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arXiv · 1801.06379

On optimal control of free boundary problems of obstacle type

Raino A. E. Mäkinen
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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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Raino A. E. Mäkinen. 2018-01-19. On optimal control of free boundary problems of obstacle type. https://arxiv.org/abs/1801.06379

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