Optimal control of a quasi-variational obstacle problem
نویسندگان
چکیده
منابع مشابه
Optimal control of a quasi-variational obstacle problem
We consider an optimal control where the state-control relation is given by a quasivariational inequality, namely a generalized obstacle problem. We give an existence result for solutions to such a problem. The main tool is a stability result, based on the Mosco-convergence theory, that gives the weak closeness of the control-to-state operator. We end the paper with some examples.
متن کاملOptimal Control of the Obstacle for a Parabolic Variational Inequality
Abstract. An optimal control problem for a parabolic obstacle variational inequality is considered. The obstacle in L 0; T ;H( ) \H 0 ( ) with t 2 L (Q) is taken as the control, and the solution to the obstacle problem taken as the state. The goal is to nd the optimal control so that the state is close to the desired pro le while the norm of the obstacle is not too large. Existence and necessar...
متن کاملAdaptive Optimal Control of the Obstacle Problem
The article is concerned with the derivation of a posteriori error estimates for optimization problems subject to an obstacle problem. To circumvent the nondifferentiability inherent to this type of problem, we introduce a sequence of penalized but differentiable problem. We show differentiability of the central path and derive separate a posteriori dual weighted residual estimates for the erro...
متن کاملAn optimal control problem governed by implicit evolution quasi-variational inequalities
This paper deals with an optimal control problem associated to an evolution implicit quasi-variational inequality for elastic materials. Such problems describe the quasi-static process of bilateral contact with friction between an elastic body and a rigid foundation. Existence of an optimal control is proven and necessary optimality conditions are derived.
متن کاملA Quasi-variational Inequality Problem in Superconductivity
We derive a class of analytical solutions and a dual formulation of a scalar two-space-dimensional quasi-variational inequality problem in applied superconductivity. We approximate this formulation by a fully practical ̄nite element method based on the lowest order Raviart Thomas element, which yields approximations to both the primal and dual variables (the magnetic and electric ̄elds). We prove...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Global Optimization
سال: 2008
ISSN: 0925-5001,1573-2916
DOI: 10.1007/s10898-008-9366-y