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Optimization, Optimal Control And Partial Differential Equations
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Source: The Open Library
The Open Library Search Results
Search results from The Open Library
1Optimal control and partial differential equations
By Alain Bensoussan and Agnès Sulem
“Optimal control and partial differential equations” Metadata:
- Title: ➤ Optimal control and partial differential equations
- Authors: Alain BensoussanAgnès Sulem
- Language: English
- Number of Pages: Median: 750
- Publisher: IOS Press
- Publish Date: 2000
“Optimal control and partial differential equations” Subjects and Themes:
Edition Identifiers:
- The Open Library ID: OL12317381M
- Library of Congress Control Number (LCCN): 00110270
- All ISBNs: 1586030965 - 9781586030964
Access and General Info:
- First Year Published: 2000
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
Online Access
Downloads Are Not Available:
The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.
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2Optimal Control and Partial Differential Equations
By Alain Bensoussan
“Optimal Control and Partial Differential Equations” Metadata:
- Title: ➤ Optimal Control and Partial Differential Equations
- Author: Alain Bensoussan
- Publisher: IOS Press
- Publish Date: 2001
Edition Identifiers:
- The Open Library ID: OL12361830M
- All ISBNs: 9784274904127 - 4274904121
Access and General Info:
- First Year Published: 2001
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
Online Access
Downloads Are Not Available:
The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.
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3Optimization, optimal control, and partial differential equations
By Viorel Barbu, Dan Tiba, V. Barbu and J. F. Bonnans

“Optimization, optimal control, and partial differential equations” Metadata:
- Title: ➤ Optimization, optimal control, and partial differential equations
- Authors: Viorel BarbuDan TibaV. BarbuJ. F. Bonnans
- Language: English
- Number of Pages: Median: 347
- Publisher: ➤ Birkhauser - Birkhäuser Verlag - Island Press - Birkhauser Verlag - Springer
- Publish Date: 1992 - 2012 - 2013
- Publish Location: Boston - Basel
- Dewey Decimal Classification: 519.2
- Library of Congress Classification: QA-0402.50000000.O654 1992
“Optimization, optimal control, and partial differential equations” Subjects and Themes:
- Subjects: ➤ Control theory - Partial Differential equations - Mathematical optimization - Congresses - Optimization (Mathematical Theory) - Mathematics - Science/Mathematics - Probability & Statistics - General - Differential equations, Partia - Differential equations, Partial - Optimisation mathématique - Congrès - Commande, théorie de la - Equations aux dérivées partielles - Science (General) - Science, general
Edition Identifiers:
- The Open Library ID: ➤ OL27965793M - OL37424192M - OL8074210M - OL50683356M - OL1722162M - OL9090065M
- Online Computer Library Center (OCLC) ID: 26263429
- Library of Congress Control Number (LCCN): 92025607
- All ISBNs: ➤ 376432788X - 9780817627881 - 9783034886253 - 303488625X - 3034886268 - 9783034886260 - 081762788X - 9783034897044 - 3034897049 - 9783764327880
Book Classifications
- Dewey Decimal (DDC): ➤ ❛519.2❜.
- Library of Congress Classification (LCC): ➤ ❛QA-0402.50000000.O654 1992❜.
