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Solving Large-Scale Inverse Magnetostatic Problems using the Adjoint Method.

Florian Bruckner1, Claas Abert1, Gregor Wautischer1

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Summary
This summary is machine-generated.

This study presents an efficient algorithm to reconstruct magnetization states in magnetic components. The method effectively solves inverse magnetostatic problems for large-scale applications.

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Area of Science:

  • Computational electromagnetics
  • Materials science

Background:

  • Accurate reconstruction of magnetization states is crucial for understanding and designing magnetic components.
  • Existing methods for solving inverse magnetostatic problems can be computationally intensive, limiting their application to large-scale systems.

Purpose of the Study:

  • To develop an efficient and scalable algorithm for reconstructing magnetization states in magnetic components.
  • To address the challenges posed by large-scale inverse magnetostatic problems.

Main Methods:

  • An adjoint approach is employed to solve the inverse magnetostatic problem.
  • The forward problem is addressed using the Fredkin-Koehler method.
  • Hybrid Finite Element Method (FEM) and Boundary Element Method (BEM) coupling is combined with matrix compression techniques for efficiency.

Main Results:

  • The developed algorithm demonstrates efficiency in reconstructing magnetization states.
  • The method is well-suited for large-scale problems due to the hybrid FEM-BEM coupling and matrix compression.
  • Successful demonstration of magnetization reconstruction in a permanent magnet and an optimal design application.

Conclusions:

  • The proposed algorithm provides an efficient solution for the inverse magnetostatic problem.
  • The technique is scalable and applicable to complex, large-scale magnetic component analysis and design.