Publications in Scientific Journals:
N. Popovic, D. Praetorius:
"Applications of H-Matrix Techniques in Micromagnetics";
Computing,
74
(2005),
3;
177
- 204.
English abstract:
The variational model by {\sc Landau} and {\sc Lifshitz} is
frequently used in the simulation of stationary micromagnetic
phenomena. We consider the limit case of large and soft magnetic
bodies, treating the associated Maxwell equation exactly via an
integral operator $\PP$. In numerical simulations of the resulting
minimization problem, difficulties arise due to the imposed
side-constraint and the unboundedness of the domain. We introduce
a possible discretization by a penalization strategy. Here the
computation of $\PP$ is numerically the most challenging issue, as
it leads to densely populated matrices. We show how an efficient
treatment of both $\PP$ and the corresponding bilinear form can be
achieved by application of $\HH$-matrix techniques.
Electronic version of the publication:
http://www.anum.tuwien.ac.at/~dirk/download/published/pp01_computing74.pdf
Created from the Publication Database of the Vienna University of Technology.