6533b825fe1ef96bd1283309

RESEARCH PRODUCT

On optimal control of free boundary problems of obstacle type

Raino A. E. M��kinen

subject

Optimization and Control (math.OC)FOS: MathematicsMathematicsofComputing_NUMERICALANALYSISMathematics - Optimization and Control

description

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.

http://arxiv.org/abs/1801.06379