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Kurzbeschreibung des Projekts
| Projektnummer |
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Einzelprojekte
P21564
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| Titel |
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Verifikation von Optimalitätsbedingungen |
| ProjektleiterIn |
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WACHSMUTH Daniel |
| Bewilligungsdatum |
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11.05.2009 |
| Universität / Forschungsstätte |
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Radon Institute for Computational Applied Mathematics (RICAM), Österreichische Akademie der Wissenschaften |
| Gebiet(e) |
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| Keywords |
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optimal control, optimality conditions, numerical methods, potimization in function space, partial differential equations, inequality constraints |
Many technical processes are described by partial differential equations.
Naturally, it is important to optimize these processes. This leads to optimization
problems in an infinite-dimensional setting. Such problems cannot be solved
by hand in general, since they involve partial differential equations. Hence,
it is necessary to derive finite-dimensional approximations by discretization,
which can then be solved with the help of computers. If one has computed a solution
of such a discretized problem, the question arises, whether this solution approximates
a local or even a global optimum of the original problem. This project will
deal with this issue. The main focus is on establishing methods that enable
to answer the question about optimality.
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Hinweis |
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Die Inhalte der Abstracts werden vom FWF nicht überarbeitet, die Verantwortung liegt bei der Verfasserin bzw. beim Verfasser. |
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