Indexed by:期刊论文

Date of Publication:2001-02-10

Journal:INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

Included Journals:Scopus、SCIE、EI

Volume:50

Issue:4

Page Number:869-884

ISSN No.:0029-5981

Key Words:multi-point approximations; optimization; design

Abstract:In this paper,a newly developed three-point approximation scheme is proposed. The expression of this scheme consists of a linear combination of the direct and reciprocal linear Taylor expansions as well as of the lumped diagonal terms of the second-order direct and inverse terms. The unknown parameters of the expression are computed on the basis of the function and gradient values at three points in the design space. Based on this approach, the accuracy of the existing constraint approximation methods can be improved. The effectiveness of the proposed approach is demonstrated on a number of numerical examples. The numerical results are also compared with those of the previously published work. Copyright (C) 2001 John Wiley & Sons, Ltd.