Towards Micromagnetic Modelling on Unstructured Meshes

Emil Blaabjerg Poulsen

Research output: Book/ReportPh.D. thesis

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Abstract

Micromagnetism is the most widely used theory to predict the behaviour of magnetic materials in equilibrium as well as magnetization dynamics. Analytical solutions are undiscovered for all but the simplest cases. In all other circumstances, one must compute solutions numerically. Numerical solution frameworks are roughly speaking divided into finite difference solvers that require homogeneous simulation meshes and finite element solvers that require external simulation volumes to converge and are generally slower.

The aim of this thesis is to produce a finite difference-like micromagnetic solver that is applicable to heterogeneous meshes but retains the speed of true finite difference solvers. In the last three decades, a multitude of micromagnetic solvers have been developed, reflecting both a deep need in magnetism for numerical investigations and an increase in the capabilities of modern computers to make those investigations possible and widespread.

The focus of this work is the development and expansion of the micromagnetic framework MagTense for investigating permanent magnets, but all of the theory is equally applicable to soft magnetic materials and other micromagnetic solvers, should they wish to implement similar approaches, making the findings detailed here useful not just to users of our framework, but to micromagnetics as a whole.
Original languageEnglish
Place of PublicationKgs. Lyngby
PublisherTechnical University of Denmark
Number of pages97
Publication statusPublished - 2022

Bibliographical note

This work was supported by the Poul Due Jensen Foundation project on Browns paradox in permanent magnets, Project 2018-016.

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