What question did this study set out to answer?

The aim is to develop a multi-objective topology optimization method incorporating a regularization term.

March 26, 2026Open Access

Evolutional Multi-objective Topology Optimization Considering Regularization Term

Key Points

The aim is to develop a multi-objective topology optimization method incorporating a regularization term.
Introduced a multi-objective formulation for topology optimization.
1 optimization run is used to obtain various resultant shapes.
Applied the method to a magnetic shield design problem.
Demonstrated the effectiveness of the multi-objective optimization.
Obtained multiple shapes without needing to set a regularization coefficient.

Abstract

In this work, multi-objective formulation for evolutional topology optimization is introduced considering an objective function and regularization term. This formulation makes it possible to obtain various resultant shapes in one optimization run without setting appropriate regularization coefficient. The method is applied to a magnetic shield design problem. The effect of multi-objective optimization is discussed.

Evolutional Multi-objective Topology Optimization Considering Regularization Term

Key Points

Abstract

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