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Volumn , Issue , 2003, Pages

Applications of algebraic multigrid to large-scale finite element analysis of whole bone micro-mechanics on the IBM SP

Author keywords

finite element method; human vertebral body; massively parallel computing; multigrid; trabecular bone

Indexed keywords

ALGEBRAIC MULTIGRID METHODS; ALGEBRAIC MULTIGRIDS; MASSIVELY PARALLEL COMPUTERS; MASSIVELY PARALLEL COMPUTING; MICRO-FINITE ELEMENT ANALYSIS; MULTI-GRID; TRABECULAR BONES; VERTEBRAL BODY;

EID: 84877074357     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1145/1048935.1050177     Document Type: Conference Paper
Times cited : (15)

References (42)
  • 2
    • 0037145312 scopus 로고    scopus 로고
    • Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics
    • -, Evaluation of three unstructured multigrid methods on 3D finite element problems in solid mechanics, International Journal for Numerical Methods in Engineering, 55 (2002), pp. 519-534.
    • (2002) International Journal for Numerical Methods in Engineering , vol.55 , pp. 519-534
    • Adams, M.F.1
  • 9
    • 0010038766 scopus 로고
    • On the combination of the multigrid method and conjugate gradients
    • W. Hackbusch and U. Trottenberg, eds., Berlin, Springer-Verlag
    • D. BRAESS, On the combination of the multigrid method and conjugate gradients, in Multigrid Methods II, W. Hackbusch and U. Trottenberg, eds., Berlin, 1986, Springer-Verlag, pp. 52-64.
    • (1986) Multigrid Methods II , pp. 52-64
    • Braess, D.1
  • 10
    • 84966233568 scopus 로고
    • Multi-level adaptive solutions to boundary value problems
    • A. BRANDT, Multi-level adaptive solutions to boundary value problems, Math. Comput., 31 (1977), pp. 333-390.
    • (1977) Math. Comput. , vol.31 , pp. 333-390
    • Brandt, A.1
  • 12
    • 0029391976 scopus 로고
    • High-performance multilevel iterative aggregation solver for large finite-element structural analysis problems
    • V. E. BULGAKOV AND G. KUHN, High-performance multilevel iterative aggregation solver for large finite-element structural analysis problems, International Journal for Numerical Methods in Engineering, 38 (1995), pp. 3529-3544.
    • (1995) International Journal for Numerical Methods in Engineering , vol.38 , pp. 3529-3544
    • Bulgakov, V.E.1    Kuhn, G.2
  • 14
    • 0026239487 scopus 로고
    • A method of finite element tearing and interconnecting and its parallel solution algorithm
    • C. FARHAT AND F.-X. ROUX, A method of finite element tearing and interconnecting and its parallel solution algorithm, International Journal for Numerical Methods in Engineering, 32 (1991), pp. 1205-1227.
    • (1991) International Journal for Numerical Methods in Engineering , vol.32 , pp. 1205-1227
    • Farhat, C.1    Roux, F.-X.2
  • 15
    • 84877086763 scopus 로고    scopus 로고
    • FEAP. www.ce.berkeley.edu/~rlt.
    • FEAP
  • 17
    • 0028297654 scopus 로고
    • Failure mechanisms in human vertebral cancellous bone
    • D. P. FYHRIE AND M. B. SCHAFFLER, Failure mechanisms in human vertebral cancellous bone, Bone, 15 (1994), pp. 105-9.
    • (1994) Bone , vol.15 , pp. 105-109
    • Fyhrie, D.P.1    Schaffler, M.B.2
  • 19
    • 0003360974 scopus 로고
    • Multigrid methods and applications
    • Springer-Verlag, Berlin
    • W. HACKBUSCH, Multigrid methods and applications, vol. 4 of Computational Mathematics, Springer-Verlag, Berlin, 1985.
    • (1985) Computational Mathematics , vol.4
    • Hackbusch, W.1
  • 20
    • 0023314898 scopus 로고
    • Large-scale vectorized implicit calculation in solid mechanics on a cray x-mp/48 utilizing ebe preconditioned conjugate gradients
    • T. J. R. HUGHES, R. M. FERENCZ, AND J. O. HALLQUIST, Large-scale vectorized implicit calculation in solid mechanics on a cray x-mp/48 utilizing ebe preconditioned conjugate gradients, Computer Methods in Applied Mechanics and Engineering, 61 (1987), pp. 215-248.
    • (1987) Computer Methods in Applied Mechanics and Engineering , vol.61 , pp. 215-248
    • Hughes, T.J.R.1    Ferencz, R.M.2    Hallquist, J.O.3
  • 22
    • 0011074819 scopus 로고    scopus 로고
    • CRC Press, Boca Raton, 2 ed., ch. 16
    • T. M. KEAVENY, Bone Mechanics Handbook, CRC Press, Boca Raton, 2 ed., 2001, ch. 16, pp. 1-42.
    • (2001) Bone Mechanics Handbook , pp. 1-42
    • Keaveny, T.M.1
  • 26
    • 0033811123 scopus 로고    scopus 로고
    • High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone
