A fast finite-difference algorithm for topology optimization of permanent magnets

TL;DR

This paper introduces a fast finite-difference algorithm utilizing FFT for topology optimization of permanent magnets, offering improved performance and accuracy over existing finite-element methods.

Contribution

The paper presents a novel finite-difference approach with FFT acceleration for topology optimization of permanent magnets, enhancing speed, accuracy, and implementation simplicity.

Findings

Superior performance compared to finite-element methods

High accuracy in stray-field computation

Flexible and easy to implement

Abstract

We present a finite-difference method for the topology optimization of permanent magnets that is based on the FFT accelerated computation of the stray-field. The presented method employs the density approach for topology optimization and uses an adjoint method for the gradient computation. Comparsion to various state-of-the-art finite-element implementations shows a superior performance and accuracy. Moreover, the presented method is very flexible and easy to implement due to various preexisting FFT stray-field implementations that can be used.