Two-point constraint approximation in structural optimization
type: Item
instance of: scholarly article
title: Two-point constraint approximation in structural optimization
zbMATH Open document ID: 0591.73108
DOI: 10.1016/0045-7825(87)90136-8
author: B. George
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1987-01-01T00:00:00Z
full work available at URL: TR-86-21.pdf
review text: The use of constraint approximations is recognized as a primary means of achieving computational efficiency in structural optimization. Existing approximation methods are based upon the value of the constraint function and its derivatives at a single point. The present paper explores the use of approximations based upon the value of the constraint and its derivative at two points. Several candidate approximations are suggested and tested for randomly generated rational constraint functions. Several of the approximations prove to be superior to the single-point approximations.
Mathematics Subject Classification ID: 74P99
Mathematics Subject Classification ID: 65K10
zbMATH DE Number: 3949900
zbMATH Keywords: constraint approximations
zbMATH Keywords: derivative at two points
zbMATH Keywords: tested for randomly generated rational constraint functions
zbMATH Keywords: reciprocal approximation
zbMATH Keywords: quasi- Newton approximation
zbMATH Keywords: projection method
zbMATH Keywords: exponential approximation
MaRDI profile type: Publication
OpenAlex ID: W2053591007
cites work: Q3795367
cites work: Second order approximation of natural frequency constraints in structural synthesis
cites work: An approximation-concepts approach to shape optimal design
description: scientific article; zbMATH DE number 3949900