Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6932613 | Journal of Computational Physics | 2014 | 16 Pages |
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.
Related Topics
Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
L. Exl, T. Schrefl,