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Volumn 92-93, Issue , 2012, Pages 206-215

Bayesian assimilation of multi-fidelity finite element models

Author keywords

Domain decomposition methods; Finite element method; Gaussian process emulator; Metamodel; Multi fidelity

Indexed keywords

BAYESIAN APPROACHES; ELLIPTIC BOUNDARY VALUE PROBLEM; FINITE ELEMENT MODELS; GAUSSIAN PROCESSES; HIGH FIDELITY MODELS; LOW-FIDELITY MODELS; META MODEL; MULTI-FIDELITY;

EID: 84655167849     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.compstruc.2011.11.002     Document Type: Article
Times cited : (19)

References (44)
  • 2
    • 0141998677 scopus 로고    scopus 로고
    • A new parallel overlapped domain decomposition method for nonlinear dynamic finite element analysis
    • A.R.M. Rao, T.V.S.R.A. Rao, and B. Dattaguru A new parallel overlapped domain decomposition method for nonlinear dynamic finite element analysis Comput Struct 81 26-27 2003 2441 2454
    • (2003) Comput Struct , vol.81 , Issue.2627 , pp. 2441-2454
    • Rao, A.R.M.1    Rao, T.V.S.R.A.2    Dattaguru, B.3
  • 3
    • 77953324847 scopus 로고    scopus 로고
    • A posteriori error analysis of a domain decomposition algorithm for unilateral contact problem
    • L. Gallimard, and T. Sassi A posteriori error analysis of a domain decomposition algorithm for unilateral contact problem Comput Struct 88 13-14 2010 879 888
    • (2010) Comput Struct , vol.88 , Issue.1314 , pp. 879-888
    • Gallimard, L.1    Sassi, T.2
  • 4
    • 33947205065 scopus 로고    scopus 로고
    • Parallel adaptive time domain decomposition for stiff systems of ODEs/DAEs
    • DOI 10.1016/j.compstruc.2006.08.040, PII S0045794906002628, High Performance Computing for Computational Mechanics
    • D. Guibert, and D. Tromeur-Dervout Parallel adaptive time domain decomposition for stiff systems of ODEs/DAEs Comput Struct. 85 9 2007 553 562 (Pubitemid 46428371)
    • (2007) Computers and Structures , vol.85 , Issue.9 , pp. 553-562
    • Guibert, D.1    Tromeur-Dervout, D.2
  • 5
    • 33947279899 scopus 로고    scopus 로고
    • A FETI-like domain decomposition method for coupling finite elements and boundary elements in large-size problems of acoustic scattering
    • DOI 10.1016/j.compstruc.2006.08.029, PII S0045794906002604, High Performance Computing for Computational Mechanics
    • A. Bendali, Y. Boubendir, and M. Fares A FETI-like domain decomposition method for coupling finite elements and boundary elements in large-size problems of acoustic scattering Comput Struct 85 9 2007 526 535 (Pubitemid 46428370)
    • (2007) Computers and Structures , vol.85 , Issue.9 , pp. 526-535
    • Bendali, A.1    Boubendir, Y.2    Fares, M.3
  • 6
    • 60949087479 scopus 로고    scopus 로고
    • Domain decomposition of stochastic PDEs: Theoretical formulations
    • A. Sarkar, N. Benabbou, and R. Ghanem Domain decomposition of stochastic PDEs: Theoretical formulations Int J Numer Methods Eng 77 5 2009 689 701
    • (2009) Int J Numer Methods Eng , vol.77 , Issue.5 , pp. 689-701
    • Sarkar, A.1    Benabbou, N.2    Ghanem, R.3
  • 7
    • 0013079987 scopus 로고    scopus 로고
    • Parallel computation of flow in heterogeneous media modelled by mixed finite elements
