Optimal Control of Partial Differential Equations II: Theory and Applications: Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Basel
Birkhäuser Basel
1987
|
| Schriftenreihe: | International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique
78 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat problems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrodynamics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to constrained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. Finally, some contributions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant atmosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute |
| Beschreibung: | 1 Online-Ressource (VII, 227 p) |
| ISBN: | 9783034876278 9783034876292 |
| DOI: | 10.1007/978-3-0348-7627-8 |
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| 490 | 1 | |a International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique |v 78 | |
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Datensatz im Suchindex
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| discipline | Allgemeine Naturwissenschaft Mathematik |
| doi_str_mv | 10.1007/978-3-0348-7627-8 |
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| id | DE-604.BV042421949 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T01:21:10Z |
| institution | BVB |
| isbn | 9783034876278 9783034876292 |
| language | English |
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| series | International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique |
| series2 | International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique |
| spelling | Hoffmann, K.-H. edt Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 edited by K.-H. Hoffmann, W. Krabs Basel Birkhäuser Basel 1987 1 Online-Ressource (VII, 227 p) txt rdacontent c rdamedia cr rdacarrier International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique 78 This volume contains the contributions of participants of the conference "Optimal Control of Partial Differential Equations" which, under the chairmanship of the editors, took place at the Mathematisches Forschungsinstitut Oberwolfach from May 18 to May 24, 1986. The great variety of topics covered by the contributions strongly indicates that also in the future it will be impossible to develop a unifying control theory of partial differential equations. On the other hand, there is a strong tendency to treat problems which are directly connected to practical applications. So this volume contains real-world applications like optimal cooling laws for the production of rolled steel or concrete solutions for the problem of optimal shape design in mechanics and hydrodynamics. Another main topic is the construction of numerical methods. This includes applications of the finite element method as well as of Quasi-Newton-methods to constrained and unconstrained control problems. Also, very complex problems arising in the theory of free boundary value problems are treated. Finally, some contributions show how practical problems stimulate the further development of the theory; in particular, this is the case for fields like suboptimal control, necessary optimality conditions and sensitivity analysis. As usual, the lectures and stimulating discussions took place in the pleasant atmosphere of the Mathematisches Forschungsinstitut Oberwolfach. Special thanks of the participants are returned to the Director as well as to the staff of the institute Science (General) Science, general Naturwissenschaft Krabs, W. edt International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique 78 (DE-604)BV022447306 78 https://doi.org/10.1007/978-3-0348-7627-8 Verlag Volltext |
| spellingShingle | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 International Series of Numerical Mathematics Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d'Analyse numérique Science (General) Science, general Naturwissenschaft |
| title | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 |
| title_auth | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 |
| title_exact_search | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 |
| title_full | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 edited by K.-H. Hoffmann, W. Krabs |
| title_fullStr | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 edited by K.-H. Hoffmann, W. Krabs |
| title_full_unstemmed | Optimal Control of Partial Differential Equations II: Theory and Applications Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 edited by K.-H. Hoffmann, W. Krabs |
| title_short | Optimal Control of Partial Differential Equations II: Theory and Applications |
| title_sort | optimal control of partial differential equations ii theory and applications conference held at the mathematisches forschungsinstitut oberwolfach may 18 24 1986 |
| title_sub | Conference held at the Mathematisches Forschungsinstitut, Oberwolfach, May 18–24, 1986 |
| topic | Science (General) Science, general Naturwissenschaft |
| topic_facet | Science (General) Science, general Naturwissenschaft |
| url | https://doi.org/10.1007/978-3-0348-7627-8 |
| volume_link | (DE-604)BV022447306 |
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