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A Bayesian analysis of the thermal challenge problem

Publication ,  Journal Article
Liu, F; Bayarri, MJ; Berger, JO; Paulo, R; Sacks, J
Published in: Computer Methods in Applied Mechanics and Engineering
May 1, 2008

A major question for the application of computer models is Does the computer model adequately represent reality? Viewing the computer models as a potentially biased representation of reality, Bayarri et al. [M. Bayarri, J. Berger, R. Paulo, J. Sacks, J. Cafeo, J. Cavendish, C. Lin, J. Tu, A framework for validation of computer models, Technometrics 49 (2) (2007) 138-154] develop the simulator assessment and validation engine (SAVE) method as a general framework for answering this question. In this paper, we apply the SAVE method to the challenge problem which involves a thermal computer model designed for certain devices. We develop a statement of confidence that the devices modeled can be applied in intended situations. © 2007 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

May 1, 2008

Volume

197

Issue

29-32

Start / End Page

2457 / 2466

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences
 

Citation

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Liu, F., Bayarri, M. J., Berger, J. O., Paulo, R., & Sacks, J. (2008). A Bayesian analysis of the thermal challenge problem. Computer Methods in Applied Mechanics and Engineering, 197(29–32), 2457–2466. https://doi.org/10.1016/j.cma.2007.05.032
Liu, F., M. J. Bayarri, J. O. Berger, R. Paulo, and J. Sacks. “A Bayesian analysis of the thermal challenge problem.” Computer Methods in Applied Mechanics and Engineering 197, no. 29–32 (May 1, 2008): 2457–66. https://doi.org/10.1016/j.cma.2007.05.032.
Liu F, Bayarri MJ, Berger JO, Paulo R, Sacks J. A Bayesian analysis of the thermal challenge problem. Computer Methods in Applied Mechanics and Engineering. 2008 May 1;197(29–32):2457–66.
Liu, F., et al. “A Bayesian analysis of the thermal challenge problem.” Computer Methods in Applied Mechanics and Engineering, vol. 197, no. 29–32, May 2008, pp. 2457–66. Scopus, doi:10.1016/j.cma.2007.05.032.
Liu F, Bayarri MJ, Berger JO, Paulo R, Sacks J. A Bayesian analysis of the thermal challenge problem. Computer Methods in Applied Mechanics and Engineering. 2008 May 1;197(29–32):2457–2466.
Journal cover image

Published In

Computer Methods in Applied Mechanics and Engineering

DOI

ISSN

0045-7825

Publication Date

May 1, 2008

Volume

197

Issue

29-32

Start / End Page

2457 / 2466

Related Subject Headings

  • Applied Mathematics
  • 49 Mathematical sciences
  • 40 Engineering
  • 09 Engineering
  • 01 Mathematical Sciences