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Titlebook: Optimal Control Problems for Partial Differential Equations on Reticulated Domains; Approximation and As Peter I. Kogut,Günter R. Leugering

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書目名稱Optimal Control Problems for Partial Differential Equations on Reticulated Domains
副標(biāo)題Approximation and As
編輯Peter I. Kogut,Günter R. Leugering
視頻videohttp://file.papertrans.cn/703/702802/702802.mp4
概述Applications from mechanics and material sciences have been simplified so that prerequisite knowledge in those areas is not required.Methods described are useful for researchers working with reticulat
叢書名稱Systems & Control: Foundations & Applications
圖書封面Titlebook: Optimal Control Problems for Partial Differential Equations on Reticulated Domains; Approximation and As Peter I. Kogut,Günter R. Leugering
描述.Optimal control of partial differential equations (PDEs) is a well-established discipline in mathematics with many interfaces to science and engineering. During?the development of this area, the complexity of the systems to be controlled has also increased significantly; however, the numerical realization of these complex systems has become an issue in scientific computing, as the number of variables involved may easily exceed a couple of million..In order to carry out model-reduction on these systems, the authors of this work?have developed a method based on asymptotic analysis.?They aim at combining techniques of homogenization and approximation in order to cover optimal control problems defined on reticulated domains, networked systems such as lattice, honeycomb, or?hierarchical structures. Because of these structures‘?complicated geometry, the asymptotic analysis is even more?important, as a direct numerical computation of solutions would be extremely difficult.?The work‘s?first part can be?used as an advanced textbook on?abstract optimal control problems, in particular on reticulated domains, while?the second part?serves as a research monograph where stratified applications a
出版日期Book 2011
關(guān)鍵詞Banach spaces; Lagrange multiplier; asymptotic analysis; convergence concepts; elliptic equations; gap ph
版次1
doihttps://doi.org/10.1007/978-0-8176-8149-4
isbn_ebook978-0-8176-8149-4Series ISSN 2324-9749 Series E-ISSN 2324-9757
issn_series 2324-9749
copyrightSpringer Science+Business Media, LLC 2011
The information of publication is updating

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Boundary Velocity Suboptimal Control of Incompressible Flow in Cylindrically Perforated Domainsstems, and hence the numerical calculation of an optimal control for such systems, very complicated. So, much effort has been made for the development of penalty, approximation, and relaxation methods for solving optimal Dirichlet control problems (see Abergel and Temam (.), Babu?ka (.), Hou and Rav
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Peter I. Kogut,Günter R. Leugeringto manage these processes, there are some lessons to be learned from management and organisational theory. Much of this literature has been written in the context of managing a private business, nevertheless many of the concepts and ideas transfer suprisingly well both to the management of the publi
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