A topology optimization algorithm for magnetic structures based on a hybrid FEM-BEM method utilizing the adjoint approach

Author(s)
Gregor Wautischer, Claas Abert, Florian Bruckner, Florian Slanovc, Dieter Suess
Abstract

A method to optimize the topology of hard as well as soft magnetic structures is implemented using the density approach for topology optimization. The stray field computation is performed by a hybrid finite element-boundary element method. Utilizing the adjoint approach the gradients necessary to perform the optimization can be calculated very efficiently. We derive the gradients using a "first optimize then discretize" scheme. Within this scheme, the stray field operator is self-adjoint allowing to solve the adjoint equation by the same means as the stray field calculation. The capabilities of the method are showcased by optimizing the topology of hard as well as soft magnetic thin film structures and the results are verified by comparison with an analytical solution.

Organisation(s)
Physics of Functional Materials, Research Platform MMM Mathematics-Magnetism-Materials, Computational and Soft Matter Physics
Journal
Scientific Reports
Volume
12
Pages
1119
No. of pages
11
ISSN
2045-2322
DOI
https://doi.org/10.1038/s41598-021-04246-z
Publication date
12-2022
Peer reviewed
Yes
Austrian Fields of Science 2012
101014 Numerical mathematics, 103018 Materials physics
ASJC Scopus subject areas
General
Portal url
https://ucris.univie.ac.at/portal/en/publications/a-topology-optimization-algorithm-for-magnetic-structures-based-on-a-hybrid-fembem-method-utilizing-the-adjoint-approach(0a7a2e82-374e-4e15-aa32-9aa776dd3336).html