu, J. 1992 Iterative methods by subspace decomposition and subspace correction. SIAM Rev. 34, 581-613.
    • (1992) SIAM Rev. , vol.34 , pp. 581-613
    • Xu, J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.