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



2022

4741.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities
Foundations of Computational Mathematics, 22 (4) :905–966
2022
Herausgeber: Springer New York

4740.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities
Foundations of Computational Mathematics, 22 (4) :905--966
2022
Herausgeber: Springer US New York

4739.

Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas
Overcoming the curse of dimensionality in the numerical approximation of parabolic partial differential equations with gradient-dependent nonlinearities
Foundations of Computational Mathematics, 22 (4) :905–966
2022
Herausgeber: Springer New York

4738.

Ballaschk, Frederic
Oxidations with Iodine(V) Compounds – From Stoichiometric Compounds to Catalysts
In Ishihara, Kazuaki and Muñiz, Kilian, Editor, Iodine Catalysis in Organic Synthesis
Seite 299–334
Herausgeber: Wiley
1 Edition
2022
299–334

4737.

Zang, Martin; Haussmann, Norman; Mease, Robin; Stroka, Steven; Clemens, Markus; Burkert, Amelie; Popp, Alexander; Schmülling, Benedikt
Personenschutz bei induktivem Laden von Fahrzeugbatterien -- Ansätze zur praktikablen Echtzeitbestimmung der magneto-quasistatischen Körperexposition
In Proff, Heike, Editor
Seite 173--194
Herausgeber: Springer Fachmedien Wiesbaden, Wiesbaden
2022
173--194

4736.

Acu, Ana-Maria; Heilmann, Margareta; Raşa, Ioan; Seserman, Andra
Poisson approximation to the binomial distribution: extensions to the convergence of positive operators
2022

4735.

Amin Zargaran, Uwe Janoske
Prediction of the mixing efficiency in rotor-stator system for high viscous mixtures based on a combined Lagrangian particle approach with an Immersed-Boundary Method
September 2022

4734.


Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2022

ISBN: 978-3-031-11817-3

4733.


Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2022

ISBN: 978-3-031-11817-3

4732.


Progress in Industrial Mathematics at ECMI 2021
In Ehrhardt, Matthias and Günther, Michael, Editor aus Mathematics in Industry
Herausgeber: Springer Cham
2022

ISBN: 978-3-031-11817-3

4731.

Ehrhardt, Matthias; Günther, Michael
Progress in Industrial Mathematics at ECMI 2021
2022

4730.

Kääpä, Alex; Kampert, Karl-Heinz; Mayotte, Eric
Propagation of extragalactic cosmic rays in the Galactic magnetic field
PoS, EPS-HEP2021 :088
2022

4729.

Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Herausgeber: Academic Press

4728.

Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Herausgeber: Academic Press

4727.

Ankirchner, Stefan; Kruse, Thomas; Löhr, Wolfgang; Urusov, Mikhail
Properties of the EMCEL scheme for approximating irregular diffusions
Journal of Mathematical Analysis and Applications, 509 (1) :125931
2022
Herausgeber: Academic Press

4726.

Haussmann, N.; Clemens, M.
Quantifizierung der Unsicherheit bei der Expositionsbestimmung des menschlichen Körpers durch niederfrequente Magnetfelder auf GPUs mit Monte-Carlo Simulationen
URSI e.V. Deutschland 2022 Kleinheubacher Tagung (KHB 2022)
Miltenberg, Germany
Herausgeber: Abstract accepted
2022

4725.

Kienitz, J.; McWalter, T. A.; Rudd, R.; Platen, E.
Quantization methods for stochastic differential equations
In Günther, Michael and Schilders, Wil, Editor aus Mathematics in Industry
Seite 299–329
Herausgeber: Springer Cham
2022
299–329

4724.

Kienitz, J.; McWalter, T. A.; Rudd, R.; Platen, E.
Quantization methods for stochastic differential equations
In Günther, Michael and Schilders, Wil, Editor aus Mathematics in Industry
Seite 299–329
Herausgeber: Springer Cham
2022
299–329

4723.

Addazi, A.; others
Quantum gravity phenomenology at the dawn of the multi-messenger era-A review
Prog. Part. Nucl. Phys., 125 :103948
2022

4722.


Reactions with Geminal Diazides: Long Known, Full of Surprises, and New Opportunities
Synthesis, 54 (20) :4447-4460
2022
Herausgeber: Thieme
ISSN: 0039-7881

4721.

Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :1--13
2022
Herausgeber: SpringerOpen

4720.

Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :12
2022
Herausgeber: Springer Verlag

4719.

Bannenberg, Marcus WFM; Ciccazzo, Angelo; Günther, Michael
Reduced order multirate schemes in industrial circuit simulation
Journal of Mathematics in Industry, 12 (1) :12
2022
Herausgeber: Springer Verlag

4718.

Ackermann, Julia; Kruse, Thomas; Urusov, Mikhail
Reducing Obizhaeva-Wang type trade execution problems to LQ stochastic control problems
arXiv preprint arXiv:2206.03772
2022

4717.

Rudd, Ralph; McWalter, Thomas; Kienitz, Jörg; Platen, Eckhard
Robust product Markovian quantization
The Journal of Computational Finance, 25 (4) :55–78
2022
Herausgeber: Incisive Media