Name
Title | ||
|---|---|---|
Non-uniform FFT for the finite element computation of the micromagnetic scalar potential. |
Abstract | ||
|---|---|---|
We present a quasi-linearly scaling, first order polynomial finite element method for the solution of the magnetostatic open boundary problem by splitting the magnetic scalar potential. The potential is determined by solving a Dirichlet problem and evaluation of the single layer potential by a fast approximation technique based on Fourier approximation of the kernel function. The latter approximation leads to a generalization of the well-known convolution theorem used in finite difference methods. We address it by a non-uniform FFT approach. Overall, our method scales O(M+N+NlogN) for N nodes and M surface triangles. We confirm our approach by several numerical tests. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1016/j.jcp.2014.04.013 | Journal of Computational Physics |
Keywords | Field | DocType |
Micromagnetics,Scalar potential,Stray field,Non-uniform fast Fourier transform,Finite-element method | Mathematical optimization,Polynomial,Dirichlet problem,Mathematical analysis,Scalar potential,Extended finite element method,Finite element method,Fast Fourier transform,Finite difference method,Mathematics,Mixed finite element method | Journal |
Volume | ISSN | Citations |
270 | 0021-9991 | 2 |
PageRank | References | Authors |
0.41 | 6 | 2 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Lukas Exl | 1 | 14 | 4.79 |
| Thomas Schrefl | 2 | 7 | 3.08 |