Displaying similar documents to “Approximation of Optimal Distributed Control Problems Governed by Variational Inequalities.”

Convergence analysis of smoothing methods for optimal control of stationary variational inequalities with control constraints

Anton Schiela, Daniel Wachsmuth (2013)

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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In the article an optimal control problem subject to a stationary variational inequality is investigated. The optimal control problem is complemented with pointwise control constraints. The convergence of a smoothing scheme is analyzed. There, the variational inequality is replaced by a semilinear elliptic equation. It is shown that solutions of the regularized optimal control problem converge to solutions of the original one. Passing to the limit in the optimality system of the regularized...

The global control of nonlinear partial differential equations and variational inequalities.

J. E. Rubio (1992)

Extracta Mathematicae

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We study in this note the control of nonlinear diffusion equation and of parabolic variational inequalities by means of an approach which has been proved useful in the analysis of the control of nonlinear ordinary differential equations ([3]) and linear partial differential equations ([2] and [3]). It is based on an idea of Young [7], consisting in the replacement of classical variational problems by problems in measure spaces; its extension to optimal control problems, and the realization...