    • G. L. NIEBUR, M. J. FELDSTEIN, J. C. YUEN, T. J. CHEN, AND T. M. KEAVENY, High-resolution finite element models with tissue strength asymmetry accurately predict failure of trabecular bone, Journal of Biomechanics, 33 (2000), pp. 1575-1583.
    • (2000) Journal of Biomechanics , vol.33 , pp. 1575-1583
    • Niebur, G.L.1    Feldstein, M.J.2    Yuen, J.C.3    Chen, T.J.4    Keaveny, T.M.5
  • 27
    • 0033294444 scopus 로고    scopus 로고
    • Convergence behavior of high-resolution finite element models of trabecular bone
    • G. L. NIEBUR, J. C. YUEN, A. C. HSIA, AND T. M. KEAVENY, Convergence behavior of high-resolution finite element models of trabecular bone, Journal of Biomechanical Engineering, 121 (1999), pp. 629-635.
    • (1999) Journal of Biomechanical Engineering , vol.121 , pp. 629-635
    • Niebur, G.L.1    Yuen, J.C.2    Hsia, A.C.3    Keaveny, T.M.4
  • 28
    • 0032117317 scopus 로고    scopus 로고
    • A general framework for the numerical solution of problems in finite elasto-plasticity
    • P. PAPADOPOULOS AND J. LU, A general framework for the numerical solution of problems in finite elasto-plasticity, Computer Methods in Applied Mechanics and Engineering, 159 (1998), pp. 1-18.
    • (1998) Computer Methods in Applied Mechanics and Engineering , vol.159 , pp. 1-18
    • Papadopoulos, P.1    Lu, J.2
  • 29
    • 2942528972 scopus 로고    scopus 로고
    • Advancing analysis capabilities in ansys through solver technology
    • G. POOLE, L. Y.C., AND M. J., Advancing analysis capabilities in ansys through solver technology, Electronic Transactions in Numerical Analysis, 15 (2003), pp. 106-121.
    • (2003) Electronic Transactions in Numerical Analysis , vol.15 , pp. 106-121
    • Poole, G.1    C, L.Y.2    J, M.3
  • 30
    • 84877053246 scopus 로고    scopus 로고
    • Prometheus. www.cs.berkeley.edu/~madams.
    • Prometheus
  • 31
    • 0030071062 scopus 로고    scopus 로고
    • A microtomographic system for the nondestructive evaluation of bone architecture
    • P. RÜEGSEGGER, B. KOLLER, AND R. MÜLLER, A microtomographic system for the nondestructive evaluation of bone architecture, Calcified Tissue International, 58 (1996), pp. 24-29.
    • (1996) Calcified Tissue International , vol.58 , pp. 24-29
    • Rüegsegger, P.1    Koller, B.2    Müller, R.3
  • 35
    • 2942526684 scopus 로고    scopus 로고
    • Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines
    • J. Donnelley, ed.
    • R. TUMINARO AND C. TONG, Parallel smoothed aggregation multigrid: Aggregation strategies on massively parallel machines, in SuperComputing 2000 Proceedings, J. Donnelley, ed., 2000.
    • (2000) SuperComputing 2000 Proceedings
    • Tuminaro, R.1    Tong, C.2
  • 36
    • 0032995520 scopus 로고    scopus 로고
    • The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone
    • D. ULRICH, B. VAN RIETBERGEN, A. LAIB, AND P. RÜEGSEGGER, The ability of three-dimensional structural indices to reflect mechanical aspects of trabecular bone., Bone, 25 (1999), pp. 55-60.
    • (1999) Bone , vol.25 , pp. 55-60
    • Ulrich, D.1    Van Rietbergen, B.2    Laib, A.3    Rüegsegger, P.4
  • 37
    • 0032412757 scopus 로고    scopus 로고
    • Finite element analysis of trabecular bone structure: A comparison of image-based meshing techniques
    • D. ULRICH, B. VAN RIETBERGEN, H. WEINANS, AND P. RUEGSEGGER, Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques, Journal of Biomechanics, 31 (1998), pp. 1187-1192.
    • (1998) Journal of Biomechanics , vol.31 , pp. 1187-1192
    • Ulrich, D.1    Van Rietbergen, B.2    Weinans, H.3    Ruegsegger, P.4
  • 39
    • 0028936206 scopus 로고
    • A new method to determine trabecular bone elastic properties and loading using micromechanical finite element models
    • B. VAN RIETBERGEN, H. WEINANS, R. HUISKES, AND A. ODGAARD, A new method to determine trabecular bone elastic properties and loading using micromechanical finite element models, Journal of Biomechanics, 28 (1995), pp. 69-81.
    • (1995) Journal of Biomechanics , vol.28 , pp. 69-81
    • Van Rietbergen, B.1    Weinans, H.2    Huiskes, R.3    Odgaard, A.4
  • 41
    • 0041034172 scopus 로고    scopus 로고
    • Convergence of algebraic multigrid based on smoothed aggregation
    • P. VANĚK, J. MANDEL, AND M. BREZINA, Convergence of algebraic multigrid based on smoothed aggregation, Numerische Mathematik, 88 (2001), pp. 559-579.
    • (2001) Numerische Mathematik , vol.88 , pp. 559-579
    • Vaněk, P.1    Mandel, J.2    Brezina, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.