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Title: Optimal Control of Elliptic Variational Inequalities

Abstract

Optimality systems for optimal control problems governed by elliptic variational inequalities are derived. Existence of appropriately defined Lagrange multipliers is proved. A primal-dual active set method is proposed to solve the optimality systems numerically. Examples with and without lack of strict complementarity are included.

Authors:
 [1];  [2]
  1. Department of Mathematics, North Carolina State University, Raleigh, NC 27695 (United States)
  2. Institut fuer Mathematik, Karl-Franzens-Universitaet Graz, A-8010 Graz (Austria)
Publication Date:
OSTI Identifier:
21067526
Resource Type:
Journal Article
Journal Name:
Applied Mathematics and Optimization
Additional Journal Information:
Journal Volume: 41; Journal Issue: 3; Other Information: DOI: 10.1007/s002459911017; Copyright (c) 2000 Springer-Verlag New York Inc.; Article Copyright (c) Inc. 2000 Springer-Verlag New York; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0095-4616
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; OPTIMAL CONTROL; SET THEORY; VARIATIONAL METHODS

Citation Formats

Ito, K., and Kunisch, K. Optimal Control of Elliptic Variational Inequalities. United States: N. p., 2000. Web. doi:10.1007/S002459911017.
Ito, K., & Kunisch, K. Optimal Control of Elliptic Variational Inequalities. United States. doi:10.1007/S002459911017.
Ito, K., and Kunisch, K. Mon . "Optimal Control of Elliptic Variational Inequalities". United States. doi:10.1007/S002459911017.
@article{osti_21067526,
title = {Optimal Control of Elliptic Variational Inequalities},
author = {Ito, K. and Kunisch, K.},
abstractNote = {Optimality systems for optimal control problems governed by elliptic variational inequalities are derived. Existence of appropriately defined Lagrange multipliers is proved. A primal-dual active set method is proposed to solve the optimality systems numerically. Examples with and without lack of strict complementarity are included.},
doi = {10.1007/S002459911017},
journal = {Applied Mathematics and Optimization},
issn = {0095-4616},
number = 3,
volume = 41,
place = {United States},
year = {2000},
month = {5}
}