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Volumn 5, Issue 5, 2007, Pages 369-386

Adaptive model selection procedure for concurrent multiscale problems

Author keywords

Adaptive model selection; Concurrent multiscale; Continuum atomistic coupling; Model error indicators

Indexed keywords

COMPUTER SIMULATION; EMBEDDED SYSTEMS; MATHEMATICAL MODELS; NONLINEAR SYSTEMS; PROBLEM SOLVING;

EID: 38049151163     PISSN: 15431649     EISSN: None     Source Type: Journal    
DOI: 10.1615/IntJMultCompEng.v5.i5.20     Document Type: Article
Times cited : (23)

References (31)
  • 1
    • 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. Philos. Mag. A. 73(6):1529-1563, 1996.
    • (1996) Philos. Mag. A , vol.73 , Issue.6 , pp. 1529-1563
    • Tadmor, E.B.1    Ortiz, M.2    Phillips, R.3
  • 2
    • 0002162989 scopus 로고
    • The cauchy and born hypotheses for crystals
    • Gurtin, M. E. Ed, Mathematics Research Center, The University of Wisconsin-Madison, October
    • Ericksen, J. L., The cauchy and born hypotheses for crystals. In Phase Transformations and Material Instabilities in Solids. Gurtin, M. E. Ed., Mathematics Research Center, The University of Wisconsin-Madison, October 1983.
    • (1983) Phase Transformations and Material Instabilities in Solids
    • Ericksen, J.L.1
  • 3
    • 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 Mater. Des. 9(3):203-239, 2002.
    • (2002) J. Comput.-Aided Mater. Des , vol.9 , Issue.3 , pp. 203-239
    • Miller, R.E.1    Tadmor, E.B.2
  • 4
    • 0026866050 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique
    • Zienkiewicz, O. C., and Zhu, J. Z., The superconvergent patch recovery and a posteriori error estimates. Part 1: The recovery technique. Int. J. Numer. Methods Eng. 33:1331-1364, 1992.
    • (1992) Int. J. Numer. Methods Eng , vol.33 , pp. 1331-1364
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 5
    • 0026869285 scopus 로고
    • The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity
    • Zienkiewicz, O. C., and Zhu, J. Z., The superconvergent patch recovery and a posteriori error estimates. Part 2: Error estimates and adaptivity. Int. J. Numer. Methods Eng. 33:1365-1382, 1992.
    • (1992) Int. J. Numer. Methods Eng , vol.33 , pp. 1365-1382
    • Zienkiewicz, O.C.1    Zhu, J.Z.2
  • 6
    • 2442507886 scopus 로고    scopus 로고
    • A stress-gradient based criterion for dislocation nucleation in crystals
    • Miller, R. E., and Acharya, A., A stress-gradient based criterion for dislocation nucleation in crystals. J. Mech. Phys. Solids. 52:1507-1525, 2004.
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 1507-1525
    • Miller, R.E.1    Acharya, A.2
  • 7
    • 0346785304 scopus 로고    scopus 로고
    • Constitutive analysis of finite deformation field dislocation mechanics
    • Acharya, A., Constitutive analysis of finite deformation field dislocation mechanics. J. Mech. Phys. Solids. 52:301-316, 2004.
    • (2004) J. Mech. Phys. Solids , vol.52 , pp. 301-316
    • Acharya, A.1
  • 8
    • 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
  • 10
    • 34249336645 scopus 로고    scopus 로고
    • Multi-scale modeling of physical phenomena: Adaptive control of models
    • Technical Report No. 20, Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, May
    • Oden, J. T., Prudhomme, S., Romkes, A., and Bauman, P., Multi-scale modeling of physical phenomena: Adaptive control of models. Technical Report No. 20, Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, May, 2005.
    • (2005)
    • Oden, J.T.1    Prudhomme, S.2    Romkes, A.3    Bauman, P.4
  • 11
    • 8644237289 scopus 로고    scopus 로고
    • Modeling and discretization error in hyperelasto-(visco-) plasticity with a view to hierarchical modeling
    • Larsson, F., and Runesson, K., Modeling and discretization error in hyperelasto-(visco-) plasticity with a view to hierarchical modeling. Comput Methods Appl. Mech. Eng. 193:5283-5300, 2004.
    • (2004) Comput Methods Appl. Mech. Eng , vol.193 , pp. 5283-5300
    • Larsson, F.1    Runesson, K.2
  • 12
    • 27744596607 scopus 로고    scopus 로고
    • Adaptive computational meso-macro-scale modeling of elastic composites
    • Larsson, F., and Runesson, K., Adaptive computational meso-macro-scale modeling of elastic composites. Comput. Methods Appl. Mech. Eng. 195:324-338, 2006.
    • (2006) Comput. Methods Appl. Mech. Eng , vol.195 , pp. 324-338
    • Larsson, F.1    Runesson, K.2
  • 13
