Römer, Ulrich
:
Numerical Approximation of the Magnetoquasistatic Model with Uncertainties and its Application to Magnet Design.
[Online-Edition: http://tuprints.ulb.tu-darmstadt.de/4950]
Technische Universität
, Darmstadt
[Dissertation], (2015)
Kurzbeschreibung (Abstract)
This work addresses the magnetoquasistatic approximation of Maxwell’s equations with uncertainties in material data, shape and current sources, originating, e.g., from manufacturing imperfections. Well-established numerical schemes for the deterministic model are recalled. A parametric/stochastic model is established on the partial differential equation level and its differentiability is analyzed. Sensitivity analysis techniques are at the core of the uncertainty propagation methods discussed afterwards. Schemes for propagating both probabilistic and nonprobabilistic uncertain inputs as well as techniques for dimension reduction are addressed and compared. The findings are illustrated by simple numerical and real world examples with emphasis on accelerator magnet design using open source, in-house and commercial software.
| Typ des Eintrags: | Dissertation | ||||
|---|---|---|---|---|---|
| Erschienen: | 2015 | ||||
| Autor(en): | Römer, Ulrich | ||||
| Titel: | Numerical Approximation of the Magnetoquasistatic Model with Uncertainties and its Application to Magnet Design | ||||
| Sprache: | Englisch | ||||
| Kurzbeschreibung (Abstract): | This work addresses the magnetoquasistatic approximation of Maxwell’s equations with uncertainties in material data, shape and current sources, originating, e.g., from manufacturing imperfections. Well-established numerical schemes for the deterministic model are recalled. A parametric/stochastic model is established on the partial differential equation level and its differentiability is analyzed. Sensitivity analysis techniques are at the core of the uncertainty propagation methods discussed afterwards. Schemes for propagating both probabilistic and nonprobabilistic uncertain inputs as well as techniques for dimension reduction are addressed and compared. The findings are illustrated by simple numerical and real world examples with emphasis on accelerator magnet design using open source, in-house and commercial software. |
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| Ort: | Darmstadt | ||||
| Fachbereich(e)/-gebiet(e): | 18 Fachbereich Elektrotechnik und Informationstechnik 18 Fachbereich Elektrotechnik und Informationstechnik > Institut für Theorie Elektromagnetischer Felder (2019 umbenannt in Institut für Teilchenbeschleunigung und Theorie Elektromagnetische Felder) |
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| Hinterlegungsdatum: | 04 Okt 2015 19:55 | ||||
| Offizielle URL: | http://tuprints.ulb.tu-darmstadt.de/4950 | ||||
| URN: | urn:nbn:de:tuda-tuprints-49504 | ||||
| Referenten: | Weiland, Prof. Dr. Thomas ; Ulbrich, Prof. Dr. Stefan ; Sebastian, Prof. Dr. Schöps | ||||
| Datum der mündlichen Prüfung / Verteidigung / mdl. Prüfung: | 13 Februar 2015 | ||||
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