On optimal control of free boundary problems of obstacle type

2018/01/19 by Mäkinen, Raino A. E.
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.1801.06379

Abstract

A numerical study of an optimal control formulation for a shape optimization problem governed by an elliptic variational inequality is performed. The shape optimization problem is reformulated as a boundary control problem in a fixed domain. The discretized optimal control problem is a non-smooth and non-convex mathematical programing problem. The performance of the standard BFGS quasi-Newton method and the BFGS method with the inexact line search are tested.

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