    • 0031357303 scopus 로고    scopus 로고
    • Coupled model-and solution-adaptivity in the finite-element method
    • Stein, E., and Ohnimus, S., Coupled model-and solution-adaptivity in the finite-element method. Comput. Methods Appl. Mech. Eng. 150:327-350, 1997.
    • (1997) Comput. Methods Appl. Mech. Eng , vol.150 , pp. 327-350
    • Stein, E.1    Ohnimus, S.2
  • 14
    • 0032624207 scopus 로고    scopus 로고
    • Anisotropic discretization and model-error estimation in solid mechanics by local neumann problems
    • Stein, E., and Ohnimus, S., Anisotropic discretization and model-error estimation in solid mechanics by local neumann problems. Comput. Methods Appl. Mech. Eng. 176:363-385, 1999.
    • (1999) Comput. Methods Appl. Mech. Eng , vol.176 , pp. 363-385
    • Stein, E.1    Ohnimus, S.2
  • 16
    • 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. 10:1-23, 2001.
    • (2001) Acta Numer , vol.10 , pp. 1-23
    • Becker, R.1    Rannacher, R.2
  • 17
    • 0003071531 scopus 로고    scopus 로고
    • Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials
    • Oden, J. T., and Vemaganti, K. S., Estimation of local modeling error and goal-oriented adaptive modeling of heterogeneous materials. J. Comput. Phys. 164:22-47, 2000.
    • (2000) J. Comput. Phys , vol.164 , pp. 22-47
    • Oden, J.T.1    Vemaganti, K.S.2
  • 18
    • 11144285789 scopus 로고    scopus 로고
    • A posteriori control of modeling errors and discretization errors
    • Braack, M., and Ern, A., A posteriori control of modeling errors and discretization errors. Multiscale Model. Simul. 1(2):221-232, 2003.
    • (2003) Multiscale Model. Simul , vol.1 , Issue.2 , pp. 221-232
    • Braack, M.1    Ern, A.2
  • 19
    • 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
  • 20
    • 0042858270 scopus 로고    scopus 로고
    • Coupling of atomistic and continuum simulations using a bridging scale decomposition
    • Wagner, G. J., and Liu, W. K., Coupling of atomistic and continuum simulations using a bridging scale decomposition. J. Comput. Phys. 190:249-274, 2003.
    • (2003) J. Comput. Phys , vol.190 , pp. 249-274
    • Wagner, G.J.1    Liu, W.K.2
  • 21
    • 4244079381 scopus 로고
    • Embedded-atom method: Derivation and application to impurities, surfaces, and other defects in metals
    • Daw., M. S., and Baskes, M. I., Embedded-atom method: Derivation and application 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
  • 22
    • 0347415772 scopus 로고    scopus 로고
    • Miller, R. E., Shilkrot, L. E., and Curtin, W. A., A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films. Acta Mater. 52:271-284, 2004.
    • Miller, R. E., Shilkrot, L. E., and Curtin, W. A., A coupled atomistics and discrete dislocation plasticity simulation of nanoindentation into single crystal thin films. Acta Mater. 52:271-284, 2004.
  • 26
    • 14844306369 scopus 로고    scopus 로고
    • Composite grid atomistic continuum method: An adaptive approach to bridge continuum with atomistic analysis
    • Datta, D. K., Picu, C. R., and Shephard, M. S., Composite grid atomistic continuum method: An adaptive approach to bridge continuum with atomistic analysis. Int. J. Multiscale Cornput. Eng. 2:401-420, 2004.
    • (2004) Int. J. Multiscale Cornput. Eng , vol.2 , pp. 401-420
    • Datta, D.K.1    Picu, C.R.2    Shephard, M.S.3
  • 28
    • 0000364551 scopus 로고    scopus 로고
    • A model of crystal plasticity based on the theory of continuously distributed dislocations
    • Acharya, A., A model of crystal plasticity based on the theory of continuously distributed dislocations. J. Mech. Phys. Solids. 49:761-784, 2001.
    • (2001) J. Mech. Phys. Solids , vol.49 , pp. 761-784
    • Acharya, A.1
  • 29
    • 84940492598 scopus 로고
    • Interatomic potentials from first-principles calculations: The force-matching method
    • Ercolessi, F., and Adams, J. B., Interatomic potentials from first-principles calculations: The force-matching method. Europhys. Lett. 26:583-588, 1994.
    • (1994) Europhys. Lett , vol.26 , pp. 583-588
    • Ercolessi, F.1    Adams, J.B.2
  • 30
    • 19644400758 scopus 로고    scopus 로고
    • Nanovoid cavitation by dislocation emission in aluminum
    • 165503
    • Marian, J., Knap, J., and Ortiz, M., Nanovoid cavitation by dislocation emission in aluminum. Phys. Rev. Lett. 93(165503):1-4, 2004.
    • (2004) Phys. Rev. Lett , vol.93 , pp. 1-4
    • Marian, J.1    Knap, J.2    Ortiz, M.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.