Discretization and Optimal Control of Lagrangian

vor 2 Monaten


Erlangen, Deutschland Friedrich-Alexander-Universität Erlangen-Nürnberg Vollzeit

**Das Aufgabengebiet umfasst u. a.**:
**Description**
Classical Lagrangian and Hamiltonian field theories are at the core of continuum mechanics, electromagnetism and general relativity. These theories have a rich geometric structure of which multisymplecticity may prove highly valuable when performing numerical simulations. The structure of optimal control problems is analogous to that of Lagrangian and Hamiltonian mechanics and field theories. Therefore, the numerical treatment of these, particularly when applied to mechanical and field theoretical systems, may benefit from the use of structure-preserving numerical methods. In this project we will study and develop high-order multisymplectic numerical integrators for continuum systems with and without constraints. These discretisations will be then applied in optimal control problems. We will also attempt to imbue structure-preserving properties to non-preserving methods using neural networks. The project will be carried out in collaboration with our partner team at ICMAT in Madrid, Spain whose expertise in geometric mechanics is well-known.

**Notwendige Qualifikation**:

- Knowledge of analytical mechanics, differential geometry, numerical methods and programming.
- Good written and oral communication skills in English (German desirable).

**Stellenbeschreibung**:

- Beabsichtigte Eingruppierung je nach Qualifikation und persönlichen Voraussetzungen:
Entgelt-/Bes.Gr.**:E13**:

- Die Stelle ist befristet.
- Es handelt sich um eine Vollzeitstelle.
- Sonstiges:

- Voraussichtlicher Einstellungstermin: 1.1.2025.

**Die Bewerbungsfrist endet zum: 15.11.2024.**:
**Für Auskünfte steht Ihnen zur Verfügung**:
Dr. Sato Martin de Almagro, Rodrigo Takuro
Department Maschinenbau (MB)
Lehrstuhl für Technische Dynamik (LTD, Prof. Leyendecker)

**Die Bewerbungen sind zu richten an**:
Dr. Sato Martin de Almagro, Rodrigo Takuro
Department Maschinenbau (MB)
Lehrstuhl für Technische Dynamik (LTD, Prof. Leyendecker)
Immerwahrstraße 1
91058 Erlangen

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- und Arbeitszeugnisse**

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