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Reaction–diffusion equation-based topology optimization code for electromagnetic wave problems using FreeFEM++
Structural and Multidisciplinary Optimization ( IF 3.6 ) Pub Date : 2021-08-26 , DOI: 10.1007/s00158-021-03032-9
Mingook Jung 1 , Minkyu Oh 1 , Jeonghoon Yoo 2
Affiliation  

In this paper, we present a structural topology optimization code for two-dimensional electromagnetic wave problems in the context of polarized electric field driven by the wave equation in the frequency domain for microwave range. The optimization process follows a phase field design approach, which is based on the reaction–diffusion equation combined with the double well potentials. In addition, a modified adaptive gradient algorithm is introduced for better performance and faster convergence rate. The salient features of the code are elaborated for the educational purpose; especially focused on the derivation of weak form in the finite element analysis for physical behavior simulation and the update of design variables. The corresponding code is written in the open-source software FreeFEM++, and it can be downloaded from the website http://ssd.yonsei.ac.kr.



中文翻译:

使用 FreeFEM++ 解决电磁波问题的基于反应-扩散方程的拓扑优化代码

在本文中,我们提出了在由微波范围内频域波动方程驱动的极化电场背景下二维电磁波问题的结构拓扑优化代码。优化过程遵循相场设计方法,该方法基于反应扩散方程与双阱电位相结合。此外,引入了改进的自适应梯度算法以获得更好的性能和更快的收敛速度。为教育目的详细阐述了守则的显着特点;特别关注物理行为模拟有限元分析中弱形式的推导和设计变量的更新。相应的代码是用开源软件FreeFEM++编写的,可以从网站http://ssd下载。

更新日期:2021-08-26
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