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Volumn 195, Issue 37-40, 2006, Pages 4659-4680

Extensions of goal-oriented error estimation methods to simulations of highly-nonlinear response of shock-loaded elastomer-reinforced structures

Author keywords

A posteriori error estimation; Dual problem; Goal oriented error estimation; Nonlinear continuum mechanics; Shock loading

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; ELASTOMERS; ELASTOPLASTICITY; ERROR ANALYSIS; ESTIMATION; LAGRANGE MULTIPLIERS; STRAIN RATE;

EID: 33744913843     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2005.10.027     Document Type: Article
Times cited : (15)

References (24)
  • 2
    • 33744932658 scopus 로고    scopus 로고
    • J.H. Argyris, Continua and discontinua, in: Proceedings of the Conference on Matrix Methods in Structural Mechanics, vol. AFFDL-TR-66-80, Ohio, Wright-Patterson AFB, October 1965.
  • 3
    • 84985315731 scopus 로고
    • A posteriori error estimates for the finite element method
    • Babuška I., and Rheinboldt W.C. A posteriori error estimates for the finite element method. Int. J. Numer. Methods Engrg. 12 (1978) 1597-1615
    • (1978) Int. J. Numer. Methods Engrg. , vol.12 , pp. 1597-1615
    • Babuška, I.1    Rheinboldt, W.C.2
  • 5
    • 84966215690 scopus 로고
    • Some a posteriori error estimates for elliptic partial differential equations
    • Bank R.E., and Weiser A. Some a posteriori error estimates for elliptic partial differential equations. Math. Comput. 44 (1985) 283-301
    • (1985) Math. Comput. , vol.44 , pp. 283-301
    • Bank, R.E.1    Weiser, A.2
  • 6
    • 85022001969 scopus 로고    scopus 로고
    • An optimal control approach to a posteriori error estimation in finite element methods
    • Becker R., and Rannacher R. An optimal control approach to a posteriori error estimation in finite element methods. Acta Numer. 10 (2001) 1-102
    • (2001) Acta Numer. , vol.10 , pp. 1-102
    • Becker, R.1    Rannacher, R.2
  • 8
    • 0021381875 scopus 로고
    • Computable pointwise error bounds and the Ritz method in one dimension
    • Gartland E.C. Computable pointwise error bounds and the Ritz method in one dimension. SIAM J. Numer. Anal. 21 (1984) 84-100
    • (1984) SIAM J. Numer. Anal. , vol.21 , pp. 84-100
    • Gartland, E.C.1
  • 9
    • 0037059262 scopus 로고    scopus 로고
    • Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations
    • Hartmann R., and Houston P. Adaptive discontinuous Galerkin finite element methods for the compressible Euler equations. J. Comput. Phys. 183 2 (2002) 508-532
    • (2002) J. Comput. Phys. , vol.183 , Issue.2 , pp. 508-532
    • Hartmann, R.1    Houston, P.2
  • 10
    • 3042778337 scopus 로고    scopus 로고
    • Adaptive strategies and error control for computing material forces in fracture mechanics
    • Heintz P., Larsson F., Hansbo P., and Runesson K. Adaptive strategies and error control for computing material forces in fracture mechanics. Int. J. Numer. Methods Engrg. 60 7 (2004) 1287-1299
    • (2004) Int. J. Numer. Methods Engrg. , vol.60 , Issue.7 , pp. 1287-1299
    • Heintz, P.1    Larsson, F.2    Hansbo, P.3    Runesson, K.4
  • 11
    • 33744906491 scopus 로고    scopus 로고
    • P. Ladevèze, Comparaison de modèles de milieux continus, Ph.D. thesis, Université P. et M. Curie, Paris, 1975.
  • 12
    • 8644237289 scopus 로고    scopus 로고
    • Modeling and discretization errors in hyperelasto-(visco-)plasticity with a view to hierarchical modeling
    • Larsson F., and Runesson K. Modeling and discretization errors in hyperelasto-(visco-)plasticity with a view to hierarchical modeling. Comput. Methods Appl. Mech. Engrg. 193 48-51 (2004) 5283-5300
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , Issue.48-51 , pp. 5283-5300
    • Larsson, F.1    Runesson, K.2
  • 13
    • 0037992690 scopus 로고    scopus 로고
    • Time finite elements and error computation for (visco)plasticity with hardening or softening
