Optimal design through the sub-relaxation method. Understanding the basic principles
type: Item
instance of: scholarly article
title: Optimal design through the sub-relaxation method. Understanding the basic principles
zbMATH Open document ID: 1355.74001
DOI: 10.1007/978-3-319-41159-0
author: Pablo Pedregal
published in: SEMA SIMAI Springer Series
publication date: 2016-08-10T00:00:00Z
review text: The book treats analytical methods for the solution of optimal design problems for continuous media. Special attention is given to a model problem arising in heat conduction in a body with different heat conduction properties. The problem is to find optimal distributions of different materials, having different heat conduction properties so that, when the body is used for thermal isolation, the dissipated energy is as small as possible. Of course, other engineering problems of the same type can be treated similarly. The relaxation and sub-relaxation methods are used for optimization. The nonlinear problems are also treated, and a direct computational method is introduced. The book is intended for graduate students in engineering, analysis and applied mathematics.
Mathematics Subject Classification ID: 74-01
Mathematics Subject Classification ID: 74P10
Mathematics Subject Classification ID: 74F05
Mathematics Subject Classification ID: 80M40
Mathematics Subject Classification ID: 80A20
zbMATH DE Number: 6610667
zbMATH Keywords: minimal dissipent energy
zbMATH Keywords: optimal material distribution
zbMATH Keywords: heat conduction
reviewed by: Teodor Atanacković
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1007/978-3-319-41159-0
OpenAlex ID: W2510275269
description: scientific article; zbMATH DE number 6610667