Hideyuki Azegami

(Author)

Shape Optimization Problems (2020)Hardcover - 2020, 1 October 2020

Shape Optimization Problems (2020)
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Part of Series
Springer Optimization and Its Applications
Print Length
646 pages
Language
English
Publisher
Springer
Date Published
1 Oct 2020
ISBN-10
9811576173
ISBN-13
9789811576171

Description

This book provides theories on non-parametric shape optimization problems, systematically keeping in mind readers with an engineering background. Non-parametric shape optimization problems are defined as problems of finding the shapes of domains in which boundary value problems of partial differential equations are defined. In these problems, optimum shapes are obtained from an arbitrary form without any geometrical parameters previously assigned. In particular, problems in which the optimum shape is sought by making a hole in domain are called topology optimization problems. Moreover, a problem in which the optimum shape is obtained based on domain variation is referred to as a shape optimization problem of domain variation type, or a shape optimization problem in a limited sense. Software has been developed to solve these problems, and it is being used to seek practical optimum shapes. However, there are no books explaining such theories beginning with their foundations.
The structure of the book is shown in the Preface. The theorems are built up using mathematical results. Therefore, a mathematical style is introduced, consisting of definitions and theorems to summarize the key points. This method of expression is advanced as provable facts are clearly shown. If something to be investigated is contained in the framework of mathematics, setting up a theory using theorems prepared by great mathematicians is thought to be an extremely effective approach. However, mathematics attempts to heighten the level of abstraction in order to understand many things in a unified fashion. This characteristic may baffle readers with an engineering background. Hence in this book, an attempt has been made to provide explanations in engineering terms, with examples from mechanics, after accurately denoting the provable facts using definitions and theorems.

Product Details

Author:
Hideyuki Azegami
Book Edition:
2020
Book Format:
Hardcover
Country of Origin:
NL
Date Published:
1 October 2020
Dimensions:
23.39 x 15.6 x 3.66 cm
ISBN-10:
9811576173
ISBN-13:
9789811576171
Language:
English
Location:
Singapore
Pages:
646
Publisher:
Weight:
1111.3 gm

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