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＜電子ブック＞
Optimal Design through the Sub-Relaxation Method : Understanding the Basic Principles / by Pablo Pedregal
(SEMA SIMAI Springer Series. ISSN:2199305X ; 11)

版	1st ed. 2016.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2016
大きさ	XI, 130 p. 22 illus : online resource
著者標目	*Pedregal, Pablo author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Mathematical analysis LCSH:Mathematical optimization LCSH:Mechanics, Applied FREE:Applications of Mathematics FREE:Analysis FREE:Optimization FREE:Engineering Mechanics
一般注記	1 Motivation and framework -- 2 Our approach -- 3 Relaxation through moments -- 4 Optimality -- 5 Simulation -- 6 Some extensions -- 7 Some technical proofs 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 HTTP:URL=https://doi.org/10.1007/978-3-319-41159-0

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