Domain Decomposition Methods in Optimal Control of Partial Differential Equations: 148 (International Series of Numerical Mathematics) - Tapa blanda
Sinopsis
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have
become a major tool in numerical analysis of partial differential equations.
This monograph considers problems of optimal control for partial differential equations of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite dimensional level.
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Reseña del editor
While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. This monograph emphasizes domain decomposition methods in the context of so-called virtual optimal control problems and treats optimal control problems for partial differential equations and their decompositions using an all-at-once approach.
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations (International Series of Numerical Mathematics)
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Birkhäuser Basel Okt 2012, 2012
ISBN 10: 3034896107
ISBN 13: 9783034896108
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Taschenbuch. Condición: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -This monograph considers problems of optimal control for partial differential equa tions of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite-dimensional level. While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. A keyword in this context is parallelism. This development is perhaps best illustrated by the fact that we just encountered the 15th annual conference precisely on this topic. Without attempting to provide a complete list of introductory references let us just mention the monograph by Quarteroni and Valli [91] as a general up-to-date reference on domain decomposition methods for partial differential equations. The emphasis of this monograph is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decom positions by an all-at-once approach. This means that we are mainly interested in decomposition techniques which can be interpreted as virtual optimal control problems and which, together with the real control problem coming from an un derlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces. 464 pp. Englisch. Nº de ref. del artículo: 9783034896108
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Condición: New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. Emphasis is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decompositions by an all-at-once approach. Nº de ref. del artículo: 4319423
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Taschenbuch. Condición: Neu. Domain Decomposition Methods in Optimal Control of Partial Differential Equations | Günter Leugering (u. a.) | Taschenbuch | xiii | Englisch | 2012 | Birkhäuser Basel | EAN 9783034896108 | Verantwortliche Person für die EU: Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin, juergen[dot]hartmann[at]springer[dot]com | Anbieter: preigu. Nº de ref. del artículo: 129466289
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations (International Series of Numerical Mathematics)
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Domain Decomposition Methods in Optimal Control of Partial Differential Equations
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Birkhäuser Basel, Birkhäuser Basel Okt 2012, 2012
ISBN 10: 3034896107
ISBN 13: 9783034896108
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Taschenbuch. Condición: Neu. This item is printed on demand - Print on Demand Titel. Neuware -This monograph considers problems of optimal control for partial differential equa tions of elliptic and, more importantly, of hyperbolic types on networked domains. The main goal is to describe, develop and analyze iterative space and time domain decompositions of such problems on the infinite-dimensional level. While domain decomposition methods have a long history dating back well over one hundred years, it is only during the last decade that they have become a major tool in numerical analysis of partial differential equations. A keyword in this context is parallelism. This development is perhaps best illustrated by the fact that we just encountered the 15th annual conference precisely on this topic. Without attempting to provide a complete list of introductory references let us just mention the monograph by Quarteroni and Valli [91] as a general up-to-date reference on domain decomposition methods for partial differential equations. The emphasis of this monograph is to put domain decomposition methods in the context of so-called virtual optimal control problems and, more importantly, to treat optimal control problems for partial differential equations and their decom positions by an all-at-once approach. This means that we are mainly interested in decomposition techniques which can be interpreted as virtual optimal control problems and which, together with the real control problem coming from an un derlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces.Springer Basel AG in Springer Science + Business Media, Heidelberger Platz 3, 14197 Berlin 464 pp. Englisch. Nº de ref. del artículo: 9783034896108
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