On the Topological Derivative in Shape Optimization
SIAM Journal on Control and Optimization
Shapes and geometries: analysis, differential calculus, and optimization
Shapes and geometries: analysis, differential calculus, and optimization
The Topological Asymptotic for PDE Systems: The Elasticity Case
SIAM Journal on Control and Optimization
Optimality Conditions for Simultaneous Topology and Shape Optimization
SIAM Journal on Control and Optimization
Incorporating topological derivatives into level set methods
Journal of Computational Physics
A new algorithm for topology optimization using a level-set method
Journal of Computational Physics
Topological derivative: A tool for image processing
Computers and Structures
Multiphase Image Segmentation and Modulation Recovery Based on Shape and Topological Sensitivity
Journal of Mathematical Imaging and Vision
On a Kohn-Vogelius like formulation of free boundary problems
Computational Optimization and Applications
Hi-index | 31.45 |
The inverse electromagnetic casting problem consists in looking for a suitable set of electric wires such that the electromagnetic field induced by an alternating current passing through them makes a given mass of liquid metal acquire a predefined shape. In this paper we propose a new method for the topology design of such inductors. The inverse electromagnetic casting problem is formulated as an optimization problem, and topological derivatives are considered in order to locate new wires in the right position. Several numerical examples are presented showing that the proposed technique is effective to design suitable inductors.