    • K.A. Cliffe, I.G. Graham, R. Scheichl, and L. Stals Parallel computation of flow in heterogeneous media modelled by mixed finite elements J Comput Phys 164 2 2000 258 282
    • (2000) J Comput Phys , vol.164 , Issue.2 , pp. 258-282
    • Cliffe, K.A.1    Graham, I.G.2    Scheichl, R.3    Stals, L.4
  • 9
    • 84655172185 scopus 로고    scopus 로고
    • Domain decomposition in science and engineering
    • National Autonomous University of Mexico (UNAM), Mexico City, Mexico, Chapter Domain decomposition by stochastic methods
    • Peirano E, Talay D. Domain decomposition in science and engineering. In: Fourteenth International Conference on Domain Decomposition Methods, National Autonomous University of Mexico (UNAM), Mexico City, Mexico, Chapter Domain decomposition by stochastic methods, 2003. pp. 131-147.
    • (2003) Fourteenth International Conference on Domain Decomposition Methods , pp. 131-147
    • Peirano, E.1    Talay, D.2
  • 10
    • 33746202559 scopus 로고    scopus 로고
    • Cambridge University Press Cambridge, UK Chapter Achieving robust design from computer simulations, pp. 55-63
    • P. Challenor, R. Hankin, and R. Marsh Avoiding dangerous climate change 2006 Cambridge University Press Cambridge, UK Chapter Achieving robust design from computer simulations, pp. 55-63
    • (2006) Avoiding Dangerous Climate Change
    • Challenor, P.1    Hankin, R.2    Marsh, R.3
  • 11
    • 33847615314 scopus 로고    scopus 로고
    • Probabilistic inference for future climate using an ensemble of climate model evaluations
    • DOI 10.1007/s10584-006-9156-9
    • J. Rougier Probabilistic inference for future climate using an ensemble of climate model evaluations Climatic Change 81 3 2007 247 264 (Pubitemid 46363540)
    • (2007) Climatic Change , vol.81 , Issue.3-4 , pp. 247-264
    • Rougier, J.1
  • 12
    • 33745727535 scopus 로고    scopus 로고
    • Case studies in Gaussian process modelling of computer codes
    • M.C. Kennedy, C.W. Anderson, S. Conti, and A. O'Hagan Case studies in Gaussian process modelling of computer codes Reliab Eng Syst Safety 91 10-11 2006 1301 1309
    • (2006) Reliab Eng Syst Safety , vol.91 , Issue.1011 , pp. 1301-1309
    • Kennedy, M.C.1    Anderson, C.W.2    Conti, S.3    O'Hagan, A.4
  • 13
    • 0344521704 scopus 로고    scopus 로고
    • Oxford University Press Oxford, UK Chapter On inference for outputs of computationally expensive algorithms with uncertainty on the inputs
    • R. Haylock, and A. O'Hagan Bayesian statistics vol. 5 1996 Oxford University Press Oxford, UK Chapter On inference for outputs of computationally expensive algorithms with uncertainty on the inputs
    • (1996) Bayesian Statistics , vol.5
    • Haylock, R.1    O'Hagan, A.2
  • 15
    • 41149131310 scopus 로고    scopus 로고
    • Mining data from hemodynamic simulations via Bayesian emulation
    • V. Kolachalama, N. Bressloff, and P. Nair Mining data from hemodynamic simulations via Bayesian emulation BioMed Eng 6 47 2007
    • (2007) BioMed Eng , vol.6 , Issue.47
    • Kolachalama, V.1    Bressloff, N.2    Nair, P.3
  • 16
    • 77954765089 scopus 로고    scopus 로고
    • Structural dynamic analysis using Gaussian process emulators
    • F.A. DiazDelaO, and S. Adhikari Structural dynamic analysis using Gaussian process emulators Eng Comput 27 5 2010 580 605
