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Robust Initialization of Differential-Algebraic Equations Using Homotopy
Sielemann, Michael and Casella, Francesco and Otter, Martin and Clauß, Christoph and Eborn, Jonas and Mattsson, Sven Erik and Olsson, Hans (2011) Robust Initialization of Differential-Algebraic Equations Using Homotopy. In: Proceedings of 8th International Modelica Conference. 8th International Modelica Conference, 20.-22. Mrz 2011, Dresden.
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Abstract
The new operator homotopy (...) was introduced in Modelica 3.2 to improve the solution of difficult initialization problems. The background and motivation for this approach is discussed and it is demonstrated how to apply it for mechanical, electrical and fluid systems. Furthermore, it is shown at hand of several examples how an inappropriate formulation might lead to ill-posed problems.
| Document Type: | Conference or Workshop Item (Speech, Paper) | ||||||||||||||||
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| Title: | Robust Initialization of Differential-Algebraic Equations Using Homotopy | ||||||||||||||||
| Authors: |
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| Date: | 2011 | ||||||||||||||||
| Journal or Publication Title: | Proceedings of 8th International Modelica Conference | ||||||||||||||||
| Refereed publication: | Yes | ||||||||||||||||
| In ISI Web of Science: | No | ||||||||||||||||
| Status: | Published | ||||||||||||||||
| Keywords: | initialization, DAE, homotopy, nonlinear equations | ||||||||||||||||
| Event Title: | 8th International Modelica Conference | ||||||||||||||||
| Event Location: | Dresden | ||||||||||||||||
| Event Type: | international Conference | ||||||||||||||||
| Event Dates: | 20.-22. Mrz 2011 | ||||||||||||||||
| HGF - Research field: | Aeronautics, Space and Transport | ||||||||||||||||
| HGF - Program: | Aeronautics | ||||||||||||||||
| HGF - Program Themes: | L AR - Aircraft Research | ||||||||||||||||
| DLR - Research area: | Aeronautics | ||||||||||||||||
| DLR - Program: | L AR - Aircraft Research | ||||||||||||||||
| DLR - Research theme (Project): | L - Systems & Cabin | ||||||||||||||||
| Location: | Oberpfaffenhofen | ||||||||||||||||
| Institutes and Institutions: | Institute of Robotics and Mechatronics > System Dynamics and Control (former Control Design Engineering) | ||||||||||||||||
| Deposited By: | Monika Klauer | ||||||||||||||||
| Deposited On: | 15 Dec 2011 17:53 | ||||||||||||||||
| Last Modified: | 15 Dec 2011 17:53 |
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