Space mapping: The state of the art

被引：774

作者：

Bandler, JW ^{[1
]}

Cheng, QSS

Dakroury, SA

Mohamed, AS

Bakr, MH

Madsen, K

Sondergaard, J

机构：

[1] McMaster Univ, Dept Elect & Comp Engn, Simulat Optimaizat Syst Res Lab, Hamilton, ON L8S 4K1, Canada

[2] Bandler Corp, Dundas, ON L9H 5E7, Canada

[3] Tech Univ Denmark, DK-2800 Lyngby, Denmark

来源：

IEEE TRANSACTIONS ON MICROWAVE THEORY AND TECHNIQUES | 2004年 / 52卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

computer-aided design (CAD); design automation; electromagnetic (EM) simulation; EM optimization; filter design; microwave filters; optimization algorithms; optimization methods; parameter extraction (PE); space mapping (SM); surrogate models;

D O I：

10.1109/TMTT.2003.820904

中图分类号：

TM [电工技术]; TN [电子技术、通信技术];

学科分类号：

0808 ; 0809 ;

摘要：

We review the space-mapping (SM) technique and the SM-based surrogate (modeling) concept and their applications in engineering design optimization. For the first time, we present a mathematical motivation and place SM into the context of classical optimization. The aim of SM is to achieve a satisfactory solution with a minimal number of computationally expensive "fine" model evaluations. SM procedures iteratively update and optimize surrogates based on a fast physically based "coarse" model. Proposed approaches to SM-based optimization include the original algorithm, the Broyden-based aggressive SM algorithm, various trust-region approaches, neural SM, and implicit SM. Parameter extraction is an essential SM subproblem. It is used to align the surrogate (enhanced coarse model) with the fine model. Different approaches to enhance uniqueness are suggested, including the recent gradient parameter-extraction approach. Novel physical illustrations are presented, including the cheese-cutting and wedge-cutting problems. Significant practical applications are reviewed.

引用

页码：337 / 361

页数：25

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