Fast computation for large magnetostatic systems adapted for micromagnetism
type: Dataset
description: In this paper, an efficient method is developed for computing the magnetostatic field for ferromagnetic materials on large structured meshes. The problem is discretized using a finite volume approximation. The discrete operator is proved to preserve the main properties of the continuous model, and a lower estimate of its lower eigenvalue is given. Using the fact that the discrete operator has a block-Toeplitz structure for cubic meshes in parallelepipedic domains, a fast solving method is built. Based upon the use of fast Fourier transform, this method allows to reduce the computational cost to from $n^2$ to $O(n\log(n))$ but also to reduce the storage to $O(n)$ instead of $n^2$ where $n$ is the number of cells in the mesh.
landing page: 1064-8275
keyword: 15a18-47g20-47b35-65m60
keyword: block-toeplitz-matrices
keyword: finite-volume-method
keyword: infoeu-reposemanticsarticle
keyword: journal-articles
keyword: magnetostatics
keyword: mathmath-namathematics-mathnumerical-analysis-mathna
keyword: maxwell-equations
issued: 2026-05-09T11:53:41.764196
modified: 2026-05-09T11:53:41.764200
language: en
contact point: Organization
  fn: CCSD

test_moissonnage_selune
type: Agent

Fast computation for large magnetostatic systems adapted for micromagnetism
type: Distribution
format: HTML
access URL: https://hal.science/hal-00086968
issued: 2026-05-09T11:53:41.768054
modified: 2026-05-09T11:53:41.752594