Access and General Info:
- First Year Published: 1992
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
Online Access
Downloads Are Not Available:
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4Optimization and Control for Partial Differential Equations
By Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat
“Optimization and Control for Partial Differential Equations” Metadata:
- Title: ➤ Optimization and Control for Partial Differential Equations
- Authors: Roland HerzogMatthias HeinkenschlossDante KaliseGeorg StadlerEmmanuel Trélat
- Language: English
- Publisher: de Gruyter GmbH, Walter
- Publish Date: 2022
Edition Identifiers:
- The Open Library ID: OL35883351M - OL35871094M - OL35879270M
- All ISBNs: ➤ 3110696002 - 9783110696004 - 9783110695984 - 9783110695960 - 3110695960 - 3110695987
Access and General Info:
- First Year Published: 2022
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
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5Constrained Optimization and Optimal Control for Partial Differential Equations
By Günter Leugering, Sebastian Engell, Andreas Griewank, Michael Hinze, Rolf Rannacher, Volker Schulz, Michael Ulbrich and Stefan Ulbrich

“Constrained Optimization and Optimal Control for Partial Differential Equations” Metadata:
- Title: ➤ Constrained Optimization and Optimal Control for Partial Differential Equations
- Authors: ➤ Günter LeugeringSebastian EngellAndreas GriewankMichael HinzeRolf RannacherVolker SchulzMichael UlbrichStefan Ulbrich
- Number of Pages: Median: 624
- Publisher: Birkhäuser
- Publish Date: 2014
“Constrained Optimization and Optimal Control for Partial Differential Equations” Subjects and Themes:
- Subjects: ➤ Mathematical optimization - Differential equations, partial
Edition Identifiers:
- The Open Library ID: OL28268594M
- All ISBNs: 9783034808071 - 3034808070
Access and General Info:
- First Year Published: 2014
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
Online Access
Downloads Are Not Available:
The book is not public therefore the download links will not allow the download of the entire book, however, borrowing the book online is available.
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6Constrained optimization and optimal control for partial differential equations
By Günter Leugering

“Constrained optimization and optimal control for partial differential equations” Metadata:
- Title: ➤ Constrained optimization and optimal control for partial differential equations
- Author: Günter Leugering
- Language: English
- Number of Pages: Median: 622
- Publisher: Birkhäuser
- Publish Date: 2012
- Publish Location: Basel [Switzerland] - New York
- Dewey Decimal Classification:
- Library of Congress Classification: QA-0377.00000000.C76292 2012
“Constrained optimization and optimal control for partial differential equations” Subjects and Themes:
- Subjects: ➤ Partial Differential equations - Constrained optimization - Mathematical optimization - Differential equations, partial - Mathematics - Computer science - Partial Differential Equations - Optimization - Computational Mathematics and Numerical Analysis
Edition Identifiers:
- The Open Library ID: OL25246550M
- Online Computer Library Center (OCLC) ID: 731915445
- Library of Congress Control Number (LCCN): 2011941447
- All ISBNs: 3034801335 - 3034801327 - 9783034801331 - 9783034801324
Book Classifications
- Library of Congress Classification (LCC): ➤ ❛QA-0377.00000000.C76292 2012❜.
Access and General Info:
- First Year Published: 2012
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
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7Optimal Control of Partial Differential Equations II : Theory and Applications
By K. -H Hoffmann and W. Krabs
“Optimal Control of Partial Differential Equations II : Theory and Applications” Metadata:
- Title: ➤ Optimal Control of Partial Differential Equations II : Theory and Applications
- Authors: K. -H HoffmannW. Krabs
- Language: English
- Number of Pages: Median: 234
- Publisher: ➤ Birkhäuser Boston - Birkhauser Verlag
- Publish Date: 1987 - 2013
“Optimal Control of Partial Differential Equations II : Theory and Applications” Subjects and Themes:
- Subjects: Science (General) - Science, general
Edition Identifiers:
- The Open Library ID: OL51606929M - OL37424180M
- All ISBNs: 3034876270 - 9783034876292 - 9783034876278 - 3034876297
Access and General Info:
- First Year Published: 1987
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
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8Control and optimization for observations of systems governed by controlled partial differential equations
By Renjeng Su
“Control and optimization for observations of systems governed by controlled partial differential equations” Metadata:
- Title: ➤ Control and optimization for observations of systems governed by controlled partial differential equations
- Author: Renjeng Su
- Publisher: University of Colorado
- Publish Date: 1989
- Publish Location: Boulder, Colo
“Control and optimization for observations of systems governed by controlled partial differential equations” Subjects and Themes:
- Subjects: Control - Flexible structures - Optimization
Edition Identifiers:
- The Open Library ID: OL19243626M
Access and General Info:
- First Year Published: 1989
- Is Full Text Available: No
- Is The Book Public: No
- Access Status: No_ebook
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Source: Harvard Library
Harvard Library Search Results
Search results from Harvard Library
1Optimal control of partial differential equations
Proceedings of the IFIP WG 7.2 International Conference Irsee, April 9-12, 1990
By K.-H. (Karl-Heinz) Hoffmann, Werner Krabs and IFIP-WG 7.2
“Optimal control of partial differential equations” Metadata:
- Title: ➤ Optimal control of partial differential equations
- Authors: K.-H. (Karl-Heinz) HoffmannWerner KrabsIFIP-WG 7.2
- Language: English
- Publisher: Springer-Verlag
- Publish Date: c1987
- Publish Location: Germany
- Genres: ➤ bibliography - Conference papers and proceedings - Congresses
“Optimal control of partial differential equations” Subjects and Themes:
- Subjects: ➤ Differential equations, Partial - Congresses - Control theory - Mathematical optimization
Edition Specifications:
- Number of Pages: v, 245 p. ; 24 cm.
