Topology Optimization in Electromagnetic Casting via quadratic programming - Archive ouverte HAL
Preprints, Working Papers, ... Year : 2012

Topology Optimization in Electromagnetic Casting via quadratic programming

Abstract

A new optimization method is proposed for solving an inverse problem concerning the shape and topology of the inductors used in the electromagnetic casting technique of the metallur- gical industry. The method is based on an sparse convex quadratic programming version of a recently proposed topology optimization formulation of the inverse electromagnetic casting problem. Regular 0{1 solutions are found by adding to the original Kohn-Vogelius objective function an appropriate penalty term that preserves the quadratic programming structure of the problem, allowing the use of efficient interior-point algorithms. Results for some numerical examples are presented, showing that the technique proposed is e ective and can successfully nd inductors of optimal shape and topology.
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Dates and versions

hal-00758806 , version 1 (29-11-2012)

Identifiers

  • HAL Id : hal-00758806 , version 1

Cite

Alfredo Canelas, Jean Rodolphe Roche. Topology Optimization in Electromagnetic Casting via quadratic programming. 2012. ⟨hal-00758806⟩
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