메뉴 건너뛰기




Volumn 194, Issue 21-24 SPEC. ISS., 2005, Pages 2513-2533

Parallel multilevel solution of nonlinear shell structures

Author keywords

Algebraic multigrid; Iterative solvers; Multilevel preconditioning; Structural dynamics; Three dimensional shell

Indexed keywords

ALGORITHMS; COMPUTER SIMULATION; FINITE ELEMENT METHOD; ITERATIVE METHODS; PROBLEM SOLVING; STRUCTURAL ANALYSIS; THIN WALLED STRUCTURES;

EID: 16244383513     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2004.07.043     Document Type: Article
Times cited : (22)

References (30)
  • 1
    • 16244375337 scopus 로고    scopus 로고
    • Verbesserung und Beschleunigung von Lösungsverfahren für Versagensanalysen in der Strukturmechanik
    • Theorie und Parallelisierung: Schlußbericht des BMBF Vorhabens 01IR413A3, Institute of Mechanics, Institute of Applied Mathematics, University of Karlsruhe
    • G. Alefeld, I. Lenhardt, Th. Rottner, K. Schweizerhof, Verbesserung und Beschleunigung von Lösungsverfahren für Versagensanalysen in der Strukturmechanik, Theorie und Parallelisierung: Schlußbericht des BMBF Vorhabens 01IR413A3, Institute of Mechanics, Institute of Applied Mathematics, University of Karlsruhe, 1997
    • (1997)
    • Alefeld, G.1    Lenhardt, I.2    Rottner, Th.3    Schweizerhof, K.4
  • 2
    • 0022010474 scopus 로고
    • A four-node plate bending element based on Mindlin/Reissner theory
    • K.-J. Bathe E.N. Dvorkin A four-node plate bending element based on Mindlin/Reissner theory Int. J. Numer. Methods Engrg. 21 1985 367-383
    • (1985) Int. J. Numer. Methods Engrg. , vol.21 , pp. 367-383
    • Bathe, K.-J.1    Dvorkin, E.N.2
  • 3
    • 0003643850 scopus 로고    scopus 로고
    • Theorie und Numerik einer dreidimensionalen Schalenformulierung
    • Ph.D. Dissertation, Report No. 30, Institute of Structural Mechanics, University of Stuttgart
    • M. Bischoff, Theorie und Numerik einer dreidimensionalen Schalenformulierung. Ph.D. Dissertation, Report No. 30, Institute of Structural Mechanics, University of Stuttgart, 1999
    • (1999)
    • Bischoff, M.1
  • 4
    • 84892012114 scopus 로고    scopus 로고
    • Solid-like shell or shell-like solid formulation? A personal view
    • W. Wunderlich (Ed.) Proc. of the ECCM '99, Munich
    • M. Bischoff, E. Ramm, Solid-like shell or shell-like solid formulation? A personal view, in: W. Wunderlich (Ed.), Solids, Structures and Coupled Problems in Engineering, Proc. of the ECCM '99, Munich, 1999
    • (1999) Solids, Structures and Coupled Problems in Engineering
    • Bischoff, M.1    Ramm, E.2
  • 5
    • 0034325511 scopus 로고    scopus 로고
    • On the physical significance of higher order kinematics and static variables in a three-dimensional shell formulation
    • M. Bischoff E. Ramm On the physical significance of higher order kinematics and static variables in a three-dimensional shell formulation Int. J. Solids Struct. 37 2000 6933-6960
    • (2000) Int. J. Solids Struct. , vol.37 , pp. 6933-6960
    • Bischoff, M.1    Ramm, E.2
  • 6
    • 0028749788 scopus 로고
    • Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates
    • M. Braun M. Bischoff E. Ramm Nonlinear shell formulations for complete three-dimensional constitutive laws including composites and laminates Comput. Mech. 15 1994 1-18
    • (1994) Comput. Mech. , vol.15 , pp. 1-18
    • Braun, M.1    Bischoff, M.2    Ramm, E.3
