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) | |
Report
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:
| 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 Bartels | Department of Mathematcs University of Maryland, College Park MD 20742, USA phone: +1 301 405 5072, fax: +1 301 405 0827 sba@math.umd.edu http://www.math.umd.edu/~sba |
| Prof. Carsten Carstensen | Department of Mathematics Humboldt-Universität zu Berlin Unter den Linden 6 D-10099 Berlin, Germany phone: +49 30 2093 5489, fax: +49 30 2983 5444 cc@math.hu-berlin.de http://www.mathematik.hu-berlin.de/~cc |
| Dr. Jörg Drwenski | Institut für Angewandte Mathematik der Universität Bonn Wegelerstrasse 10, D-53115 Bonn phone: +49 228 73 2469, fax: +49 227 73 7864 drwenski@iam.uni-bonn.de http://euler.iam.uni-bonn.de/~drwenski/web |
| Dr. Martin Kruzik | Institute 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 kruzik@utia.cas.cz http://www.utia.cas.cz/kruzik |
| Dr. Christof Melcher | Department of Mathematics Humboldt-Universität zu Berlin Unter den Linden 6 D-10099 Berlin, Germany phone: +49 30 2093 5435, fax: +49 30 2983 1842 melcher@mathematik.hu-berlin.de http://www.mathematik.hu-berlin.de/~melcher |
| Prof. Barbara Niethammer | Department of Mathematics Humboldt-Universität zu Berlin Unter den Linden 6 D-10099 Berlin, Germany phone: +49 30 2093 5494, fax: +49 30 2983 1842 niethamm@mathematik.hu-berlin.de http://www.mathematik.hu-berlin.de/~niethamm |
| Dr. Dirk Praetorius | Institute 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 dirk.praetorius@tuwien.ac.at http://www.anum.tuwien.ac.at/~dirk |
| Dr. Andreas Prohl | Seminar f. Angewandte Mathematik ETH Zürich Rämistrasse 101, CH-8092 Zürich, Switzerland phone: +41 44 632 3200, fax: +41 1632 1104 andreas.prohl@sam.math.ethz.ch http://www.sam.math.ethz.ch/~apr |
| Dr. Tomas Roubicek | Mathematical Institute of Charles University Sokolovska 83, Prague 8, Czech Republic phone: +42 0 22191 3213, fax: +42 0 2223 23 394 Tomas.Roubicek@mff.cuni.cz http://www.karlin.mff.cuni.cz/~roubicek |
| Dr. Daniel Schaadt | University 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 dschaadt@ucsd.edu http://kesey.ucsd.edu/~dms |
| Prof. Marian Slodicka | Department of Mathematical Analysis Faculty of Engineering, Ghent University Galglaan, B-9000 Gent, Belgium phone: +32 9 264 4950, fax: +32 9 264 49 87 marian.slodicka@ugent.be http://cage.ugent.be/~ms |