Domain Decomposition Methods in Optimal Control of Partial Differential Equations:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
2004
|
| Schriftenreihe: | ISNM International Series of Numerical Mathematics
148 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | 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. 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 decompositions 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 underlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces |
| Beschreibung: | 1 Online-Ressource (XIII, 443 p) |
| ISBN: | 9783034878852 9783034896108 |
| DOI: | 10.1007/978-3-0348-7885-2 |
Internformat
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Datensatz im Suchindex
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| author | Lagnese, John E. |
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| author_sort | Lagnese, John E. |
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-3-0348-7885-2 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034878852 9783034896108 |
| language | English |
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| spelling | Lagnese, John E. Verfasser aut Domain Decomposition Methods in Optimal Control of Partial Differential Equations by John E. Lagnese, Günter Leugering Basel Birkhäuser Basel 2004 1 Online-Ressource (XIII, 443 p) txt rdacontent c rdamedia cr rdacarrier ISNM International Series of Numerical Mathematics 148 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. 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 decompositions 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 underlying application, lead to a sequence of individual optimal control problems on the subdomains that are iteratively decoupled across the interfaces Mathematics Mathematical optimization Engineering Calculus of Variations and Optimal Control; Optimization Engineering, general Ingenieurwissenschaften Mathematik Optimale Kontrolle (DE-588)4121428-6 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 gnd rswk-swf Gebietszerlegungsmethode (DE-588)4309232-9 gnd rswk-swf Partielle Differentialgleichung (DE-588)4044779-0 s Gebietszerlegungsmethode (DE-588)4309232-9 s Optimale Kontrolle (DE-588)4121428-6 s 1\p DE-604 Leugering, Günter Sonstige oth ISNM International Series of Numerical Mathematics 148 (DE-604)BV022447306 148 https://doi.org/10.1007/978-3-0348-7885-2 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Lagnese, John E. Domain Decomposition Methods in Optimal Control of Partial Differential Equations ISNM International Series of Numerical Mathematics Mathematics Mathematical optimization Engineering Calculus of Variations and Optimal Control; Optimization Engineering, general Ingenieurwissenschaften Mathematik Optimale Kontrolle (DE-588)4121428-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd |
| subject_GND | (DE-588)4121428-6 (DE-588)4044779-0 (DE-588)4309232-9 |
| title | Domain Decomposition Methods in Optimal Control of Partial Differential Equations |
| title_auth | Domain Decomposition Methods in Optimal Control of Partial Differential Equations |
| title_exact_search | Domain Decomposition Methods in Optimal Control of Partial Differential Equations |
| title_full | Domain Decomposition Methods in Optimal Control of Partial Differential Equations by John E. Lagnese, Günter Leugering |
| title_fullStr | Domain Decomposition Methods in Optimal Control of Partial Differential Equations by John E. Lagnese, Günter Leugering |
| title_full_unstemmed | Domain Decomposition Methods in Optimal Control of Partial Differential Equations by John E. Lagnese, Günter Leugering |
| title_short | Domain Decomposition Methods in Optimal Control of Partial Differential Equations |
| title_sort | domain decomposition methods in optimal control of partial differential equations |
| topic | Mathematics Mathematical optimization Engineering Calculus of Variations and Optimal Control; Optimization Engineering, general Ingenieurwissenschaften Mathematik Optimale Kontrolle (DE-588)4121428-6 gnd Partielle Differentialgleichung (DE-588)4044779-0 gnd Gebietszerlegungsmethode (DE-588)4309232-9 gnd |
| topic_facet | Mathematics Mathematical optimization Engineering Calculus of Variations and Optimal Control; Optimization Engineering, general Ingenieurwissenschaften Mathematik Optimale Kontrolle Partielle Differentialgleichung Gebietszerlegungsmethode |
| url | https://doi.org/10.1007/978-3-0348-7885-2 |
| volume_link | (DE-604)BV022447306 |
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