  • 7
    • 0040088609 scopus 로고    scopus 로고
    • One black-box iterative solver
    • UCD/CCM Report 106, Center for Computational Mathematics, University of Colorado at Denver
    • M. Brezina, P. Vanek, One black-box iterative solver, UCD/CCM Report 106, Center for Computational Mathematics, University of Colorado at Denver, 1997
    • (1997)
    • Brezina, M.1    Vanek, P.2
  • 8
    • 0039096705 scopus 로고
    • 3D-Extension of nonlinear shell equations based on the enhanced assumed strain concept
    • C. Hirsch (Ed.) Elsevier
    • N. Büchter E. Ramm 3D-Extension of nonlinear shell equations based on the enhanced assumed strain concept in: C. Hirsch (Ed.) Comput. Mech. Appl. Sciences 1992 Elsevier 55-62
    • (1992) Comput. Mech. Appl. Sciences , pp. 55-62
    • Büchter, N.1    Ramm, E.2
  • 9
    • 0028483483 scopus 로고
    • Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept
    • N. Büchter E. Ramm D. Roehl Three-dimensional extension of nonlinear shell formulation based on the enhanced assumed strain concept Int. J. Numer. Methods Engrg. 37 1994 2551-2568
    • (1994) Int. J. Numer. Methods Engrg. , vol.37 , pp. 2551-2568
    • Bühter, N.1    Ramm, E.2    Roehl, D.3
  • 10
    • 0027610910 scopus 로고
    • A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method
    • J. Chung G.M. Hulbert A time integration algorithm for structural dynamics with improved numerical dissipation: The generalized-α method J. Appl. Mech. 60 1993 371-375
    • (1993) J. Appl. Mech. , vol.60 , pp. 371-375
    • Chung, J.1    Hulbert, G.M.2
  • 11
    • 0001159513 scopus 로고
    • Domain decomposition methods with small overlap
    • M. Dryja O.B. Widlund Domain decomposition methods with small overlap SIAM J. Sci. Comp. 15 1994 604-620
    • (1994) SIAM J. Sci. Comp. , vol.15 , pp. 604-620
    • Dryja, M.1    Widlund, O.B.2
  • 13
    • 0031383664 scopus 로고    scopus 로고
    • Generalized aggregation multilevel solver
    • J. Fish V. Belsky Generalized aggregation multilevel solver Int. J. Numer. Methods Engrg. 40 1997 4341-4361
    • (1997) Int. J. Numer. Methods Engrg. , vol.40 , pp. 4341-4361
    • Fish, J.1    Belsky, V.2
  • 14
    • 0019610759 scopus 로고
    • Finite elements based upon Mindlin Plate Theory with particular reference to the four-node bilinear isoparametric element
    • T.J.R. Hughes T.E. Tezduyar Finite elements based upon Mindlin Plate Theory with particular reference to the four-node bilinear isoparametric element J. Appl. Mech. 48 1981 587-596
    • (1981) J. Appl. Mech. , vol.48 , pp. 587-596
    • Hughes, T.J.R.1    Tezduyar, T.E.2
  • 18
    • 0032634013 scopus 로고    scopus 로고
    • Energy optimization of algebraic multigrid bases
    • J. Mandel M. Brezina P. Vanek Energy optimization of algebraic multigrid bases Computing 62 1999 205-228
    • (1999) Computing , vol.62 , pp. 205-228
    • Mandel, J.1    Brezina, M.2    Vanek, P.3
  • 20
    • 2342589376 scopus 로고
    • Form und Tragverhalten
    • E. Ramm E. Schnuck (Eds.) Karl Krämer Verlag Stuttgart
    • E. Ramm Form und Tragverhalten in: E. Ramm E. Schnuck (Eds.) Heinz Isler Schalen 1986 Karl Krämer Verlag Stuttgart 29-34
    • (1986) Heinz Isler Schalen , pp. 29-34
    • Ramm, E.1
  • 21
    • 16244412716 scopus 로고    scopus 로고
    • A multilevel approch to the solution of large-scale nonlinear shell problems
