Domain Decomposition Methods in Optimal Control of Partial Differential Equations PDF Download
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Author: John E. Lagnese
Publisher: Birkhäuser
ISBN: 3034878850
Category : Mathematics
Languages : en
Pages : 454
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Book Description
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.
Author: Bruno Després
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Book Description
Ce travail se compose de deux parties complètement indépendantes. La première considère l'étude d'une méthode itérative de décomposition de domaine sans recouvrement, avec des conditions de transmissions de type mixte, pour résolution de problèmes de propagation d'ondes en régime fréquentiel, tels que le problème de Helmholtz ou les équations de Maxwell harmoniques. Sur le plan théorique, nous montrons la convergence dans un cadre général par des méthodes énergétiques, étudions le taux de convergence dans des cas particuliers par des méthodes spectrales, et envisageons diverses modifications de la méthode. Sur le plan numérique, nous discrétisons à l'aide des éléments finis mixtes hybrides, et exposons des résultats numériques tridimensionnels pour le problème de Helmholtz et les équations de Maxwell harmoniques. Le deuxième sujet s'intéresse à un problème inverse spectral: le théorème de Borg pour l'équation de Hill vectorielle. Nous sommes en mesure de démontrer ce théorème grâce à l'obtention d'une estimation sur la dérivée des valeurs propres par rapport au paramètre de pseudo périodicité. Cette estimation semble nouvelle.
Author: John E. Lagnese
Publisher: Birkhäuser
ISBN: 3034878850
Category : Mathematics
Languages : en
Pages : 454
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Book Description
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.
Author: Susanne C. Brenner
Publisher: Springer Nature
ISBN: 3030950255
Category : Mathematics
Languages : en
Pages : 778
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Book Description
These are the proceedings of the 26th International Conference on Domain Decomposition Methods in Science and Engineering, which was hosted by the Chinese University of Hong Kong and held online in December 2020. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2020.
Author: Petter E. Bjørstad
Publisher: Springer
ISBN: 3319938738
Category : Mathematics
Languages : en
Pages : 556
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Book Description
These are the proceedings of the 24th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in Svalbard, Norway in February 2017. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2017.
Author: Ronald Haynes
Publisher: Springer Nature
ISBN: 3030567508
Category : Mathematics
Languages : en
Pages : 508
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Book Description
These are the proceedings of the 25th International Conference on Domain Decomposition Methods in Science and Engineering, which was held in St. John's, Newfoundland, Canada in July 2018. Domain decomposition methods are iterative methods for solving the often very large systems of equations that arise when engineering problems are discretized, frequently using finite elements or other modern techniques. These methods are specifically designed to make effective use of massively parallel, high-performance computing systems. The book presents both theoretical and computational advances in this domain, reflecting the state of art in 2018.
Author: Gary Cohen
Publisher: Springer Science & Business Media
ISBN: 3642558569
Category : Technology & Engineering
Languages : en
Pages : 923
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Book Description
This volume includes articles on the mathematical modeling and numerical simulation of various wave phenomena. For many years Waves 2003 and its five prior conferences have been an important forum for discussions on wave propagation. The topic is equally important for fundamental sciences, engineering, mathematics and, in particular, for industrial applications. Areas of specific interest are acoustics, electromagnetics, elasticity and related inverse and optimization problems. This book gives an extensive overview of recent developments in a very active field of scientific computing.
Author: Alfredo Berm?dez
Publisher: SIAM
ISBN: 9780898714708
Category : Science
Languages : en
Pages : 1062
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Book Description
This conference was held in Santiago de Compostela, Spain, July 10-14, 2000. This volume contains papers presented at the conference covering a broad range of topics in theoretical and applied wave propagation in the general areas of acoustics, electromagnetism, and elasticity. Both direct and inverse problems are well represented. This volume, along with the three previous ones, presents a state-of-the-art primer for research in wave propagation. The conference is conducted by the Institut National de Recherche en Informatique et en Automatique with the cooperation of SIAM.
Author: Goong Chen
Publisher: CRC Press
ISBN: 9780203904190
Category : Mathematics
Languages : en
Pages : 382
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Book Description
An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a
Author: A. Bossavit
Publisher: IOS Press
ISBN: 9781586034191
Category : Medical
Languages : en
Pages : 686
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Book Description
This publication contains a selection of 124 papers among the 165 full-length contributions which were submitted on-site at ISEM 2003. The objective of the symposia series is to vigorously promote the research in the field of electro-mechanical systems. The reader will, we hope, appreciate the variety of topics that were addressed. This is what makes ISEM so stimulating for whoever is interested in the applications of electromagnetics and its opening toward many technical fields. Yet, this publication does not intend to be a mosaic of sub-disciplines, but aims at their integration and synergy. This will be demonstrated by the present selection.
Author: Guenter Leugering
Publisher: CRC Press
ISBN: 1420028316
Category : Mathematics
Languages : en
Pages : 417
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Book Description
The field of control theory in PDEs has broadened considerably as more realistic models have been introduced and investigated. This book presents a broad range of recent developments, new discoveries, and mathematical tools in the field. The authors discuss topics such as elasticity, thermo-elasticity, aero-elasticity, interactions between fluids a
