A control reduced primal interior point method for PDE constrained optimization:
Abstract: "A primal interior point method for control constrained optimal control problems with PDE constraints is considered. Pointwise elimination of the control leads to a homotopy in the remaining state and dual variables, which is addressed by a short step pathfollowing method. The algorit...
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| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | German |
| Published: |
Berlin
Konrad-Zuse-Zentrum für Informationstechnik
2004
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| Series: | ZIB-Report
2004,38 |
| Subjects: | |
| Summary: | Abstract: "A primal interior point method for control constrained optimal control problems with PDE constraints is considered. Pointwise elimination of the control leads to a homotopy in the remaining state and dual variables, which is addressed by a short step pathfollowing method. The algorithm is applied to the continuous, infinite dimensional problem, where discretization is performed only in the innermost loop when solving linear equations. The a priori elimination of the least regular control permits to obtain the required accuracy with comparatively coarse meshes. Convergence of the method and discretization errors are studied, and the method is illustrated at two numerical examples." |
| Physical Description: | 17 S. graph. Darst. |
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| 520 | 3 | |a Abstract: "A primal interior point method for control constrained optimal control problems with PDE constraints is considered. Pointwise elimination of the control leads to a homotopy in the remaining state and dual variables, which is addressed by a short step pathfollowing method. The algorithm is applied to the continuous, infinite dimensional problem, where discretization is performed only in the innermost loop when solving linear equations. The a priori elimination of the least regular control permits to obtain the required accuracy with comparatively coarse meshes. Convergence of the method and discretization errors are studied, and the method is illustrated at two numerical examples." | |
| 650 | 4 | |a Control theory | |
| 650 | 4 | |a Finite element method | |
| 650 | 4 | |a Mathematical optimization | |
| 700 | 1 | |a Gänzler, Tobias |e Verfasser |4 aut | |
| 700 | 1 | |a Schiela, Anton |d 1975- |e Verfasser |0 (DE-588)124835198 |4 aut | |
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| id | DE-604.BV019441131 |
| illustrated | Illustrated |
| indexdate | 2025-01-10T17:06:53Z |
| institution | BVB |
| language | German |
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| oclc_num | 60248902 |
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| owner_facet | DE-703 DE-188 |
| physical | 17 S. graph. Darst. |
| publishDate | 2004 |
| publishDateSearch | 2004 |
| publishDateSort | 2004 |
| publisher | Konrad-Zuse-Zentrum für Informationstechnik |
| record_format | marc |
| series | ZIB-Report |
| series2 | ZIB-Report |
| spelling | Weiser, Martin 1970- Verfasser (DE-588)123252040 aut A control reduced primal interior point method for PDE constrained optimization Martin Weiser ; Tobias Gänzler ; Anton Schiela Berlin Konrad-Zuse-Zentrum für Informationstechnik 2004 17 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier ZIB-Report 2004,38 Abstract: "A primal interior point method for control constrained optimal control problems with PDE constraints is considered. Pointwise elimination of the control leads to a homotopy in the remaining state and dual variables, which is addressed by a short step pathfollowing method. The algorithm is applied to the continuous, infinite dimensional problem, where discretization is performed only in the innermost loop when solving linear equations. The a priori elimination of the least regular control permits to obtain the required accuracy with comparatively coarse meshes. Convergence of the method and discretization errors are studied, and the method is illustrated at two numerical examples." Control theory Finite element method Mathematical optimization Gänzler, Tobias Verfasser aut Schiela, Anton 1975- Verfasser (DE-588)124835198 aut ZIB-Report 2004,38 (DE-604)BV013191727 2004,38 |
| spellingShingle | Weiser, Martin 1970- Gänzler, Tobias Schiela, Anton 1975- A control reduced primal interior point method for PDE constrained optimization ZIB-Report Control theory Finite element method Mathematical optimization |
| title | A control reduced primal interior point method for PDE constrained optimization |
| title_auth | A control reduced primal interior point method for PDE constrained optimization |
| title_exact_search | A control reduced primal interior point method for PDE constrained optimization |
| title_full | A control reduced primal interior point method for PDE constrained optimization Martin Weiser ; Tobias Gänzler ; Anton Schiela |
| title_fullStr | A control reduced primal interior point method for PDE constrained optimization Martin Weiser ; Tobias Gänzler ; Anton Schiela |
| title_full_unstemmed | A control reduced primal interior point method for PDE constrained optimization Martin Weiser ; Tobias Gänzler ; Anton Schiela |
| title_short | A control reduced primal interior point method for PDE constrained optimization |
| title_sort | a control reduced primal interior point method for pde constrained optimization |
| topic | Control theory Finite element method Mathematical optimization |
| topic_facet | Control theory Finite element method Mathematical optimization |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT weisermartin acontrolreducedprimalinteriorpointmethodforpdeconstrainedoptimization AT ganzlertobias acontrolreducedprimalinteriorpointmethodforpdeconstrainedoptimization AT schielaanton acontrolreducedprimalinteriorpointmethodforpdeconstrainedoptimization |