Function space interior point methods for PDE constrained optimization
Please always quote using this URN: urn:nbn:de:0297-zib-8027
- A primal-dual interior point method for optimal control problems with PDE constraints is considered. The algorithm is directly applied to the infinite dimensional problem. Existence and convergence of the central path are analyzed. Numerical results from an inexact continuation method applied to a model problem are shown.
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| Author: | Martin WeiserORCiD, Anton Schiela |
|---|---|
| Document Type: | ZIB-Report |
| Tag: | complementarity functions; interior point methods in function space; optimal control |
| MSC-Classification: | 49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Mxx Numerical methods [See also 90Cxx, 65Kxx] / 49M15 Newton-type methods |
| 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C48 Programming in abstract spaces | |
| 90-XX OPERATIONS RESEARCH, MATHEMATICAL PROGRAMMING / 90Cxx Mathematical programming [See also 49Mxx, 65Kxx] / 90C51 Interior-point methods | |
| Date of first Publication: | 2004/06/24 |
| Series (Serial Number): | ZIB-Report (04-27) |
| ZIB-Reportnumber: | 04-27 |
| Published in: | Appeared in : PAMM 4 (1) 43-46 (2004) |