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 24388799
- All ISBNs: 0387535918
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2Optimal control of partial differential equations II
theory and applications : conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18-24, 1986
By K.-H. (Karl-Heinz) Hoffmann and Werner Krabs
“Optimal control of partial differential equations II” Metadata:
- Title: ➤ Optimal control of partial differential equations II
- Authors: K.-H. (Karl-Heinz) HoffmannWerner Krabs
- Language: English
- Publisher: Birkhäuser Verlag
- Publish Date: 1987
- Publish Location: Switzerland
- Genres: ➤ bibliography - conference publication - Conference papers and proceedings - Congresses
“Optimal control of partial differential equations II” Subjects and Themes:
- Subjects: ➤ Differential equations, Partial - Control theory
Edition Specifications:
- Number of Pages: 234 p. : ill. ; 24 cm.
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 14905963
- Library of Congress Control Number (LCCN): ^^^86030965^
- All ISBNs: 0817618465
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3Optimal control of partial differential equations
international conference in Chemnitz, Germany, April 20-25, 1998
By K.-H. (Karl-Heinz) Hoffmann, Günter Leugering, Fredi Tröltzsch and Germany) Conference on Optimal Control of Partial Differential Equations (1998 : Chemnitz
"This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998. The conference was organized by the editors of this volume. This volume offers a wide spectrum of aspects of the discipline and is of interest to mathematicians as well as to scientists working in the fields of applications."--BOOK JACKET.
“Optimal control of partial differential equations” Metadata:
- Title: ➤ Optimal control of partial differential equations
- Authors: K.-H. (Karl-Heinz) HoffmannGünter LeugeringFredi TröltzschGermany) Conference on Optimal Control of Partial Differential Equations (1998 : Chemnitz
- Language: English
- Publisher: Birkhäuser Verlag
- Publish Date: 1999
- Publish Location: Massachusetts
- Genres: ➤ bibliography - conference publication - Conference papers and proceedings - Chemnitz (1998) - Congresses
- Dewey Decimal Classification: 629.8/312
- Library of Congress Classification: QA402.3 .O662 1999
“Optimal control of partial differential equations” Subjects and Themes:
- Subjects: ➤ Control theory - Differential equations, Partial - Mathematical optimization
Edition Specifications:
- Number of Pages: viii, 323 p. : ill. ; 24 cm.
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 41834916
- Library of Congress Control Number (LCCN): ^^^99037066^
- All ISBNs: 3764361514 - 0817661514
Book Classifications
- Dewey Decimal (DDC): ➤ ❛629.8/312❜.
- Library of Congress Classification (LCC): ➤ ❛QA402.3 .O662 1999❜.
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4Optimal control of partial differential equations
analysis, approximation, and applications
By Andrea Manzoni, S. Salsa and Alfio Quarteroni
"This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" held at the Wasserschloss Klaffenbach near Chemnitz (Saxony, Germany) from April 20 to 25, 1998. The conference was organized by the editors of this volume. This volume offers a wide spectrum of aspects of the discipline and is of interest to mathematicians as well as to scientists working in the fields of applications."--BOOK JACKET.
