Applied and Computational Mathematics (ACM)

Computational Magnetics

Many electro-technical devices such as e.g. printed circuit boards, electrical drives and antenna systems can be simulated on the basis of electrical circuits. However, the increasing frequencies and the decreasing size force designers to account for wave propagation effects, eddy-current effects, ferromagnetic saturation and hysteresis. For wave propagation effects and eddy-current effects, the results of stand-alone field simulation can be represented by an order-reduced equivalent model, which is then inserted in the overall circuit model. The representation of field-dependent nonlinearities and hysteresis effects, however, is not straightforward.

2D Simulation of a Transformer

2D Simulation of a Transformer

The coupled field and circuit simulation becomes troublesome when a large number of time steps is required. This occurs when e.g. simulating an electrical drive where the machine requires 10 periods of 50 Hz to reach nominal speed whereas the switching of the Insulated Gate Bipolar Transistors in the frequency converter switches at 20 kHz, necessitating a time steps in the order of a microsecond to be used in the simulation. Since the field model consists typically of a few million degrees of freedom, all those unknowns have to be solved in every time step. Fortunately, the relevant time constants in electrical-energy converter are in the range 50 Hz. Hence the field model does not have to be time-stepped at the same rate as the circuit model, in which fast switches are present. The use of adaptive multirate time-integration schemes can reduce the numerical complexity of the problem substantially.

Research Questions

Cooperation

Former and ongoing projects

Publications



2017

3743.

Heilmann, Margareta; Raşa, Ioan
Eigenstructure and iterates for uniquely ergodic Kantorovich modifications of operators
Positivity, 21 (3) :897-910
2017

3742.

Hattwig, Felix
Einfluss von fremdländischen und einheimischen Baumarten auf die Enzymaktivität von Protease, Urease, Xylanase, saure Phosphatase im Oberboden am Beispiel von Douglasie (Pseudotsuga menziesii), Lebensbaum (Thuja occidentalis) sowie Buche (Fagus sylvatica) im Forstbetrieb Staatswald Arnsberg und im Arboretum Burgholz, Wuppertal
2017

3741.

Eckardt, Linda; Pilak, Andreas; Löhr, Manuel; van Treel, Peer; Rau, Johannes; Robra-Bissantz, Susanne
Empirische Untersuchung des EGameFlow eines Serious Games zur Verbesserung des Lernerfolgs
Seite 285-296
15. E-Learning Fachtagung Informatik (DeLFI)
Chemnitz
Herausgeber: GI-Edition Lecture Notes in Informatics (LNI)
2017

ISBN: 978-3-88579-667-1

3740.

Tong, My Linh; Huber, Florian; Kaptouom, Estelle S. Taghuo; Cellnik, Torsten; Kirsch, Stefan F.
Enhanced site-selectivity in acylation reactions with substrate-optimized catalysts on solid supports
Chemical Communications, 53 (21) :3086–3089
2017
ISSN: 1364-548X

3739.

Ehrhardt, Matthias; Bartel, Andreas
Entropic Lattice Boltzmann: an implicit Large-Eddy Simulation?
APS Division of Fluid Dynamics Meeting Abstracts, Seite L28--007
2017

3738.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3737.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3736.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
Error splitting preservation for high order finite difference schemes in the combination technique
Numerical Mathematics: Theory, Methods and Applications, 10 (3) :689–710
2017
Herausgeber: Cambridge University Press

3735.

Calore, Enrico; Gabbana, Alessandro
Evaluation of DVFS techniques on modern HPC processors and accelerators for energy-aware applications
Concurrency and Computation: Practice and Experience, 29 (12) :e4143
2017

3734.

Trautmann, Heike; Rudolph, Günter; Klamroth, Kathrin; Schütze, Oliver; Wiecek, Margaret M.; Jin, Yaochu; Grimme, Christian
Evolutionary Multi-Criterion Optimization
Band 10173aus Lecture Notes in Computer Science,
EMO 2017
Münster, Germany
March 19-22, 2017
Herausgeber: Springer
2017

3733.

Eckardt, Linda; Körber, Steffen; Becht, Eva Johanna; Plath, Alexandra; Al Falah, Sharaf; Robra-Bissantz, Susanne
Führen Serious Games zu Lernerfolg? - Ein Vergleich zum Frontalunterricht
In S. Strahringer & C. Leyh, Editor
Seite 139–150
Herausgeber: Springer Fachmedien Wiesbaden
2017
139–150

3732.

Eckardt, Linda; Siemon, Dominik; Robra-Bissantz, Susanne
GamEducation - Spielelemente in der Universitätslehre
In S. Strahringer & C. Leyh, Editor
Seite 127–138
Herausgeber: Springer Fachmedien Wiesbaden
2017
127–138

3731.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Handling fermions on the lattice
aus SpringerBriefs in Physics
Seite 55–96
Herausgeber: Springer Netherlands
2017
55–96

3730.

Knechtli, Francesco; Günther, Michael; Peardon, Michael
Handling fermions on the lattice
aus SpringerBriefs in Physics
Seite 55–96
Herausgeber: Springer Netherlands
2017
55–96

3729.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175--194
2017
Herausgeber: North-Holland

3728.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175–194
2017
Herausgeber: North-Holland

3727.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175–194
2017
Herausgeber: North-Holland

3726.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order ADI finite difference schemes for parabolic equations in the combination technique with application in finance
Journal of Computational and Applied Mathematics, 316 :175–194
2017
Herausgeber: North-Holland

3725.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order methods for parabolic equations in multiple space dimensions for option pricing problems
2017

3724.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order methods for parabolic equations in multiple space dimensions for option pricing problems
2017

3723.

Hendricks, Christian; Ehrhardt, Matthias; Günther, Michael
High-order methods for parabolic equations in multiple space dimensions for option pricing problems
2017

3722.

Hendricks, C.; Heuer, C.; Ehrhardt, M.; Günther, M.
High-Order-Compact {ADI} schemes for pricing basket options in the combination technique
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor, Novel Methods in Computational Finance, Seite 399--405
In M. Ehrhardt and M. Günther and E. J. W. ter Maten, Editor
Herausgeber: Springer
2017

3721.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order-compact ADI schemes for pricing basket options in the combination technique
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 399–405
Herausgeber: Springer Cham
2017
399–405

3720.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-Order-Compact ADI Schemes for Pricing Basket Options in the Combination Technique
Novel Methods in Computational Finance :399--405
2017
Herausgeber: Springer International Publishing

3719.

Hendricks, Christian; Heuer, Christof; Ehrhardt, Matthias; Günther, Michael
High-order-compact ADI schemes for pricing basket options in the combination technique
In Ehrhardt, Matthias and Günther, Michael and ter Maten, E. Jan W., Editor
Seite 399–405
Herausgeber: Springer Cham
2017
399–405