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Volumn 198, Issue 21-26, 2009, Pages 1775-1784

Model verification in dynamics through strict upper error bounds

Author keywords

Dynamics; Error; Output of interest; Upper bound; Verification

Indexed keywords

CLASSICAL THERMODYNAMICS; ERROR BOUNDS; INTERNAL STATE VARIABLES; LINEAR DYNAMICS; MODEL VERIFICATIONS; MODELING ERRORS; OUTPUT OF INTEREST; UPPER BOUND;

EID: 63249120603     PISSN: 00457825     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cma.2008.12.020     Document Type: Article
Times cited : (23)

References (24)
  • 5
    • 0009522795 scopus 로고
    • Introduction to adaptive methods for partial differential equations
    • Isereles A. (Ed), Cambridge University Press, Cambridge
    • Eriksson K., Estep D., Hansbo P., and Johnson C. Introduction to adaptive methods for partial differential equations. In: Isereles A. (Ed). Acta Numerica (1995), Cambridge University Press, Cambridge 105-159
    • (1995) Acta Numerica , pp. 105-159
    • Eriksson, K.1    Estep, D.2    Hansbo, P.3    Johnson, C.4
  • 6
    • 0030383153 scopus 로고    scopus 로고
    • A feed-back approach to error control in finite element methods: basic analysis and examples
    • Becker R., and Rannacher R. A feed-back approach to error control in finite element methods: basic analysis and examples. East-West J. Numer. Math. 4 (1996) 237-264
    • (1996) East-West J. Numer. Math. , vol.4 , pp. 237-264
    • Becker, R.1    Rannacher, R.2
  • 7
    • 77957066965 scopus 로고    scopus 로고
    • A posteriori error control and mesh adaptation for finite element models in elasticity and elasto-plasticity
    • Ladevèze, and Oden (Eds), Elsevier
    • Rannacher R., and Suttmeier F.T. A posteriori error control and mesh adaptation for finite element models in elasticity and elasto-plasticity. In: Ladevèze, and Oden (Eds). Advances in Adaptative Computational Method in Mechanics (1998), Elsevier 275-292
    • (1998) Advances in Adaptative Computational Method in Mechanics , pp. 275-292
    • Rannacher, R.1    Suttmeier, F.T.2
  • 9
    • 0033640049 scopus 로고    scopus 로고
    • A posteriori estimation and adaptive control of the error in the quantity of interest - Part 1. A posteriori estimation of the error in the Von Mises stress and the stress intensity factors
    • Strouboulis T., Babuška I., Datta D., Copps K., and Gangaraj S.K. A posteriori estimation and adaptive control of the error in the quantity of interest - Part 1. A posteriori estimation of the error in the Von Mises stress and the stress intensity factors. Comput. Methods Appl. Mech. Engrg. 181 (2000) 261-294
    • (2000) Comput. Methods Appl. Mech. Engrg. , vol.181 , pp. 261-294
    • Strouboulis, T.1    Babuška, I.2    Datta, D.3    Copps, K.4    Gangaraj, S.K.5
  • 10
    • 0000697809 scopus 로고    scopus 로고
    • A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem
    • Cirak F., and Ramm E. A posteriori error estimation and adaptivity for linear elasticity using the reciprocal theorem. Comput. Methods Appl. Mech. Engrg. 156 (1998) 351-362
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.156 , pp. 351-362
    • Cirak, F.1    Ramm, E.2
  • 11
    • 0032669875 scopus 로고    scopus 로고
    • On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors
    • Prudhomme S., and Oden J.T. On goal-oriented error estimation for elliptic problems: application to the control of pointwise errors. Comput. Methods Appl. Mech. Engrg. 176 (1999) 313-331
    • (1999) Comput. Methods Appl. Mech. Engrg. , vol.176 , pp. 313-331
    • Prudhomme, S.1    Oden, J.T.2
  • 12
    • 27744567137 scopus 로고    scopus 로고
    • The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations
    • Parès N., Bonet J., Huerta A., and Peraire J. The computation of bounds for linear-functional outputs of weak solutions to the two-dimensional elasticity equations. Comput. Methods Appl. Mech. Engrg. 195 4-6 (2006) 406-429
