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论文类型：期刊论文

发表时间：2001-02-10

发表刊物：INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING

收录刊物：EI、SCIE、Scopus

卷号：50

期号：4

页面范围：869-884

ISSN号：0029-5981

关键字：multi-point approximations; optimization; design

摘要：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.