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



2019

4218.

Bohrmann-Linde, Claudia; Krüger, J.; Schneiderhahn, K.
Chemie 3 (Baden-Würtemberg)
Herausgeber: C.C.Buchner
2019

4217.

Bohrmann-Linde, Claudia; Krüger, J.; Schneiderhahn, K.
Chemie 2 (Baden-Württemberg)
Herausgeber: C.C.Buchner, Bamberg
2019

4216.

Holzschneider, Kristina; Häring, Andreas P.; Kirsch, Stefan F.
2,2-Diazido-1,2-diarylethanones: Synthesis and Reactivity with Primary Amines
European Journal of Organic Chemistry, 2019 (17) :2824–2831
2019
ISSN: 1099-0690

4215.

Haack, Alexander; Crouse, Jeff; Schlüter, Femke-Jutta; Benter, Thorsten; Hopkins, W. Scott
A First Principle Model of Differential Ion Mobility: the Effect of Ion-Solvent Clustering
Journal of The American Society for Mass Spectrometry, 30 (12) :2711-2725
2019

4214.

Haack, Alexander; Crouse, Jeff; Schl{ü}ter, Femke-Jutta; Benter, Thorsten; Hopkins, W. Scott
A First Principle Model of Differential Ion Mobility: the Effect of Ion-Solvent Clustering
Journal of The American Society for Mass Spectrometry, 30 (12) :2711-2725
2019

4213.

Haack, Alexander; Crouse, Jeff; Schl{ü}ter, Femke-Jutta; Benter, Thorsten; Hopkins, W. Scott
A First Principle Model of Differential Ion Mobility: the Effect of Ion-Solvent Clustering
Journal of The American Society for Mass Spectrometry, 30 (12) :2711-2725
2019

4212.

Glück, Jochen
A short note on band projections in partially ordered vector spaces
Indag. Math. (N.S.), 30 (1) :1--6
2019

4211.

Przybylski, Anthony; Klamroth, Kathrin; Lacour, Renaud
A simple and efficient dichotomic search algorithm for multi-objective mixed integer linear programs
Dokument Nummer: 1911.08937
arXiv
2019

4210.

Holzschneider, Kristina; Tong, My Linh; Mohr, Fabian; Kirsch, Stefan F.
A Synthetic Route Toward Tetrazoles: The Thermolysis of Geminal Diazides
Chemistry – A European Journal, 25 (50) :11725–11733
2019
ISSN: 1521-3765

4209.

Fackler, Stephan; Glück, Jochen
A toolkit for constructing dilations on Banach spaces
Proc. Lond. Math. Soc. (3), 118 (2) :416--440
2019

4208.

Ankirchner, Stefan; Klein, Maike; Kruse, Thomas
A verification theorem for optimal stopping problems with expectation constraints
Applied Mathematics & Optimization, 79 (1) :145--177
2019
Herausgeber: Springer US

4207.

Ankirchner, Stefan; Klein, Maike; Kruse, Thomas
A verification theorem for optimal stopping problems with expectation constraints
Applied Mathematics & Optimization, 79 :145–177
2019
Herausgeber: Springer New York

4206.

Teng, Long; Clevenhaus, Anna
Accelerated implementation of the ADI schemes for the Heston model with stochastic correlation
JCS, 36 :101022
2019
ISSN: 1877-7503

4205.

Teng, Long; Clevenhaus, Anna
Accelerated implementation of the ADI schemes for the Heston model with stochastic correlation
Journal of Computational Science, 36 :101022
2019
Herausgeber: Elsevier

4204.

Gillon, Renaud; Wieers, Aarnout; Deleu, Frederik; Götthans, Tomáš; Janssen, Rick; Schoenmaker, Wim; Maten, E. Jan W.
Ageing models and reliability prediction
In ter Maten, E. Jan W. and Brachtendorf, Hans-Georg and Pulch, Roland and Schoenmaker, Wim and De Gersem, Herbert, Editor aus Mathematics in Industry
Seite 425–455
Herausgeber: Springer Cham
2019
425–455

4203.

Zaspel, Peter
Algorithmic Patterns for H-Matrices on Many-Core Processors
J. Sci. Comput., 78 (2) :1174-1206
2019

4202.

Kruse, Thomas; Strack, Philipp
An inverse optimal stopping problem for diffusion processes
Mathematics of Operations Research, 44 (2) :423--439
2019
Herausgeber: INFORMS

4201.

Kruse, Thomas; Strack, Philipp
An inverse optimal stopping problem for diffusion processes
Mathematics of Operations Research, 44 (2) :423–439
2019
Herausgeber: INFORMS

4200.

Bolten, Matthias; Hahne, J.
An SDE-waveform relaxation method with application in distributed neural network simulations
PAMM, 19 :e201900373
2019

4199.

Bolten, M.; Hahne, J.
An SDE-waveform relaxation method with application in distributed neural network simulations
PAMM, 19 :e201900373
2019

4198.

Bolten, M.; Hahne, J.
An SDE-waveform relaxation method with application in distributed neural network simulations
PAMM, 19 :e201900373
2019

4197.

Lübke, Steffen
Anreicherung der Pyrolyseprodukte von Mikroplastik auf Carbotrap{\circledR} 300 und Analytik mittels GCxGC/MS
2019

4196.

Kruse, Thomas; Urusov, Mikhail
Approximating exit times of continuous Markov processes
arXiv preprint arXiv:1904.04344
2019

4195.

Stiglmayr, Michael; Görtz, Simon; Klamroth, Kathrin
Assigning Students to Schools for an Internship
In Fortz B. and Labbé M., Editor, Operations Research Proceedings 2018, Seite 151-157
In Fortz B. and Labbé M., Editor
Herausgeber: Springer, Cham
2019

4194.

Glück, Jochen; Haase, Markus
Asymptotics of operator semigroups via the semigroup at infinity
Positivity and noncommutative analysis aus Trends Math.
Seite 167--203
Herausgeber: Birkhäuser/Springer, Cham
2019
167--203