“Optimal control of partial differential equations” Metadata:
- Title: ➤ Optimal control of partial differential equations
- Authors: Andrea ManzoniS. SalsaAlfio Quarteroni
- Language: English
- Publisher: Springer,
- Publish Location: ➤ Switzerland - Cham, Switzerland
- Genres: bibliography - Llibres electrònics
- Dewey Decimal Classification: 515.353
- Library of Congress Classification: QA377 .M369 2021
“Optimal control of partial differential equations” Subjects and Themes:
- Subjects: ➤ Mathematical analysis - Equacions en derivades parcials
Edition Specifications:
- Number of Pages: 1 online resource (507 pages)
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 1290777755
- All ISBNs: 3-030-77226-8
Book Classifications
- Dewey Decimal (DDC): ➤ ❛515.353❜.
- Library of Congress Classification (LCC): ➤ ❛QA377 .M369 2021❜.
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5Estimation and control problems for stochastic partial differential equations
By Pavel S. Knopov and Olena N. Deriyeva
Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields.
“Estimation and control problems for stochastic partial differential equations” Metadata:
- Title: ➤ Estimation and control problems for stochastic partial differential equations
- Authors: Pavel S. KnopovOlena N. Deriyeva
- Language: English
- Publisher: Springer,
- Publish Date: 2013.
- Publish Location: New York (State) - New York
- Genres: bibliography
- Dewey Decimal Classification: 515.353
- Library of Congress Classification: QA370-380
“Estimation and control problems for stochastic partial differential equations” Subjects and Themes:
- Subjects: ➤ Stochastic partial differential equations
Edition Specifications:
- Number of Pages: ➤ 1 online resource (x, 183 pages).
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 859668147
- All ISBNs: 9781461482864 - 1461482860
Book Classifications
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6Estimation and Control Problems for Stochastic Partial Differential Equations
By Pavel S. Knopov and Olena N. Deriyeva
Focusing on research surrounding aspects of insufficiently studied problems of estimation and optimal control of random fields, this book exposes some important aspects of those fields for systems modeled by stochastic partial differential equations. It contains many results of interest to specialists in both the theory of random fields and optimal control theory who use modern mathematical tools for resolving specific applied problems, and presents research that has not previously been covered. More generally, this book is intended for scientists, graduate, and post-graduates specializing in probability theory and mathematical statistics. The models presented describe many processes in turbulence theory, fluid mechanics, hydrology, astronomy, and meteorology, and are widely used in pattern recognition theory and parameter identification of stochastic systems. Therefore, this book may also be useful to applied mathematicians who use probability and statistical methods in the selection of useful signals subject to noise, hypothesis distinguishing, distributed parameter systems optimal control, and more. Material presented in this monograph can be used for education courses on the estimation and control theory of random fields.
“Estimation and Control Problems for Stochastic Partial Differential Equations” Metadata:
- Title: ➤ Estimation and Control Problems for Stochastic Partial Differential Equations
- Authors: Pavel S. KnopovOlena N. Deriyeva
- Language: English
- Publisher: Springer New York :
- Publish Date: 2013.
- Publish Location: United States - New York, NY
- Genres: text
- Dewey Decimal Classification: 515.353
- Library of Congress Classification: QA370-380
“Estimation and Control Problems for Stochastic Partial Differential Equations” Subjects and Themes:
- Subjects: ➤ Differential equations, Partial - Mathematics - System theory - Differential equations, partial - Mathematical optimization - Calculus of Variations and Optimal Control; Optimization - Systems Theory, Control
Edition Specifications:
- Number of Pages: X, 183 p. online resource.
