# 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:

- Department of Mathematics, North Carolina State University, Raleigh, NC 27695 (United States)
- 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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.