Optimal Design through the Sub-Relaxation Method : Understanding the Basic Principles. 1st ed. 2016

種類:

電子ブック

責任表示:

by Pablo Pedregal

出版情報:

Cham : Springer International Publishing : Imprint: Springer, 2016

著者名:

• Pedregal, Pablo.
• SpringerLink (Online service)

シリーズ名:

SEMA SIMAI Springer Series ; 11

ISBN:

9783319411590 [3319411594]    

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 re

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