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Volumn 22, Issue 3, 2007, Pages 413-431

Affine conjugate adaptive Newton methods for nonlinear elastomechanics

Author keywords

Affine conjugate Newton methods; Cranio maxillofacial surgery; Nonconvex minimization; Nonlinear elastomechanics

Indexed keywords

ALGORITHMS; ELASTICITY; OPTIMIZATION; SURGERY;

EID: 33947606578     PISSN: 10556788     EISSN: 10294937     Source Type: Journal    
DOI: 10.1080/10556780600605129     Document Type: Article
Times cited : (64)

References (19)
  • 1
    • 33947593619 scopus 로고    scopus 로고
    • Ciarlet, P.G., 1988, Mathematical elasticity. 1: three-dimensional elasticity. Studies in Mathematics and its Applications, 20 (North-Holland).
    • Ciarlet, P.G., 1988, Mathematical elasticity. Volume 1: three-dimensional elasticity. Studies in Mathematics and its Applications, Vol. 20 (North-Holland).
  • 2
    • 33750161640 scopus 로고    scopus 로고
    • Newton methods for nonlinear problems. Affine invariance and adaptive algorithms
    • Springer
    • Deuflhard, P., 2004, Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Computational Mathematics, Vol. 35 (Springer).
    • (2004) Computational Mathematics , vol.35
    • Deuflhard, P.1
  • 6
    • 0005175075 scopus 로고    scopus 로고
    • Local inexact Newton multilevel FEM for nonlinear elliptic problems
    • M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.-L. Lions, J. Periaux and M. Wheeler (Eds, Wiley) pp
    • Deuflhard, P. and Weiser, M., 1997, Local inexact Newton multilevel FEM for nonlinear elliptic problems. In: M.-O. Bristeau, G. Etgen, W. Fitzgibbon, J.-L. Lions, J. Periaux and M. Wheeler (Eds) Computational Science for the 21st Century (Wiley) pp. 129-138.
    • (1997) Computational Science for the 21st Century , pp. 129-138
    • Deuflhard, P.1    Weiser, M.2
  • 8
    • 33947601644 scopus 로고    scopus 로고
    • Griewank, A., 1981, The modification of Newton's method for unconstrained optimization by bounding cubic terms. Technical Report DAMTP 1981 NA/12, University of Cambridge.
    • Griewank, A., 1981, The modification of Newton's method for unconstrained optimization by bounding cubic terms. Technical Report DAMTP 1981 NA/12, University of Cambridge.
  • 9
    • 0003200255 scopus 로고
    • Augmented Lagrangian and operator-splitting methods in nonlinear mechanics
    • SIAM
    • Glowinski, R. and Le Tallec, P., 1989, Augmented Lagrangian and operator-splitting methods in nonlinear mechanics. Studies in Applied Mathematics, Vol. 9 (SIAM).
    • (1989) Studies in Applied Mathematics , vol.9
    • Glowinski, R.1    Le Tallec, P.2
  • 10
    • 0000225931 scopus 로고
    • Numerical methods for nonlinear three-dimensional elasticity
    • P.O. Ciarlet and J.L. Lions Eds, North-Holland: Elsevier, pp
    • Le Tallec, P., 1994, Numerical methods for nonlinear three-dimensional elasticity. In : P.O. Ciarlet and J.L. Lions (Eds) Handbook of Numerical Analysis, Volume III (North-Holland: Elsevier), pp. 465-622.
    • (1994) Handbook of Numerical Analysis , vol.3 , pp. 465-622
    • Le Tallec, P.1
  • 11
    • 0002633896 scopus 로고
    • Towards an efficient sparsity exploiting Newton method for minimization
    • I.S. Duff Ed, Academic Press, pp
    • Toint, P.L., 1981, Towards an efficient sparsity exploiting Newton method for minimization. In: I.S. Duff (Ed.) Sparse Matrices and Their Use (Academic Press), pp. 57-88.
    • (1981) Sparse Matrices and Their Use , pp. 57-88
    • Toint, P.L.1
  • 12
    • 0000305846 scopus 로고
    • The conjugate gradient method and trust regions in large scale optimization
    • Steihaug, T., 1983, The conjugate gradient method and trust regions in large scale optimization. SIAM Journal of Numerical Analysis, 20(3), 626-637.
    • (1983) SIAM Journal of Numerical Analysis , vol.20 , Issue.3 , pp. 626-637
    • Steihaug, T.1
  • 13
  • 15
    • 0001737632 scopus 로고
    • Large deformation isotropic elasticity: On the correlation of theory and experiment for incompressible rubber-like solids
    • Ogden, R.W., 1972, Large deformation isotropic elasticity: on the correlation of theory and experiment for incompressible rubber-like solids. Proceedings of the Royal Society of London, A328, 567-583.
    • (1972) Proceedings of the Royal Society of London , vol.A328 , pp. 567-583
    • Ogden, R.W.1
  • 16
    • 84958183092 scopus 로고    scopus 로고
    • Improved 3D osteotomy planning in cranio-maxillofacial surgery
    • Proceedings of Medical Image Computing and Computer-Assisted Intervention MICCAI 2001, Utrecht: Springer, pp
    • Zachow, S., Gladilin, E., Zeilhofer, H.-F. and Sader, R., 2001, Improved 3D osteotomy planning in cranio-maxillofacial surgery. Proceedings of Medical Image Computing and Computer-Assisted Intervention (MICCAI 2001), Lecture Notes in Computer Science (Utrecht: Springer), pp. 473-481.
    • (2001) Lecture Notes in Computer Science , pp. 473-481
    • Zachow, S.1    Gladilin, E.2    Zeilhofer, H.-F.3    Sader, R.4


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.