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Discretization anisotropy in finite difference micromagnetic simulations

Discretization anisotropy in finite difference micromagnetic simulations
Discretization anisotropy in finite difference micromagnetic simulations
Finite difference-based micromagnetic simulations are a powerful tool for the computational investigation of magnetic structures. In this article, we demonstrate how the discretization of continuous micromagnetic equations introduces a numerical “discretization anisotropy.” We demonstrate that, in certain scenarios, this anisotropy operates on an energy scale comparable to that of intrinsic physical phenomena. Furthermore, we illustrate that selecting appropriate finite difference stencils and minimizing the size of the discretization cells are effective strategies to mitigate the discretization anisotropy.
0018-9464
Holt, Samuel J.R.
7f359d0c-ccdd-4595-933d-0d0a5325be2c
Petrocchi, Andrea
50319822-7d77-4d68-8095-017cdbabbad2
Lang, Martin
4b5ae654-6a58-4c2c-a116-87161fcd533d
Pathak, Swapneel A.
210044c9-174a-4ff9-885b-0fc2e75bfdcb
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160
Holt, Samuel J.R.
7f359d0c-ccdd-4595-933d-0d0a5325be2c
Petrocchi, Andrea
50319822-7d77-4d68-8095-017cdbabbad2
Lang, Martin
4b5ae654-6a58-4c2c-a116-87161fcd533d
Pathak, Swapneel A.
210044c9-174a-4ff9-885b-0fc2e75bfdcb
Fangohr, Hans
9b7cfab9-d5dc-45dc-947c-2eba5c81a160

Holt, Samuel J.R., Petrocchi, Andrea, Lang, Martin, Pathak, Swapneel A. and Fangohr, Hans (2024) Discretization anisotropy in finite difference micromagnetic simulations. IEEE Transactions on Magnetics, 61 (11), [7200905]. (doi:10.1109/TMAG.2025.3604525).

Record type: Article

Abstract

Finite difference-based micromagnetic simulations are a powerful tool for the computational investigation of magnetic structures. In this article, we demonstrate how the discretization of continuous micromagnetic equations introduces a numerical “discretization anisotropy.” We demonstrate that, in certain scenarios, this anisotropy operates on an energy scale comparable to that of intrinsic physical phenomena. Furthermore, we illustrate that selecting appropriate finite difference stencils and minimizing the size of the discretization cells are effective strategies to mitigate the discretization anisotropy.

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Published date: 10 September 2024

Identifiers

Local EPrints ID: 507820
URI: http://eprints.soton.ac.uk/id/eprint/507820
ISSN: 0018-9464
PURE UUID: 2919fd6d-ff93-402d-ab73-22e3128ae117
ORCID for Martin Lang: ORCID iD orcid.org/0000-0001-7104-7867
ORCID for Hans Fangohr: ORCID iD orcid.org/0000-0001-5494-7193

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Date deposited: 06 Jan 2026 17:57
Last modified: 08 Jan 2026 02:37

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Contributors

Author: Samuel J.R. Holt
Author: Andrea Petrocchi
Author: Martin Lang ORCID iD
Author: Swapneel A. Pathak
Author: Hans Fangohr ORCID iD

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