| 书目名称 | Optimization with PDE Constraints | | 编辑 | Michael Hinze,Rene Pinnau,Stefan Ulbrich | | 视频video | | | 概述 | Concise functional analytic setting for pde constrained optimization problems.Modern infinite-dimensional tailored algorithmical framework.Structure exploiting, problem adapted discrete treatment of p | | 丛书名称 | Mathematical Modelling: Theory and Applications | | 图书封面 |  | | 描述 | Solving optimization problems subject to constraints given in terms of partial d- ferential equations (PDEs) with additional constraints on the controls and/or states is one of the most challenging problems in the context of industrial, medical and economical applications, where the transition from model-based numerical si- lations to model-based design and optimal control is crucial. For the treatment of such optimization problems the interaction of optimization techniques and num- ical simulation plays a central role. After proper discretization, the number of op- 3 10 timization variables varies between 10 and 10 . It is only very recently that the enormous advances in computing power have made it possible to attack problems of this size. However, in order to accomplish this task it is crucial to utilize and f- ther explore the speci?c mathematical structure of optimization problems with PDE constraints, and to develop new mathematical approaches concerning mathematical analysis, structure exploiting algorithms, and discretization, with a special focus on prototype applications. The present book provides a modern introduction to the rapidly developing ma- ematical ?eld of optimi | | 出版日期 | Book 2009 | | 关键词 | Applications; Banach spaces; Optimal control; Optimality theory; PDE constrained optimization; Tailored d | | 版次 | 1 | | doi | https://doi.org/10.1007/978-1-4020-8839-1 | | isbn_softcover | 978-90-481-8003-5 | | isbn_ebook | 978-1-4020-8839-1Series ISSN 1386-2960 | | issn_series | 1386-2960 | | copyright | Springer Science+Business Media B.V. 2009 |
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发表于 2025-3-21 17:13:02
