Model order reduction for magneto-quasistatic equations
- We consider model reduction of Maxwell's equations arising in magneto-quasistatic field problems. A finite element discretization of such equations leads to large-scale differential-algebraic equations of special structure. For model reduction of linear systems, we employ a balanced truncation approach, whereas nonlinear systems are reduced using a proper orthogonal decomposition method combined with a discrete empirical interpolation technique. We will exploit the special structure of the underlying problem to improve the performance of the model reduction algorithms. Furthermore, we discuss an efficient evaluation of the Jacobi matrix required in nonlinear time integration of the reduced models.
Download full text files
Statistics
Print On Demand
Additional Services
| Author: | Johanna Kerler-Back, Tatjana StykelORCiDGND |
|---|---|
| URN: | urn:nbn:de:bvb:384-opus4-33467 |
| Frontdoor URL | https://opus.bibliothek.uni-augsburg.de/opus4/3346 |
| Series (Serial Number): | Preprints des Instituts für Mathematik der Universität Augsburg (2015-14) |
| Type: | Preprint |
| Language: | English |
| Publishing Institution: | Universität Augsburg |
| Release Date: | 2015/10/23 |
| Tag: | Maxwell's equations; magneto-quasistatic problems; model order reduction; balanced truncation; proper orthogonal decomposition; discrete empirical interpolation method |
| GND-Keyword: | Maxwellsche Gleichungen; Ordnungsreduktion; Orthogonale Zerlegung; Interpolation; Mathematisches Modell; Differential-algebraisches Gleichungssystem |
| Note: | Erschienen in: IFAC-PapersOnLine, Proceedings of the 8th Vienna International Conference on Mathematical Modelling (MATHMOD 2015, Vienna, Austria, February 18-20, 2015), 48(1), 2015, pp. 240-241 |
| Institutes: | Mathematisch-Naturwissenschaftlich-Technische Fakultät |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik | |
| Mathematisch-Naturwissenschaftlich-Technische Fakultät / Institut für Mathematik / Lehrstuhl für Numerische Mathematik | |
| Dewey Decimal Classification: | 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik |
| Licence (German): |  Deutsches Urheberrecht mit Print on Demand |