Edition Identifiers:
- All ISBNs: 9781461482864 - 9781461482857
Book Classifications
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7Optimization and Control for Partial Differential Equations
Uncertainty quantification, open and closed-loop control, and shape optimization
By Luís Almeida, Jesús Bellver Arnau, Marco Bernreuther, Arthur Bottois, Carolin Dirks, Michel Duprez, Jorge Estrada, Florian Feppon, Martin Gugat, Philipp A. Guth, M. (Matthias) Heinkenschloss, Evelyn Herberg, Michael Herty, Roland Herzog, Michael Hinze, Adrian Hirn, Dante Kalise, Gontran Lance, Ulrich Langer, Jérôme Lemoine, Gabriela Marinoschi, Georg Müller, Arnaud Münch, Joost A. A. Opschoor, Yannick Privat, Claudia Schillings, Ch. (Christoph) Schwab, Georg Stadler, Olaf Steinbach, Emmanuel Trélat, Emmanuel Trélat, Fredi Tröltzsch, Nicolas Vauchelet, Stefan Volkwein, Simon Weissmann, Benedikt Wirth, Winnifried Wollner, Huidong Yang, Jakob Zech and E. (Enrique) Zuazua
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
“Optimization and Control for Partial Differential Equations” Metadata:
- Title: ➤ Optimization and Control for Partial Differential Equations
- Authors: ➤ Luís AlmeidaJesús Bellver ArnauMarco BernreutherArthur BottoisCarolin DirksMichel DuprezJorge EstradaFlorian FepponMartin GugatPhilipp A. GuthM. (Matthias) HeinkenschlossEvelyn HerbergMichael HertyRoland HerzogMichael HinzeAdrian HirnDante KaliseGontran LanceUlrich LangerJérôme LemoineGabriela MarinoschiGeorg MüllerArnaud MünchJoost A. A. OpschoorYannick PrivatClaudia SchillingsCh. (Christoph) SchwabGeorg StadlerOlaf SteinbachEmmanuel TrélatEmmanuel TrélatFredi TröltzschNicolas VaucheletStefan VolkweinSimon WeissmannBenedikt WirthWinnifried WollnerHuidong YangJakob ZechE. (Enrique) Zuazua
- Language: English
- Publisher: De Gruyter,
- Publish Location: Germany - Berlin ;
- Genres: dictionary - government publication
“Optimization and Control for Partial Differential Equations” Subjects and Themes:
- Subjects: Differentialgleichungen - Quantifizierung - Regelung - Steuereung - Unsicherheit
Edition Specifications:
- Number of Pages: ➤ 1 online resource (VIII, 466 p.)
Edition Identifiers:
- Library of Congress Control Number (LCCN): 2021950264
- All ISBNs: 9783110695984
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8Optimization, optimal control, and partial differential equations
first Franco-Romanian conference, Iași, September 7-11, 1992
By Viorel. Barbu, J. F. (Joseph Frédéric) Bonnans and Dan Tiba
This book highlights new developments in the wide and growing field of partial differential equations (PDE)-constrained optimization. Optimization problems where the dynamics evolve according to a system of PDEs arise in science, engineering, and economic applications and they can take the form of inverse problems, optimal control problems or optimal design problems. This book covers new theoretical, computational as well as implementation aspects for PDE-constrained optimization problems under uncertainty, in shape optimization, and in feedback control, and it illustrates the new developments on representative problems from a variety of applications.
“Optimization, optimal control, and partial differential equations” Metadata:
- Title: ➤ Optimization, optimal control, and partial differential equations
- Authors: ➤ Viorel. BarbuJ. F. (Joseph Frédéric) BonnansDan Tiba
- Language: English
- Publisher: Birkhäuser Verlag
- Publish Date: 1992
- Publish Location: Switzerland
- Genres: ➤ bibliography - conference publication - Conference papers and proceedings - Congresses
- Dewey Decimal Classification: 519.2
- Library of Congress Classification: QA402.5 .O654 1992
“Optimization, optimal control, and partial differential equations” Subjects and Themes:
- Subjects: ➤ Mathematical optimization - Control theory - Differential equations, Partial
Edition Specifications:
- Number of Pages: xiii, 347 p. : ill. ; 25 cm.
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 26263429
- Library of Congress Control Number (LCCN): ^^^92025607^
- All ISBNs: 376432788X - 081762788X
Book Classifications
- Dewey Decimal (DDC): ➤ ❛519.2❜.
- Library of Congress Classification (LCC): ➤ ❛QA402.5 .O654 1992❜.
