Extended Multipoint Approximation Method

Liu, Cheng-yang, Liu, Dian-zi, Mao, Xiao-an and Zhou, Xue (2017) Extended Multipoint Approximation Method. In: DEStech Transactions on Engineering and Technology Research. DEStech Transactions on Engineering and Technology Research . DEStech Publications, Inc., pp. 219-225.

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Abstract

Stemming from polynomial metamodels, multipoint approximation method (MAM) and moving least square method (MLSM) focus on the development of metamodels for the objective and constraint functions in solving a mid-range optimization problem with a trust region. Although both of these methods could solve problems successfully, there is still some room for improvement on the computational effort and search capability. To address this problem, the extended multipoint approximation method is proposed to seek the optimal solution in this paper. The developed method assimilating the advantage of Taylor’s expansion used in MLSM demonstrates its superiority over other methods in terms of the computational efficiency and accuracy by some well-established benchmark problems

Item Type:	Book Section
Uncontrolled Keywords:	metamodel,multipoint approximation method,taylor’s expansion,moving least square method
Faculty \ School:	Faculty of Science > School of Mathematics (former - to 2024)
UEA Research Groups:	Faculty of Science > Research Groups > Sustainable Energy Faculty of Science > Research Groups > Materials, Manufacturing & Process Modelling
Depositing User:	LivePure Connector
Date Deposited:	21 Apr 2023 16:31
Last Modified:	07 Nov 2024 12:49
URI:	https://ueaeprints.uea.ac.uk/id/eprint/91861
DOI:	10.12783/dtetr/amsm2017/14847

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