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

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 pe...

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Detalles Bibliográficos
Autores principales: Wautischer, Gregor, Abert, Claas, Bruckner, Florian, Slanovc, Florian, Suess, Dieter
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2022
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8782837/
https://www.ncbi.nlm.nih.gov/pubmed/35064136
http://dx.doi.org/10.1038/s41598-021-04246-z
Descripción
Sumario: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.