Name
Abstract | ||
|---|---|---|
A direct integration algorithm is described to compute the magnetostatic field and energy for given magnetization distributions on not necessarily uniform tensor grids. We use an analytically-based tensor approximation approach for function-related tensors, which reduces calculations to multilinear algebra operations. The algorithm scales with N (4/3) for N computational cells used and with N (2/3) (sublinear) when magnetization is given in canonical tensor format. In the final section we confirm our theoretical results concerning computing times and accuracy by means of numerical examples. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2011.12.030 | J. Comput. Physics |
Keywords | Field | DocType |
tucker tensor,magnetization distribution,algorithm scale,tensor grids,n computational cell,stray field computation,stray field,algebra operation,canonical format,canonical tensor format,computing time,uniform tensor grid,analytically-based tensor approximation approach,micromagnetics,direct integration algorithm,low-rank,final section,numerical analysis,multilinear algebra | Exact solutions in general relativity,Tensor density,Tensor,Tensor (intrinsic definition),Mathematical analysis,Tensor field,Cartesian tensor,Symmetric tensor,Tensor contraction,Mathematics | Journal |
Volume | Issue | ISSN |
231 | 7 | 0021-9991 |
Citations | PageRank | References |
4 | 0.55 | 8 |
Authors | ||
6 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lukas Exl | 1 | 14 | 4.79 |
| W. Auzinger | 2 | 27 | 8.28 |
| S Bance | 3 | 8 | 2.17 |
| Markus Gusenbauer | 4 | 16 | 4.29 |
| F Reichel | 5 | 4 | 0.55 |
| T. Schrefl | 6 | 12 | 2.44 |