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Optimal Control of Elliptic Variational Inequalities

Journal Article · · Applied Mathematics and Optimization
DOI:https://doi.org/10.1007/S002459911017· OSTI ID:21067526
 [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)
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.
OSTI ID:
21067526
Journal Information:
Applied Mathematics and Optimization, Journal Name: Applied Mathematics and Optimization Journal Issue: 3 Vol. 41; ISSN 0095-4616
Country of Publication:
United States
Language:
English

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