    • L.P. Franca (Ed.) CIMNE Press Barcelona
    • E. Ramm M. Gee W.A. Wall A multilevel approch to the solution of large-scale nonlinear shell problems in: L.P. Franca (Ed.) Finite Element Methods: 1970's and beyond 2003 CIMNE Press Barcelona
    • (2003) Finite Element Methods: 1970's and Beyond
    • Ramm, E.1    Gee, M.2    Wall, W.A.3
  • 22
    • 0025457448 scopus 로고
    • On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching
    • J.C. Simo S. Rifai D.D. Fox On a stress resultant geometrically exact shell model. Part IV: Variable thickness shells with through-the-thickness stretching Comput. Methods Appl. Mech. Engrg. 81 1990 91-126
    • (1990) Comput. Methods Appl. Mech. Engrg. , vol.81 , pp. 91-126
    • Simo, J.C.1    Rifai, S.2    Fox, D.D.3
  • 23
    • 0025449315 scopus 로고
    • A class of mixed assumed strain methods and the method of incompatible modes
    • J.C. Simo S. Rifai A class of mixed assumed strain methods and the method of incompatible modes Int. J. Numer. Methods Engrg. 29 1990 1595-1638
    • (1990) Int. J. Numer. Methods Engrg. , vol.29 , pp. 1595-1638
    • Simo, J.C.1    Rifai, S.2
  • 26
    • 85117206603 scopus 로고    scopus 로고
    • Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines
    • J. Donnelley (Ed.)
    • R.S. Tuminaro, C. Tong, Parallel smoothed aggregation multigrid: aggregation strategies on massively parallel machines, in: J. Donnelley (Ed.), Proceedings of SuperComputing 2000, 2000
    • (2000) Proceedings of SuperComputing 2000
    • Tuminaro, R.S.1    Tong, C.2
  • 27
    • 0003515955 scopus 로고
    • Algebraic Multigrid on unstructured meshes
    • UCD/CCM Report 34, Center for Computational Mathematics, University of Colorado at Denver
    • P. Vanek, J. Mandel, M. Brezina, Algebraic Multigrid on unstructured meshes, UCD/CCM Report 34, Center for Computational Mathematics, University of Colorado at Denver, 1994
    • (1994)
    • Vanek, P.1    Mandel, J.2    Brezina, M.3
  • 28
    • 0030388574 scopus 로고    scopus 로고
    • Algebraic multigrid based on smoothed aggregation for second and fourth order elliptic problems
    • P. Vanek J. Mandel M. Brezina Algebraic multigrid based on smoothed aggregation for second and fourth order elliptic problems Computing 56 1996 179-196
    • (1996) Computing , vol.56 , pp. 179-196
    • Vanek, P.1    Mandel, J.2    Brezina, M.3
  • 29
    • 0041034172 scopus 로고    scopus 로고
    • Convergence analysis of algebraic multigrid based on smoothed aggregation
    • P. Vanek J. Mandel M. Brezina Convergence analysis of algebraic multigrid based on smoothed aggregation Numer. Math. 88 2001 559-579
    • (2001) Numer. Math. , vol.88 , pp. 559-579
    • Vanek, P.1    Mandel, J.2    Brezina, M.3
  • 30
    • 77958010931 scopus 로고    scopus 로고
    • The challenge of a three-dimensional shell formulation - The conditioning problem
    • Proc. IASSIACM 2000 - Fourth International Colloquium on Computation for Shells & Spatial Structures IASS-IACM, Chania-Crete, Greece
    • W.A. Wall, M. Gee, E. Ramm, The challenge of a three-dimensional shell formulation - the conditioning problem, Proc. IASSIACM 2000 - Fourth International Colloquium on Computation for Shells & Spatial Structures, IASS-IACM, Chania-Crete, Greece, 2000.
    • (2000)
    • Wall, W.A.1    Gee, M.2    Ramm, E.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.