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Volumn 4, Issue 5-6, 2006, Pages 647-662

Error control for molecular statics problems

Author keywords

Error estimation; Goal oriented adaptive modeling; Molecular statics; Multiscale problems; Quasicontinuum method

Indexed keywords

COMPUTER SIMULATION; CONTINUUM MECHANICS; ERROR ANALYSIS; NUMERICAL METHODS;

EID: 34247195458     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v4.i5-6.60     Document Type: Article
Times cited : (69)

References (20)
  • 1
    • 0038579633 scopus 로고    scopus 로고
    • Atomistic/continuum coupling in computational materials science
    • Curtin, W. A., and Miller, R. E., Atomistic/continuum coupling in computational materials science. Model. Simul. Mater. Sci. Eng., 11:R33-R68, 2003.
    • (2003) Model. Simul. Mater. Sci. Eng , vol.11
    • Curtin, W.A.1    Miller, R.E.2
  • 4
    • 17244374413 scopus 로고    scopus 로고
    • Concurrent coupling of length scales: Methodology and application
    • Broughton, J. Q., Abraham, F. F., Bernstein, N., and Kaxiras, E., Concurrent coupling of length scales: Methodology and application. Phys. Rev. B, 60(4):2391-2403, 1999.
    • (1999) Phys. Rev. B , vol.60 , Issue.4 , pp. 2391-2403
    • Broughton, J.Q.1    Abraham, F.F.2    Bernstein, N.3    Kaxiras, E.4
  • 5
    • 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., 182:496-515, 2002.
    • (2002) J. Comput. Phys , vol.182 , pp. 496-515
    • Oden, J.T.1    Prudhomme, S.2
  • 6
    • 34247194844 scopus 로고    scopus 로고
    • Oden, J. T., Prudhomme, S., Romkes, A., and Bauman, P. T., Multi-scale modeling of physical phenomena: Adaptive control of models, to appear in SIAM J. Sci. Comput. ICES Report 05-20, The University of Texas at Austin, 2005.
    • Oden, J. T., Prudhomme, S., Romkes, A., and Bauman, P. T., Multi-scale modeling of physical phenomena: Adaptive control of models, to appear in SIAM J. Sci. Comput. ICES Report 05-20, The University of Texas at Austin, 2005.
  • 7
    • 0003071531 scopus 로고    scopus 로고
    • Estimation of local modeling error and goal-oriented modeling of heterogeneous materials 1. Error estimates and adaptive algorithms
    • Oden, J. T., and Vemaganti, K., Estimation of local modeling error and goal-oriented modeling of heterogeneous materials 1. Error estimates and adaptive algorithms. J. Comput. Phys., 164:22-47, 2000.
    • (2000) J. Comput. Phys , vol.164 , pp. 22-47
    • Oden, J.T.1    Vemaganti, K.2
  • 8
    • 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. Eng., 193:539-559, 2004.
    • (2004) Comput. Methods Appl. Mech. Eng , vol.193 , pp. 539-559
    • Romkes, A.1    Oden, J.T.2
  • 9
    • 20344393593 scopus 로고    scopus 로고
    • On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models
    • Oden, J. T., Prudhomme, S., and Bauman, P., On the extension of goal-oriented error estimation and hierarchical modeling to discrete lattice models. Comput. Methods Appl. Mech. Eng., 194:3668-3688, 2005.
    • (2005) Comput. Methods Appl. Mech. Eng , vol.194 , pp. 3668-3688
    • Oden, J.T.1    Prudhomme, S.2    Bauman, P.3
  • 10
    • 4244079381 scopus 로고
    • Embedded-atom method: Derivation and applications to impurities, surfaces, and other defects in metals
    • Daw, M. S., and Baskes, M. I., Embedded-atom method: Derivation and applications to impurities, surfaces, and other defects in metals. Phys. Rev. B, 29(12):6443-6453, 1984.
