Optimization of Elliptic Systems: Theory and Applications - Couverture souple
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Synopsis
This monograph provides a comprehensive and accessible introduction to the optimization of elliptic systems. The book addresses some of the pressing unsolved questions in the field, concentrating on two main directions: the optimal control of linear and nonlinear elliptic equations, and problems involving unknown and/or variable domains. Throughout, the authors elucidate connections between seemingly different types of problems. One basic feature is to relax the needed regularity assumptions as much as possible to include larger classes of possible applications. The six chapters give a gradual and accessible presentation of the material, and a special effort is made to present numerous examples. In addition to its appeal to students and researchers, much of this material will prove useful for scientists from other fields where the optimization of elliptic systems occurs, such as physics, mechanics, and engineering.
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Optimization of Elliptic Systems: Theory and Applications (Springer Monographs in Mathematics)
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Optimization of Elliptic Systems
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Springer New York Nov 2010, 2010
ISBN 10 : 1441920935
ISBN 13 : 9781441920935
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Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field. 528 pp. Englisch. N° de réf. du vendeur 9781441920935
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Optimization of Elliptic Systems
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Springer New York, 2010
ISBN 10 : 1441920935
ISBN 13 : 9781441920935
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Couverture souple
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Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Provides a comprehensive and accessible introduction to the optimization of elliptic systemsThe authors clarify connections between seemingly disparate types of problemsOrganized to impart a gradual and accessible presentation. N° de réf. du vendeur 4172628
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Optimization of Elliptic Systems | Theory and Applications
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Taschenbuch. Etat : Neu. Optimization of Elliptic Systems | Theory and Applications | Pekka Neittaanmaki (u. a.) | Taschenbuch | xvi | Englisch | 2010 | Springer | EAN 9781441920935 | Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu Print on Demand. N° de réf. du vendeur 107253177
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Optimization of Elliptic Systems
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ISBN 10 : 1441920935
ISBN 13 : 9781441920935
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Taschenbuch. Etat : Neu. This item is printed on demand - Print on Demand Titel. Neuware -The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 528 pp. Englisch. N° de réf. du vendeur 9781441920935
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Taschenbuch. Etat : Neu. Druck auf Anfrage Neuware - Printed after ordering - The present monograph is intended to provide a comprehensive and accessible introduction to the optimization of elliptic systems. This area of mathematical research, which has many important applications in science and technology. has experienced an impressive development during the past two decades. There are already many good textbooks dealing with various aspects of optimal design problems. In this regard, we refer to the works of Pironneau [1984], Haslinger and Neittaanmaki [1988], [1996], Sokolowski and Zolksio [1992], Litvinov [2000], Allaire [2001], Mohammadi and Pironneau [2001], Delfour and Zolksio [2001], and Makinen and Haslinger [2003]. Already Lions [I9681 devoted a major part of his classical monograph on the optimal control of partial differential equations to the optimization of elliptic systems. Let us also mention that even the very first known problem of the calculus of variations, the brachistochrone studied by Bernoulli back in 1696. is in fact a shape optimization problem. The natural richness of this mathematical research subject, as well as the extremely large field of possible applications, has created the unusual situation that although many important results and methods have already been est- lished, there are still pressing unsolved questions. In this monograph, we aim to address some of these open problems; as a consequence, there is only a minor overlap with the textbooks already existing in the field. N° de réf. du vendeur 9781441920935
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