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Shape Variation and Optimization = A...

Henrot, Antoine,

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Shape Variation and Optimization = A Geometrical Analysis /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Shape Variation and Optimization/ Antoine Henrot, Michel Pierre
其他題名:	A Geometrical Analysis /
作者:	Henrot, Antoine,
其他作者:	Pierre, Michel,
出版者:	Zuerich, Switzerland :European Mathematical Society Publishing House, : 2018,
面頁冊數:	1 online resource (379 pages)
標題:	Calculus & mathematical analysis -
電子資源:	https://doi.org/10.4171/178
電子資源:	https://www.ems-ph.org/img/books/henrot_mini.jpg
ISBN:	9783037196786

Shape Variation and Optimization = A Geometrical Analysis /
Henrot, Antoine,

Shape Variation and OptimizationA Geometrical Analysis /[electronic resource] :Antoine Henrot, Michel Pierre - Zuerich, Switzerland :European Mathematical Society Publishing House,2018 - 1 online resource (379 pages) - EMS Tracts in Mathematics (ETM)28.

Restricted to subscribers:https://www.ems-ph.org/ebooks.php

Optimizing the shape of an object to make it the most efficient, resistant, streamlined, lightest, noiseless, stealthy or the cheapest is clearly a very old task. But the recent explosion of modeling and scientific computing have given this topic new life. Many new and interesting questions have been asked. A mathematical topic was born - shape optimization (or optimum design). This book provides a self-contained introduction to modern mathematical approaches to shape optimization, relying only on undergraduate level prerequisite but allowing to tackle open questions in this vibrant field. The analytical and geometrical tools and methods for the study of shapes are developed. In particular, the text presents a systematic treatment of shape variations and optimization associated with the Laplace operator and the classical capacity. Emphasis is also put on differentiation with respect to domains and a FAQ on the usual topologies of domains is provided. The book ends with geometrical properties of optimal shapes, including the case where they do not exist.

ISBN: 9783037196786

Standard No.: 10.4171/178doiSubjects--Topical Terms:

3480907
Calculus & mathematical analysis

Shape Variation and Optimization = A Geometrical Analysis /
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