Tag Archive for 'Mathematics'

Oberseminar at the Martin-Luther-Universität

I am out of office the first half of the next week. I will give a talk on "Numerische Zeit­integrations­verfahren für gekoppelte Feld- und Netzwerk­probleme" in the Oberseminar Numerische Mathematik of the Martin-Luther-Universität Halle-Wittenberg on December, 6.

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DMV Tagung, Köln

Auf der Tagung des deustchen Mathematikerverbandes habe ich einen Vortrag zum “Mehrskalenverfahren für die Feld- und Netzwerkkopplung” gehalten: es wurden vor allem Mehrskalenverfahren in der Zeit für die schwachgekoppelte Simulation von räumlichverteilten elektromagnetischen Bauteilen mit elektrischen Netzwerken besprochen.

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Promotion

I successfully defended my doctorate on “Multiscale Modeling and Multirate Time-Integration of Field/Circuit Coupled Problems” last Friday.

Update: The thesis is published in the subseries on electromagnetism of the Fortschritt-Berichte VDI and on the e-publication server of the Bergische Universität Wuppertal.

Seminar Talk: Higher Order Cosimulation

I give a seminar talk on Tuesday, 14 Dec 2010, 11:00-12:00 at K.U.Leuven, Dep. Computer Science, Celestijnenlaan 200A, lecture room 05.001.

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SCEE 2010, Toulouse

Sebastian's Poster at SCEE 2010

SCEE Poster Presentation

The 8th conference on Scientific Computing in Electrical Engineering was held in Toulouse, organized by Onera. My contribution was a poster on “Multirate Time Integration of Field/Circuit Coupled Problems by Schur Complements” and I was co-author of the talk on “A modeling based preconditioned dynamic iteration scheme for coupled circuit-device problems” given by Markus Brunk. Continue reading ‘SCEE 2010, Toulouse’

ECMI 2010

Stadthalle

Stadthalle

Today was the last day of the 16th European Conference on Mathematics for Industry that took place in the Historische Stadthalle in Wuppertal. As a member of the working group of applied math and numerical anaylsis, I was part of the local organizing committee.

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Computational Magnetics

Eddy Currents

Next term the chair of numercial analysis, Bergische Universität Wuppertal, offers a lecture on Computational Magnetics. The aim is to develop an Octave software package to simulate magnetoquasistatic fields.

All the typical tasks of applied mathematics will be covered: modeling, software design, coding, testing, simulation und visualization.

SCEE in Finland

Refined RLC CircuitI’m back from the SCEE 2008 (Scientific Computing in Electrical Engineering) Conference in Espoo, Finland.
The picture on the left is given to illustrate my coupling approach during my talk about circuits refined by 3-D conductor models. The circuit is given in terms of the modified nodal analysis and the field is discretized by the finite integration technique. The coupled system is introduced and analyzed; numerical results are obtained by co-simulation (“weak coupling”) and monolithic coupling (“strong”). The basic ideas are taken from my master thesis, but there are new additional theoretical and numerical results.
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Master-Thesis

This is my thesis on computational electromagnetics, from the abstract:

3D Transformer ModelElectric circuits contain devices that exhibit multi-physical effects. We may think of electric or magnetic, but also thermal effects. Traditionally these devices are idealized and only one effect is considered, while the others are disregarded. This yields simple laws that mathematically express their transient behaviour, but does not conform to reality. So sometimes these models are not accurate enough and one wants to simulate a particular device with a refined model. We shall present such a refined modelling approach for electromagnetic devices in this treatise.

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Einbettungsverfahren

Abbildung des Konvergenzbereich des Arcustangens-BeispielsUm Nullstellen von nicht-linearen Problemen zu bestimmen, benötigt man Startwerte in der Nähe der Lösung. Wenn man diese nicht kennt, kann man versuchen das Newton-Verfahren zu globalisieren, zum Beispiel mit einem Einbettungsverfahren. Das eignet sich besonders für praxisnahe Probleme, die von einem ausgezeichneten Parameter abhängen. Dieser Steuerungsparameter kann zum Beispiel bei der Modellierung eines naturwissenschaftlichen Prozesses die Zeit repräsentieren. Details finden sich im Buch Newton Methods for Nonlinear Problems: Affine Invariance and Adaptive Algorithms von Peter Deuflhard, oder in einer Zusammenfassung, die ich als Seminararbeit angefertigt habe.