    • Larsson F., Runesson K., and Hansbo P. Time finite elements and error computation for (visco)plasticity with hardening or softening. Int. J. Numer. Methods Engrg. 56 14 (2003) 2213-2232
    • (2003) Int. J. Numer. Methods Engrg. , vol.56 , Issue.14 , pp. 2213-2232
    • Larsson, F.1    Runesson, K.2    Hansbo, P.3
  • 14
    • 33744912741 scopus 로고    scopus 로고
    • J. McGee, J. Isaacs, S. Nemat-Nasser, Quick look: constitutive model for polyurea at large compressive strains and high strain rates, Technical Report, University of California San Diego, 2004.
  • 16
    • 0002071619 scopus 로고
    • Advances in adaptive improvements: a survey of adaptive finite element methods in computational mechanics
    • Babuška I., Zienkiewicz O.C., Gago J., and Oliveira E.A. (Eds), John Wiley & Sons, NY
    • Oden J.T., and Demkowicz L.F. Advances in adaptive improvements: a survey of adaptive finite element methods in computational mechanics. In: Babuška I., Zienkiewicz O.C., Gago J., and Oliveira E.A. (Eds). Accuracy Estimates and Adaptive Refinements in Finite Element Computations (1986), John Wiley & Sons, NY
    • (1986) Accuracy Estimates and Adaptive Refinements in Finite Element Computations
    • Oden, J.T.1    Demkowicz, L.F.2
  • 17
    • 0034817636 scopus 로고    scopus 로고
    • Goal-oriented error estimation and adaptivity for the finite element method
    • Oden J.T., and Prudhomme S. Goal-oriented error estimation and adaptivity for the finite element method. Comput. Math. Appl. 41 (2001) 735-756
    • (2001) Comput. Math. Appl. , vol.41 , pp. 735-756
    • Oden, J.T.1    Prudhomme, S.2
  • 18
    • 0036865855 scopus 로고    scopus 로고
    • Estimation of modeling error in computational mechanics
    • Oden J.T., and Prudhomme S. Estimation of modeling error in computational mechanics. J. Comput. Phys. 182 (2002) 496-515
    • (2002) J. Comput. Phys. , vol.182 , pp. 496-515
    • Oden, J.T.1    Prudhomme, S.2
  • 19
    • 33744916972 scopus 로고    scopus 로고
    • J.T. Oden, S. Prudhomme, A. Romkes, P. Bauman, Multi-scale modeling of physical phenomena: adaptive control of models, ICES Report 05-20, The University of Texas at Austin, 2005.
  • 20
    • 0003071531 scopus 로고    scopus 로고
    • Estimation of local modeling error and goal-oriented modeling of heterogeneous materials: Part I
    • Oden J.T., and Vemaganti K. Estimation of local modeling error and goal-oriented modeling of heterogeneous materials: Part I. J. Comput. Phys. 167 (2000) 22-47
    • (2000) J. Comput. Phys. , vol.167 , pp. 22-47
    • Oden, J.T.1    Vemaganti, K.2
  • 21
    • 33744907246 scopus 로고    scopus 로고
    • D. Pardo, L. Demkowicz, C. Torres-Verdin, M. Paszynski, A self-adaptive goal oriented hp-finite element method with electromagnetic applications. Part II: electrodynamics, SIAM J. Appl. Math., submitted for publication.
  • 22
    • 0442297715 scopus 로고    scopus 로고
    • Adaptive modeling of wave propagation in heterogeneous elastic solids
    • Romkes A., and Oden J.T. Adaptive modeling of wave propagation in heterogeneous elastic solids. Comput. Methods Appl. Mech. Engrg. 193 (2004) 1603-1632
    • (2004) Comput. Methods Appl. Mech. Engrg. , vol.193 , pp. 1603-1632
    • Romkes, A.1    Oden, J.T.2
  • 23
    • 0035860221 scopus 로고    scopus 로고
    • Estimation of local modeling error and goal-oriented modeling of heterogeneous materials; Part II: a computational environment for adaptive modeling of heterogeneous elastic solids
    • Vemaganti K., and Oden J.T. Estimation of local modeling error and goal-oriented modeling of heterogeneous materials; Part II: a computational environment for adaptive modeling of heterogeneous elastic solids. Comput. Methods Appl. Mech. Engrg. 190 (2001) 6089-6124
    • (2001) Comput. Methods Appl. Mech. Engrg. , vol.190 , pp. 6089-6124
    • Vemaganti, K.1    Oden, J.T.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.