Improvement of topology optimization method based on level set function in magnetic field problem

The purpose of this paper is the improvement of topology optimization. The scope of the paper is focused on the speedup of optimization.

To achieve the speedup, the method of moving asymptotes (MMA) with constrained condition of level set function is applied instead of solving the Hamilton–Jacobi equation.

The acceleration of convergence of objective function is drastically improved by the implementation of MMA.

Normally, the level set method is solved through the Hamilton–Jacobi equation. However, the possibility of introducing mathematical programming is clear by the constrained condition. Furthermore, the proposed method is suitable for efficiently solving the topology optimization problem in the magnetic field system.