On projection methods, convergence and robust formulations in topology optimization
Structural and Multidisciplinary Optimization
Structural and Multidisciplinary Optimization
A 2D model for shape optimization of solid oxide fuel cell cathodes
Structural and Multidisciplinary Optimization
Topology optimization for fluid---thermal interaction problems under constant input power
Structural and Multidisciplinary Optimization
Combination of topology optimization and optimal control method
Journal of Computational Physics
Structural and Multidisciplinary Optimization
Level-set methods for structural topology optimization: a review
Structural and Multidisciplinary Optimization
A survey of structural and multidisciplinary continuum topology optimization: post 2000
Structural and Multidisciplinary Optimization
Thermal-composite design optimization for heat flux shielding, focusing, and reversal
Structural and Multidisciplinary Optimization
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This paper deals with topology optimization based on the Heaviside projection method using a scalar function as design variables. The scalar function is then regularized by a PDE based filter. Several image-processing based filtering techniques have so far been proposed for regularization or restricting the minimum length scale. They are conventionally applied to the design sensitivities rather than the design variables themselves. However, it causes discrepancies between the filtered sensitivities and the actual sensitivities that may confuse the optimization process and disturb the convergence. In this paper, we propose a Heaviside projection based topology optimization method with a scalar function that is filtered by a Helmholtz type partial differential equation. Therefore, the optimality can be strictly discussed in terms of the KKT condition. In order to demonstrate the effectiveness of the proposed method, a minimum compliance problem is solved.