Solving Large-Scale Inverse Magnetostatic Problems using the Adjoint Method

TL;DR

This paper introduces an efficient adjoint-based algorithm for large-scale inverse magnetostatic problems, leveraging hybrid FEM-BEM coupling and matrix compression to accurately reconstruct magnetization states in magnetic components.

Contribution

It presents a novel adjoint method combined with hybrid FEM-BEM and matrix compression techniques for scalable inverse magnetostatic problem solving.

Findings

Effective reconstruction of magnetization in permanent magnets.

Algorithm suitable for large-scale problems due to hybrid coupling and compression.

Demonstrated accuracy and efficiency in practical magnetic component analysis.

Abstract

An efficient algorithm for the reconstruction of the magnetization state within magnetic components is presented. The occurring inverse magnetostatic problem is solved by means of an adjoint approach, based on the Fredkin-Koehler method for the solution of the forward problem. Due to the use of hybrid FEM-BEM coupling combined with matrix compression techniques the resulting algorithm is well suited for large-scale problems. Furthermore the reconstruction of the magnetization state within a permanent magnet is demonstrated.