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9Coupled System of Differential-Algebraic Equation and Hyperbolic Partial Differential Equation
Analysis and Optimal Control
By Dennis Groh
Coupled systems of differential-algebraic equations (DAEs) and partial differential equations (PDEs) appear in various fields of applications such as electrical engineering, bio-mathematics, or multi-physics. They are of particular interest for the modeling and simulation of flow networks, for instance energy transport networks. In this thesis, we discuss a system in which an abstract DAE and a second order hyperbolic PDE are coupled through nonlinear coupling functions.The analysis presented is split into two parts: In the first part, we introduce the concept of matrix-induced linear operators which arise naturally in the context of abstract DAEs but have surprisingly not been discussed in literature on abstract DAEs so far. We also present a novel index-1-like criterion that allows to separate dynamical and non-dynamical parts of the abstract DAE while allowing for a considerable reduction of required assumptions, compared to existing theoretical results for abstract DAEs.In the second part, we build upon the developed techniques. We show how to combine the theoretical frameworks for abstract DAEs and second order hyperbolic PDEs in a way such that both parts of the solution are of similar regularity. We then use a fixed-point approach to prove existence and uniqueness of local as well as global solutions to the coupled system.In the last part of this thesis, we throw a glance at a related optimal control problem and prove existence of a global minimizer.
“Coupled System of Differential-Algebraic Equation and Hyperbolic Partial Differential Equation” Metadata:
- Title: ➤ Coupled System of Differential-Algebraic Equation and Hyperbolic Partial Differential Equation
- Author: Dennis Groh
- Language: English
- Publisher: Logos Verlag Berlin,
- Publish Date: 2024.
- Publish Location: ➤ No place, unknown, or undetermined - [s.l.]
- Genres: government publication
“Coupled System of Differential-Algebraic Equation and Hyperbolic Partial Differential Equation” Subjects and Themes:
- Subjects: Mathematics
Edition Specifications:
- Number of Pages: 1 online resource (154 p.)
Edition Identifiers:
- All ISBNs: 9783832557737 - 3832557733
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10Constrained optimization and optimal control for partial differential equations
By Günter Leugering
Coupled systems of differential-algebraic equations (DAEs) and partial differential equations (PDEs) appear in various fields of applications such as electrical engineering, bio-mathematics, or multi-physics. They are of particular interest for the modeling and simulation of flow networks, for instance energy transport networks. In this thesis, we discuss a system in which an abstract DAE and a second order hyperbolic PDE are coupled through nonlinear coupling functions.The analysis presented is split into two parts: In the first part, we introduce the concept of matrix-induced linear operators which arise naturally in the context of abstract DAEs but have surprisingly not been discussed in literature on abstract DAEs so far. We also present a novel index-1-like criterion that allows to separate dynamical and non-dynamical parts of the abstract DAE while allowing for a considerable reduction of required assumptions, compared to existing theoretical results for abstract DAEs.In the second part, we build upon the developed techniques. We show how to combine the theoretical frameworks for abstract DAEs and second order hyperbolic PDEs in a way such that both parts of the solution are of similar regularity. We then use a fixed-point approach to prove existence and uniqueness of local as well as global solutions to the coupled system.In the last part of this thesis, we throw a glance at a related optimal control problem and prove existence of a global minimizer.
“Constrained optimization and optimal control for partial differential equations” Metadata:
- Title: ➤ Constrained optimization and optimal control for partial differential equations
- Author: Günter Leugering
- Language: English
- Publisher: Birkhäuser
- Publish Date: c2012
- Publish Location: Switzerland
- Genres: bibliography
“Constrained optimization and optimal control for partial differential equations” Subjects and Themes:
- Subjects: ➤ Differential equations, Partial - Constrained optimization - Mathematics - Computer science - Mathematical optimization - Partial Differential Equations - Optimization - Computational Mathematics and Numerical Analysis
Edition Specifications:
- Number of Pages: ➤ xi, 622 p. : ill. (some col.) ; 25 cm.
Edition Identifiers:
- Online Computer Library Center (OCLC) ID: 731915445
- Library of Congress Control Number (LCCN): ^^2011941447
- All ISBNs: 9783034801324 - 3034801327 - 9783034801331 - 3034801335
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