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , Issue.4-6 , pp. 406-429
    • Parès, N.1    Bonet, J.2    Huerta, A.3    Peraire, J.4
  • 13
    • 0002677869 scopus 로고    scopus 로고
    • Bounds for linear-functional outputs of coercive partial differential equations; local indicators and adaptive refinements
    • Ladevèze, and Oden (Eds), Elsevier
    • Peraire J., and Patera A.T. Bounds for linear-functional outputs of coercive partial differential equations; local indicators and adaptive refinements. In: Ladevèze, and Oden (Eds). Advances in Adaptive Computational Methods in Mechanics (2006), Elsevier 199-216
    • (2006) Advances in Adaptive Computational Methods in Mechanics , pp. 199-216
    • Peraire, J.1    Patera, A.T.2
  • 14
    • 36849058122 scopus 로고    scopus 로고
    • A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelastic problems
    • Chamoin L., and Ladevèze P. A non-intrusive method for the calculation of strict and efficient bounds of calculated outputs of interest in linear viscoelastic problems. Comput. Methods Appl. Mech. Engrg. 197 (2008) 994-1014
    • (2008) Comput. Methods Appl. Mech. Engrg. , vol.197 , pp. 994-1014
    • Chamoin, L.1    Ladevèze, P.2
  • 15
    • 33746360900 scopus 로고    scopus 로고
    • Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems
    • Ladevèze P. Upper error bounds on calculated outputs of interest for linear and nonlinear structural problems. C. R. Acad. Sci. - Méc. Paris 334 (2006) 399-407
    • (2006) C. R. Acad. Sci. - Méc. Paris , vol.334 , pp. 399-407
    • Ladevèze, P.1
  • 16
    • 42449155099 scopus 로고    scopus 로고
    • Strict upper error bounds on computed outputs of interest in computational structural mechanics
    • Ladevèze P. Strict upper error bounds on computed outputs of interest in computational structural mechanics. Comput. Mech. 42 2 (2008) 271-286
    • (2008) Comput. Mech. , vol.42 , Issue.2 , pp. 271-286
    • Ladevèze, P.1
  • 17
    • 27744579060 scopus 로고    scopus 로고
    • Subdomained-based flux-free a posteriori error estimators
    • Pares M., Diez P., and Huerta A. Subdomained-based flux-free a posteriori error estimators. Comput. Methods Appl. Mech. Engrg. 195 (2006) 297-323
    • (2006) Comput. Methods Appl. Mech. Engrg. , vol.195 , pp. 297-323
    • Pares, M.1    Diez, P.2    Huerta, A.3
  • 19
    • 0842283926 scopus 로고
    • The determination of upper and lower bounds for the solution of Dirichlet problem
    • Greenberg H.J. The determination of upper and lower bounds for the solution of Dirichlet problem. J. Math. Phys. 27 (1948) 161-182
    • (1948) J. Math. Phys. , vol.27 , pp. 161-182
    • Greenberg, H.J.1
  • 20
    • 85176151706 scopus 로고
    • Bounds for solutions of boundary value problems in elasticity
    • Washizu K. Bounds for solutions of boundary value problems in elasticity. J. Math. Phys. 32 (1953) 117-128
    • (1953) J. Math. Phys. , vol.32 , pp. 117-128
    • Washizu, K.1
  • 21
    • 34548675800 scopus 로고    scopus 로고
    • Bounds on history-dependent or independent local quantities in viscoelasticity problems solved by approximate methods
    • Chamoin L., and Ladevèze P. Bounds on history-dependent or independent local quantities in viscoelasticity problems solved by approximate methods. Int. J. Numer. Methods Engrg. 71 12 (2007) 1387-1411
    • (2007) Int. J. Numer. Methods Engrg. , vol.71 , Issue.12 , pp. 1387-1411
    • Chamoin, L.1    Ladevèze, P.2
  • 23
    • 0032046356 scopus 로고    scopus 로고
    • A new a posteriori error estimation for nonlinear time-dependent finite element analysis
    • Ladevèze P., and Moës N. A new a posteriori error estimation for nonlinear time-dependent finite element analysis. Comput. Methods Appl. Mech. Engrg. 157 (1998) 45-68
    • (1998) Comput. Methods Appl. Mech. Engrg. , vol.157 , pp. 45-68
    • Ladevèze, P.1    Moës, N.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.