| 书目名称 | Variational Methods in Shape Optimization Problems | | 编辑 | Dorin Bucur,Giuseppe Buttazzo | | 视频video | | | 概述 | Shape optimization problems are treated from the classical and modern perspectives.Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid | | 丛书名称 | Progress in Nonlinear Differential Equations and Their Applications | | 图书封面 |  | | 描述 | The fascinating ?eld of shape optimization problems has received a lot of attention in recent years, particularly in relation to a number of applications in physics and engineering that require a focus on shapes instead of parameters or functions. The goal of these applications is to deform and modify the admissible shapes in order to comply with a given cost function that needs to be optimized. In this respect the problems are both classical (as the isoperimetric problem and the Newton problem of the ideal aerodynamical shape show) and modern (re?ecting the many results obtained in the last few decades). The intriguing feature is that the competing objects are shapes, i.e., domains of N R , instead of functions, as it usually occurs in problems of the calculus of va- ations. This constraint often produces additional dif?culties that lead to a lack of existence of a solution and to the introduction of suitable relaxed formulations of the problem. However, in certain limited cases an optimal solution exists, due to the special form of the cost functional and to the geometrical restrictions on the class of competing domains. | | 出版日期 | Textbook 2005 | | 关键词 | Excel; functional analysis; optimization; ordinary differential equation; partial differential equation; | | 版次 | 1 | | doi | https://doi.org/10.1007/b137163 | | isbn_ebook | 978-0-8176-4403-1Series ISSN 1421-1750 Series E-ISSN 2374-0280 | | issn_series | 1421-1750 | | copyright | Birkhäuser Boston 2005 |
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发表于 2025-3-21 16:14:33
