Response surface modelling of magnetic device performance using function value and gradient

Issue title: The 4th International Workshop on Optimization and Inverse Problems in Electromagnetism

Guest editors: Gottvald Aleš

Article type: Research Article

Authors: Dyck, Derek N.^{a; *} | Lowther, David A.^a

Affiliations: [a] Infolytica Corporation, Montreal, Canada

Correspondence: [*] Corresponding author. Fax. +1 514 849 4239; E-mail: derek@infolytica.qc.ca.

Abstract: This paper introduces a Response Surface Model (RSM) which is constructed using both the function value and its derivative (or gradient) at the sample points. The model is a version of Interpolating Moving Least Squares (IMLS) which is essentially quadratic interpolation in a multi-dimensional table of scattered sample points. The method is especially cost-effective for response surfaces in many dimensions (on the order of 10 variables). The method is tested on a speaker assembly design problem with seven design variables, and compared to a Multiquadric RSM.

DOI: 10.3233/JAEM-1998-100

Journal: International Journal of Applied Electromagnetics and Mechanics, vol. 9, no. 3, pp. 241-248, 1998