    • (1984) Phys. Rev. B , vol.29 , Issue.12 , pp. 6443-6453
    • Daw, M.S.1    Baskes, M.I.2
  • 11
    • 84940492598 scopus 로고
    • Interatomic potentials from 1st-principles calculations: The force-matching method
    • Ercolessi, F., and Adams, J., Interatomic potentials from 1st-principles calculations: The force-matching method. Europhys. Lett., 26:583-588, 1993.
    • (1993) Europhys. Lett , vol.26 , pp. 583-588
    • Ercolessi, F.1    Adams, J.2
  • 12
    • 0030158774 scopus 로고    scopus 로고
    • Quasicontinuum analysis of defects in solids
    • Tadmor, E. B., Ortiz, M., and Phillips, R., Quasicontinuum analysis of defects in solids. Phil. Mag. A, 73(6):1529-1563, 1996.
    • (1996) Phil. Mag. A , vol.73 , Issue.6 , pp. 1529-1563
    • Tadmor, E.B.1    Ortiz, M.2    Phillips, R.3
  • 14
    • 34247255268 scopus 로고    scopus 로고
    • Miller, R. E., and Tadmor, E. B., QC Tutorial Guide Version 1.1, May 2004. (available at www.qcmethod.com.)
    • Miller, R. E., and Tadmor, E. B., QC Tutorial Guide Version 1.1, May 2004. (available at www.qcmethod.com.)
  • 15
    • 0033100627 scopus 로고    scopus 로고
    • An adaptive finite element approach to atomic-scale mechanics: The quasicontinuum method
    • Shenoy, V. B., Miller, R., Tadmor, E. B., Rodney, D., Phillips, R., and Ortiz, M., An adaptive finite element approach to atomic-scale mechanics: The quasicontinuum method. J. Mech. Phys. Solids, 47:611-642, 1999.
    • (1999) J. Mech. Phys. Solids , vol.47 , pp. 611-642
    • Shenoy, V.B.1    Miller, R.2    Tadmor, E.B.3    Rodney, D.4    Phillips, R.5    Ortiz, M.6
  • 16
    • 0242367374 scopus 로고    scopus 로고
    • The quasicontinuum method: Overview, applications, and current directions
    • Miller, R. E., and Tadmor, E. B., The quasicontinuum method: Overview, applications, and current directions. J. Comput.-Aided Des., 9:203-239, 2002.
    • (2002) J. Comput.-Aided Des , vol.9 , pp. 203-239
    • Miller, R.E.1    Tadmor, E.B.2
  • 17
    • 0023288565 scopus 로고
    • A simple error estimator and adaptive procedure for practical engineering analysis
    • Zienkiewicz, O. C., and Zhu, J. Z., A simple error estimator and adaptive procedure for practical engineering analysis. Int. J. Numer. Methods Eng., 24:337-357, 1987.
    • (1987) Int. J. Numer. Methods Eng , vol.24 , pp. 337-357
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 19
    • 5844383856 scopus 로고
    • Embedded-atom-method functions for fee metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys
    • Foiles, S. M., Baskes, M. I., and Daw, M. S., Embedded-atom-method functions for fee metals Cu, Ag, Au, Ni, Pd, Pt, and their alloys. Phys. Rev. B, 33(12):7983-7991, 1986.
    • (1986) Phys. Rev. B , vol.33 , Issue.12 , pp. 7983-7991
    • Foiles, S.M.1    Baskes, M.I.2    Daw, M.S.3
  • 20
    • 0042964912 scopus 로고    scopus 로고
    • Validity and failure of the Cauchy-Born hypothesis in a twodimensional mass-spring lattice
    • Friesecke, G., and Theil, F., Validity and failure of the Cauchy-Born hypothesis in a twodimensional mass-spring lattice. J. Nonlinear Sci., 12:445478, 2002.
    • (2002) J. Nonlinear Sci , vol.12 , pp. 445478
    • Friesecke, G.1    Theil, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.