Wautischer Gregor, Abert Claas, Bruckner Florian, Slanovc Florian, Suess Dieter
Faculty of Physics, University of Vienna, Vienna, Austria.
Research Platform MMM Mathematics-Magnetism-Materials, University of Vienna, Vienna, Austria.
Sci Rep. 2022 Jan 21;12(1):1119. doi: 10.1038/s41598-021-04246-z.
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.
一种用于优化硬磁和软磁结构拓扑的方法，采用密度法进行拓扑优化。杂散场计算通过有限元-边界元混合方法进行。利用伴随方法，可以非常高效地计算出进行优化所需的梯度。我们使用“先优化后离散”方案推导梯度。在该方案中，杂散场算子是自伴的，这使得可以用与杂散场计算相同的方法求解伴随方程。通过优化硬磁和软磁薄膜结构的拓扑来展示该方法的能力，并通过与解析解比较来验证结果。
