Overview
- Provides a detailed description of the various steps of the method, including analysis, optimality, and numerical simulation (for non-experts)
- Offers an excellent point of departure for further research
- Concise content and to-the-point discussions
Part of the book series: SEMA SIMAI Springer Series (SEMA SIMAI, volume 11)
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Table of contents (7 chapters)
Keywords
About this book
This book provides a comprehensive guide to analyzing and solving optimal design problems in continuous media by means of the so-called sub-relaxation method. Though the underlying ideas are borrowed from other, more classical approaches, here they are used and organized in a novel way, yielding a distinct perspective on how to approach this kind of optimization problems. Starting with a discussion of the background motivation, the book broadly explains the sub-relaxation method in general terms, helping readers to grasp, from the very beginning, the driving idea and where the text is heading. In addition to the analytical content of the method, it examines practical issues like optimality and numerical approximation. Though the primary focus is on the development of the method for the conductivity context, the book’s final two chapters explore several extensions of the method to other problems, as well as formal proofs. The text can be used for a graduate course in optimal design, even if the method would require some familiarity with the main analytical issues associated with this type of problems. This can be addressed with the help of the provided bibliography.
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Bibliographic Information
Book Title: Optimal Design through the Sub-Relaxation Method
Book Subtitle: Understanding the Basic Principles
Authors: Pablo Pedregal
Series Title: SEMA SIMAI Springer Series
DOI: https://doi.org/10.1007/978-3-319-41159-0
Publisher: Springer Cham
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer International Publishing Switzerland 2016
Hardcover ISBN: 978-3-319-41158-3Published: 09 September 2016
Softcover ISBN: 978-3-319-82283-9Published: 15 June 2018
eBook ISBN: 978-3-319-41159-0Published: 01 September 2016
Series ISSN: 2199-3041
Series E-ISSN: 2199-305X
Edition Number: 1
Number of Pages: XI, 130
Number of Illustrations: 22 b/w illustrations
Topics: Applications of Mathematics, Analysis, Optimization, Theoretical and Applied Mechanics