A continuity result for Nemyckii operators and some applications in PDE constrained optimal control:
Abstract: "This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semi-smooth Nemyckii operators. A co...
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Buch |
| Sprache: | English |
| Veröffentlicht: |
Berlin
Konrad-Zuse-Zentrum für Informationszentrum
2006
|
| Schriftenreihe: | ZIB-Report
2006,41 |
| Schlagworte: | |
| Zusammenfassung: | Abstract: "This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semi-smooth Nemyckii operators. A concise proof for superlinear convergence is presented, and sharpened bounds on the rate of convergence are derived. Second, we derive second order sufficient conditions for problems, where the underlying PDE has poor regularity properties. We point out that the analytical structure in both topics is essentially the same." |
| Beschreibung: | 17 S. |
Internformat
MARC
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| 035 | |a (DE-599)BVBBV022246045 | ||
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| 082 | 0 | |a 515.642 |2 22/ger | |
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| 100 | 1 | |a Schiela, Anton |d 1975- |e Verfasser |0 (DE-588)124835198 |4 aut | |
| 245 | 1 | 0 | |a A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |c Anton Schiela |
| 264 | 1 | |a Berlin |b Konrad-Zuse-Zentrum für Informationszentrum |c 2006 | |
| 300 | |a 17 S. | ||
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| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a ZIB-Report |v 2006,41 | |
| 520 | 3 | |a Abstract: "This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semi-smooth Nemyckii operators. A concise proof for superlinear convergence is presented, and sharpened bounds on the rate of convergence are derived. Second, we derive second order sufficient conditions for problems, where the underlying PDE has poor regularity properties. We point out that the analytical structure in both topics is essentially the same." | |
| 650 | 4 | |a Differential equations, Partial | |
| 650 | 4 | |a Newton-Raphson method | |
| 830 | 0 | |a ZIB-Report |v 2006,41 |w (DE-604)BV013191727 |9 2006,41 | |
| 999 | |a oai:aleph.bib-bvb.de:BVB01-015456909 | ||
Datensatz im Suchindex
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| author | Schiela, Anton 1975- |
| author_GND | (DE-588)124835198 |
| author_facet | Schiela, Anton 1975- |
| author_role | aut |
| author_sort | Schiela, Anton 1975- |
| author_variant | a s as |
| building | Verbundindex |
| bvnumber | BV022246045 |
| ctrlnum | (OCoLC)122704503 (DE-599)BVBBV022246045 |
| dewey-full | 515.642 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.642 |
| dewey-search | 515.642 |
| dewey-sort | 3515.642 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| discipline_str_mv | Mathematik |
| format | Book |
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| id | DE-604.BV022246045 |
| illustrated | Not Illustrated |
| index_date | 2024-07-02T16:37:41Z |
| indexdate | 2024-07-09T20:53:15Z |
| institution | BVB |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-015456909 |
| oclc_num | 122704503 |
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| owner_facet | DE-703 DE-188 |
| physical | 17 S. |
| publishDate | 2006 |
| publishDateSearch | 2006 |
| publishDateSort | 2006 |
| publisher | Konrad-Zuse-Zentrum für Informationszentrum |
| record_format | marc |
| series | ZIB-Report |
| series2 | ZIB-Report |
| spelling | Schiela, Anton 1975- Verfasser (DE-588)124835198 aut A continuity result for Nemyckii operators and some applications in PDE constrained optimal control Anton Schiela Berlin Konrad-Zuse-Zentrum für Informationszentrum 2006 17 S. txt rdacontent n rdamedia nc rdacarrier ZIB-Report 2006,41 Abstract: "This work explores two applications of a classical result on the continuity of Nemyckii operators to optimal control with PDEs. First, we present an alternative approach to the analysis of Newton's method for function space problems involving semi-smooth Nemyckii operators. A concise proof for superlinear convergence is presented, and sharpened bounds on the rate of convergence are derived. Second, we derive second order sufficient conditions for problems, where the underlying PDE has poor regularity properties. We point out that the analytical structure in both topics is essentially the same." Differential equations, Partial Newton-Raphson method ZIB-Report 2006,41 (DE-604)BV013191727 2006,41 |
| spellingShingle | Schiela, Anton 1975- A continuity result for Nemyckii operators and some applications in PDE constrained optimal control ZIB-Report Differential equations, Partial Newton-Raphson method |
| title | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |
| title_auth | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |
| title_exact_search | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |
| title_exact_search_txtP | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |
| title_full | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control Anton Schiela |
| title_fullStr | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control Anton Schiela |
| title_full_unstemmed | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control Anton Schiela |
| title_short | A continuity result for Nemyckii operators and some applications in PDE constrained optimal control |
| title_sort | a continuity result for nemyckii operators and some applications in pde constrained optimal control |
| topic | Differential equations, Partial Newton-Raphson method |
| topic_facet | Differential equations, Partial Newton-Raphson method |
| volume_link | (DE-604)BV013191727 |
| work_keys_str_mv | AT schielaanton acontinuityresultfornemyckiioperatorsandsomeapplicationsinpdeconstrainedoptimalcontrol |