Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis
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The work Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
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Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis
Resource Information
The work Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis represents a distinct intellectual or artistic creation found in University of Manitoba Libraries. This resource is a combination of several types including: Work, Language Material, Books.
 Label
 Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis
 Title remainder
 Approximation and Asymptotic Analysis
 Statement of responsibility
 by Peter I. Kogut, Günter R. Leugering
 Subject

 Control and Systems Theory
 Control engineering
 Engineering mathematics
 Mathematical and Computational Engineering
 Mechanics
 Mechanics, Applied
 Partial Differential Equations
 Partial differential equations
 Solid Mechanics
 System theory
 Systems Theory, Control
 Applied mathematics
 Calculus of Variations and Optimal Control; Optimization
 Calculus of variations
 Language

 eng
 eng
 Summary
 After over 50 years of increasing scientific interest, optimal control of partial differential equations (PDEs) has developed into a wellestablished discipline in mathematics with myriad applications to science and engineering. As the field has grown, so too has the complexity of the systems it describes; the numerical realization of optimal controls has become increasingly difficult, demanding ever more sophisticated mathematical tools. A comprehensive monograph on the subject, Optimal Control of Partial Differential Equations on Reticulated Domains is intended to address some of the obstacles that face researchers today, particularly with regard to multiscale engineering applications involving hierarchies of gridlike domains. Bringing original results together with others previously scattered across the literature, it tackles computational challenges by exploiting asymptotic analysis and harnessing differences between optimal control problems and their underlying PDEs. The book consists of two parts, the first of which can be viewed as a compendium of modern optimal control theory in Banach spaces. The second part is a focused, indepth, and selfcontained study of the asymptotics of optimal control problems related to reticulated domains—the first such study in the literature. Specific topics covered in the work include: * a mostly selfcontained mathematical theory of PDEs on reticulated domains; * the concept of optimal control problems for PDEs in varying such domains, and hence, in varying Banach spaces; * convergence of optimal control problems in variable spaces; * an introduction to the asymptotic analysis of optimal control problems; * optimal control problems dealing with illposed objects on thin periodic structures, thick periodic singular graphs, thick multistructures with Dirichlet and Neumann boundary controls, and coefficients on reticulated structures. Serving as both a text on abstract optimal control problems and a monograph where specific applications are explored, this book is an excellent reference for graduate students, researchers, and practitioners in mathematics and areas of engineering involving reticulated domains
 Dewey number
 515.353
 http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut

 FnyMtACCN78
 AQVHKldihzY
 Language note
 English
 LC call number

 Q295
 QA402.3402.37
 Literary form
 non fiction
 Nature of contents
 dictionaries
 Series statement
 Systems & Control: Foundations & Applications,
Context
Context of Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic AnalysisWork of
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 Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis, by Peter I. Kogut, Günter R. Leugering, (electronic resource)
 Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis, by Peter I. Kogut, Günter R. Leugering, (electronic resource)
 Optimal Control Problems for Partial Differential Equations on Reticulated Domains : Approximation and Asymptotic Analysis, by Peter I. Kogut, Günter R. Leugering, (electronic resource)
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