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Surrogate Modeling of Computer Experiments With Different Mesh Densities

This article considers deterministic computer experiments with real-valued tuning parameters which determine the accuracy of the numerical algorithm. A prominent example is finite-element analysis with its mesh density as the tuning parameter. The aim of this work is to integrate computer outputs wi...

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Bibliographic Details
Published in:Technometrics 2014-08, Vol.56 (3), p.372-380
Main Authors: Tuo, Rui, Wu, C. F. Jeff, Yu, Dan
Format: Article
Language:English
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Summary:This article considers deterministic computer experiments with real-valued tuning parameters which determine the accuracy of the numerical algorithm. A prominent example is finite-element analysis with its mesh density as the tuning parameter. The aim of this work is to integrate computer outputs with different tuning parameters. Novel nonstationary Gaussian process models are proposed to establish a framework consistent with the results in numerical analysis. Numerical studies show the advantages of the proposed method over existing methods. The methodology is illustrated with a problem in casting simulation. Supplementary material for this article is available online.
ISSN:0040-1706
1537-2723
DOI:10.1080/00401706.2013.842935