An Overview of First-Order Model Management for Engineering Optimization

By N. Alexandrov, Robert Michael Lewis. 2001

206 citations recorded by the source corpus.

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Metamodeling in Multidisciplinary Design Optimization: How Far Have We Really Come? (2014, background): “code as high- and low-fidelity simulation tools, respectively [121], resulted in the run time ratio of 55∶1(excluding sensitivity analysis”
Review of surrogate modeling in water resources (2012, methodology): “…function are the additive approach [Gano et al., 2006; Leary et al., 2003; Viana et al., 2009] in equation (10) and the multiplicative approach [Alexandrov and Lewis, 2001; Madsen and Langthjem, 2001; Thokala and Martins, 2007] in equation (11): gaðxÞ ¼ fhðxÞ flðxÞ; (10) gmðxÞ ¼…”
Recursive Trust-Region Methods for Multiscale Nonlinear Optimization (2008, methodology): “Further motivation is also provided by the computational success of the low/high-fidelity model management techniques of Alexandrov and Lewis [2, 3] and a recent paper by Borzi and Kunisch [9] on multigrid globalization.”