Micromagnetics: Analysis and Computation


MATHEON-Workshop at the Humboldt-Universität zu Berlin

April 07th, 2005



Organizers:    Carsten Carstensen (Humboldt-Universität zu Berlin)
Barbara Niethammer (Humboldt-Universität zu Berlin)
Andreas Prohl (ETH Zurich)
Tomas Roubicek (Charles University of Prague)


Seven speakers from Prague, Zurich, Vienna plus the two MATHEON junior researcher groups enjoyed one long day on micromagnetics at the scenic main building of the Humboldt-Universität zu Berlin. Topics ranged from aspects in the analysis of micromagnetics and particular topics in domain walls and thin films to computational micromagnetics of stationary and evolutionary problems with fast evolutionary algorithms. Applications were discussed to soft large magnets as well as hard magnets to storage devices. Particular focus was on the pattern formation in ferromagnetic media. Its multiscale nature due to different inherent physical and geometric scales, together with nonlocal phenomena and a nonconvex side-constraint, leads to a rich behaviour and pattern formation. This variety of effects was also the reason for severe problems in analysis, model validation and reductions, and numerics, which were only accessed recently. One primary goal of this workshop was to discuss hierarchies of microscale to effective macroscale ferromagnetic models, as well as their analysis and numerics.

This booklet contains the program and the transparencies presented at the Workshop Micromagnetics: Analysis and Computation held in Berlin on April 7, 2005. All copyrights (and responsibilities) stay wuth the authors indicated; the material is for internal use only. In case of any questions or preprint requests etc., please contact the speakers directly. An email and address list is provided below.

The four organizers thank Ramona Klaass-Thiele for taking responsibility of all local administrative details. This booklet was put together by Ursula Schweigler. The financial suppoert of the Austrian Science Fund (FWF) under grant P15274-N12 Efficient Algorithms in Computational Micromagnetics is thankfully acknowledged.


Timetable:   Room: No. 2097, Unter den Linden 6.

09:30     coffee & tea
10:00     opening
10:15     Andreas Prohl (ETH Zurich)
Modelling, Analysis, and Numerics of Ferromagnetism
11:00     Tomas Roubicek (Charles University Prague)
Mathematical and computational modelling of bulk feromagnets
11:45     Martin Kruzik (Charles University Prague)
Optimal control on an evolutionary equilibrium in micromagnetics
12:30     Lunch
13:30     Christof Melcher (Humboldt-Universität zu Berlin)
Domain wall motion in ferromagnetic layers
14:15     Sören Bartels (University of Maryland)
Approximation of Harmonic Maps and Finite Time Blow Up for Landau-Lifshitz Gilbert Equations
15:00     Marian Slodicka (Ghent University)
A nonlinear degenerate eddy current model for ferromagnetic materials
15.45     coffee & tea
16.15     Dirk Praetorius (Vienna University of Technology)
H-Matrix Techniques for Stray-Field Computations in Computational Micromagnetics
17:00     Jörg Drwenski (Universität Bonn)
H-Matrix Method in a Reduced 2-d Model for Thin-Film Micromagnetics
17:45     Daniel Schaadt (University of California)
Numerical simulation of the micromagnetic structure of MnAs films
18:15     closing

List of Participants

Dr. Sören BartelsDepartment of Mathematcs
University of Maryland, College Park
MD 20742, USA
phone: +1 301 405 5072, fax: +1 301 405 0827
Prof. Carsten CarstensenDepartment of Mathematics
Humboldt-Universität zu Berlin
Unter den Linden 6
D-10099 Berlin, Germany
phone: +49 30 2093 5489, fax: +49 30 2983 5444
Dr. Jörg DrwenskiInstitut für Angewandte Mathematik
der Universität Bonn
Wegelerstrasse 10, D-53115 Bonn
phone: +49 228 73 2469, fax: +49 227 73 7864
Dr. Martin KruzikInstitute of Information Theory and Automation
Academy of Sciences, Pod vodarenskou vezi 4
CZ-182 08, Prague, Czech Republic
phone: +42 0 266 052 395, fax: +42 0 286 581 419
Dr. Christof MelcherDepartment of Mathematics
Humboldt-Universität zu Berlin
Unter den Linden 6
D-10099 Berlin, Germany
phone: +49 30 2093 5435, fax: +49 30 2983 1842
Prof. Barbara NiethammerDepartment of Mathematics
Humboldt-Universität zu Berlin
Unter den Linden 6
D-10099 Berlin, Germany
phone: +49 30 2093 5494, fax: +49 30 2983 1842
Dr. Dirk PraetoriusInstitute for Analysis and Scientific Computing
Vienna University of Technology
Wiedner Hauptstrasse 8-10, A-1040 Wien, Austria
phone: +43 1 58801 10150, fax: +43 1 58801 10196
Dr. Andreas ProhlSeminar f. Angewandte Mathematik
ETH Zürich
Rämistrasse 101, CH-8092 Zürich, Switzerland
phone: +41 44 632 3200, fax: +41 1632 1104
Dr. Tomas RoubicekMathematical Institute of Charles University
Sokolovska 83, Prague 8, Czech Republic
phone: +42 0 22191 3213, fax: +42 0 2223 23 394
Dr. Daniel SchaadtUniversity of California, San Diego
Dept. of Electrical and Computer Engineering
9500 Gilman Drive, La Jolla, CA 92093.0407, USA
phone: +1 858 822 1412, fax: +1 858 534 2486
Prof. Marian SlodickaDepartment of Mathematical Analysis
Faculty of Engineering, Ghent University
Galglaan, B-9000 Gent, Belgium
phone: +32 9 264 4950, fax: +32 9 264 49 87

Last update: 03.05.2005