    • (2010) Eng Comput , vol.27 , Issue.5 , pp. 580-605
    • Diazdelao, F.A.1    Adhikari, S.2
  • 17
    • 79960081135 scopus 로고    scopus 로고
    • Gaussian process emulators for the stochastic finite element method
    • F.A. DiazDelaO, and S. Adhikari Gaussian process emulators for the stochastic finite element method Int J Numer Methods Eng 87 6 2011 521 540
    • (2011) Int J Numer Methods Eng , vol.87 , Issue.6 , pp. 521-540
    • Diazdelao, F.A.1    Adhikari, S.2
  • 18
    • 63749116574 scopus 로고    scopus 로고
    • Hierarchical adaptive experimental design for Gaussian process emulators
    • [special issue on Sensitivity Analysis]
    • Busby D, Hierarchical adaptive experimental design for Gaussian process emulators. Reliab Eng Syst Safety 2009;94(7):1183-1193 [special issue on Sensitivity Analysis].
    • (2009) Reliab Eng Syst Safety , vol.94 , Issue.7 , pp. 1183-1193
    • Busby, D.1
  • 19
    • 57749204350 scopus 로고    scopus 로고
    • Calculations of Sobol indices for the Gaussian process metamodel
    • A. Marrel, B. Iooss, B. Laurent, and O. Roustant Calculations of Sobol indices for the Gaussian process metamodel Reliab Eng Syst Safety 94 3 2009 742 751
    • (2009) Reliab Eng Syst Safety , vol.94 , Issue.3 , pp. 742-751
    • Marrel, A.1    Iooss, B.2    Laurent, B.3    Roustant, O.4
  • 20
    • 33748297944 scopus 로고    scopus 로고
    • Achieving robust design from computer simulations
    • R. Bates, R. Kennet, D. Steinberg, and H. Wynn Achieving robust design from computer simulations Q Tech Quant Manag 3 2 2006 161 177
    • (2006) Q Tech Quant Manag , vol.3 , Issue.2 , pp. 161-177
    • Bates, R.1    Kennet, R.2    Steinberg, D.3    Wynn, H.4
  • 21
    • 43049127727 scopus 로고    scopus 로고
    • Multivariate significance testing and model calibration under uncertainty
    • J. McFarland, and S. Mahadevan Multivariate significance testing and model calibration under uncertainty Comput Methods Appl Mech Eng 197 29-32 2008 2467 2479
    • (2008) Comput Methods Appl Mech Eng , vol.197 , Issue.2932 , pp. 2467-2479
    • McFarland, J.1    Mahadevan, S.2
  • 22
    • 84880184712 scopus 로고    scopus 로고
    • IOS Press The Netherlands Chapter Sensitivity analysis of a reliability system using Gaussian processes, pp. 46-62
    • A. Daneshkhah, and T. Bedford Advances in mathematical modeling for reliability 2008 IOS Press The Netherlands Chapter Sensitivity analysis of a reliability system using Gaussian processes, pp. 46-62
    • (2008) Advances in Mathematical Modeling for Reliability
    • Daneshkhah, A.1    Bedford, T.2
  • 23
    • 0003474648 scopus 로고
    • Prentice Hall Inc. Englewood Cliffs, New Jersey, USA
    • K.J. Bathe Finite element procedures 1995 Prentice Hall Inc. Englewood Cliffs, New Jersey, USA
    • (1995) Finite Element Procedures
    • Bathe, K.J.1
  • 26
    • 33745699573 scopus 로고    scopus 로고
    • Bayesian analysis of computer code outputs: A tutorial
    • A. O'Hagan Bayesian analysis of computer code outputs: a tutorial Reliab Eng Syst Safety 91 10-11 2006 1290 1300
    • (2006) Reliab Eng Syst Safety , vol.91 , Issue.1011 , pp. 1290-1300
    • O'Hagan, A.1
  • 28
    • 0039484815 scopus 로고    scopus 로고
    • Eliciting Gaussian process priors for complex computer codes
