On two numerical methods for state-constrained elliptic control problems
Please always quote using this URN:urn:nbn:de:0296-matheon-2520
- A linear-quadratic elliptic control problem with pointwise box constraints on the state is considered. The state-constraints are treated by a Lavrentiev type regularization. It is shown that the Lagrange multiplier associated with the regularized state-constraints are functions in L2. Moreover, the convergence of the regularized controls is proven for regularization parameter tending to zero. To solve the problem numerically, an interior point method and a primal-dual active set strategy are implemented and treated in function space.
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| Author: | Christian Meyer, Uwe Prüfert, Fredi Tröltzsch |
|---|---|
| URN: | urn:nbn:de:0296-matheon-2520 |
| Referee: | Jürgen Sprekels |
| Document Type: | Preprint, Research Center Matheon |
| Language: | English |
| Date of first Publication: | 2005/12/05 |
| Release Date: | 2005/04/27 |
| Preprint Number: | 243 |
