Optimal design through the sub-relaxation method : understanding the basic principles
- 作者： Pedregal, Pablo, author.
- 其他作者：
- 其他題名：
- SEMA SIMAI Springer series ;
- 出版： Cham : Springer International Publishing :Imprint: Springer
- 叢書名： SEMA SIMAI Springer series,volume 11
- 主題： Optimal designs (Statistics) , Relaxation methods (Mathematics) , Mathematics. , Applications of Mathematics. , Analysis. , Optimization. , Theoretical and Applied Mechanics.
- ISBN： 9783319411590 (electronic bk.) 、 9783319411583 (paper)
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- 資料類型: 電子書
- 內容註: 1 Motivation and framework -- 2 Our approach -- 3 Relaxation through moments -- 4 Optimality -- 5 Simulation -- 6 Some extensions -- 7 Some technical proofs.
- 摘要註: 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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讀者標籤：
- 系統號： 005369385 | 機讀編目格式
館藏資訊
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.