    • J. Oakley Eliciting Gaussian process priors for complex computer codes The Statist 51 1 2002 81 97
    • (2002) The Statist , vol.51 , Issue.1 , pp. 81-97
    • Oakley, J.1
  • 30
    • 84972517827 scopus 로고
    • Design and analysis of computer experiments
    • J. Sacks, W. Welch, T. Mitchell, and H. Wynn Design and analysis of computer experiments Statist Sci 4 4 1989 409 435
    • (1989) Statist Sci , vol.4 , Issue.4 , pp. 409-435
    • Sacks, J.1    Welch, W.2    Mitchell, T.3    Wynn, H.4
  • 31
    • 0001136395 scopus 로고
    • Oxford University Press Cambridge, UK Chapter Some Bayesian numerical analysis
    • A. O'Hagan Bayesian statistics vol. 4 1992 Oxford University Press Cambridge, UK Chapter Some Bayesian numerical analysis, pp. 345-363
    • (1992) Bayesian Statistics , vol.4 , pp. 345-363
    • O'Hagan, A.1
  • 36
    • 36048983730 scopus 로고    scopus 로고
    • Convergence analysis of optimization-based domain decomposition methods for a bonded structure
    • DOI 10.1016/j.apnum.2006.10.005, PII S0168927406002066
    • J. Koko Convergence analysis of optimization-based domain decomposition methods for a bonded structure Appl Numer Math 58 1 2008 69 87 (Pubitemid 350087279)
    • (2008) Applied Numerical Mathematics , vol.58 , Issue.1 , pp. 69-87
    • Koko, J.1
  • 37
    • 0036904689 scopus 로고    scopus 로고
    • Numerical simulation of debonding of adhesively bonded joint
    • DOI 10.1016/S0020-7683(02)00480-8, PII S0020768302004808
    • F. Krasucki, A. Mnch, and Y. Ousset Numerical simulation of debonding of adhesively bonded joint Int J Solids Struct 39 26 2002 6355 6383 (Pubitemid 35451005)
    • (2002) International Journal of Solids and Structures , vol.39 , Issue.26 , pp. 6355-6383
    • Krasucki, F.1    Munch, A.2    Ousset, Y.3
  • 38
    • 65249119336 scopus 로고    scopus 로고
    • A Lions non-overlapping domain decomposition method for domains with an arbitrary interface
    • S.H. Lui A Lions non-overlapping domain decomposition method for domains with an arbitrary interface IMA J Numer Anal 29 2 2009 332 349
    • (2009) IMA J Numer Anal , vol.29 , Issue.2 , pp. 332-349
    • Lui, S.H.1
  • 39
    • 0002243674 scopus 로고    scopus 로고
    • Preprocessing for 2D FE-BE domain decomposition methods
    • G. Haase, and M. Kuhn Preprocessing for 2D FE-BE domain decomposition methods Comput Visual Sci 2 1999 25 35
    • (1999) Comput Visual Sci , vol.2 , pp. 25-35
    • Haase, G.1    Kuhn, M.2
  • 40
    • 0000429099 scopus 로고
    • An iterative procedure with interface relaxation for domain decomposition methods
    • D. Funaro, A. Quarteroni, and P. Zanolli An iterative procedure with interface relaxation for domain decomposition methods SIAM J Numer Anal 25 6 1988 1213 1236
    • (1988) SIAM J Numer Anal , vol.25 , Issue.6 , pp. 1213-1236
    • Funaro, D.1    Quarteroni, A.2    Zanolli, P.3
  • 41
    • 71249161869 scopus 로고    scopus 로고
    • Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations
    • H. Liao, H. Shi, and Z. Sun Corrected explicit-implicit domain decomposition algorithms for two-dimensional semilinear parabolic equations Sci China Ser A Math 52 11 2009 2362 2388
    • (2009) Sci China ser A Math , vol.52 , Issue.11 , pp. 2362-2388
    • Liao, H.1    Shi, H.2    Sun, Z.3


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