Up:Mesh refinement in FE-micromagnetics
Previous: Nucleation Problem
Summary
Results
| mesh |
elements |
mu0*Hc [T] |
CPU time [h] |
| mesh 2 |
500 |
-6.65 |
17 |
| mesh 3 |
25000 |
-6.51 |
250 |
| mesh 1 |
11070 |
-6.44 |
167 |
Conclusions
The presented method provides a reliable technique to simulate domain wall movement with a minimum number of finite elements. The alternate refinement and coarsening reduces the space discretization error and thus avoids domain wall pinning on a too coarse grid. The wall can move until it reaches its true equilibrium position. For the simulation of a nucleation problem the results show a further decrease of the coercive field. Mesh refinement reduces the simulation time to a tenth of the time re
quired to obtain the same accuracy on a uniform mesh.
References
[1] M. Donahue, A Variational Approach to Exchange Energy Calculations in Micromagnetics, J. Appl. Phys. 83 (1998) 6491-6493.
[2] J. Bey, Tetrahedral Grid Refinement, Computing 55 (1995) 355.
[3] G. F. Carey, J. Tinsley Oden, Finite Elements - Computational Aspects, Vol. III, Prentice-Hall, New Jersey, 1984.
[4] D. L. Chopp, J. Comp. Phys. 106 (1993) 77.
[5] D. Lewis, E. Della Torre, Identification of Stiff Modes in Micromagnetic Problems, IEEE Trans. Mag. 33 (1997) 1596-1599.
Acknowledgment
This work has been supported by the Austrian Science Foundation un
der grant no. FWF (P10511-NAW).
Werner Scholz