Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces:
Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in f...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Philadelphia, Pa.
Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104)
2011
|
| Schriftenreihe: | MOS-SIAM series on optimization
11 |
| Schlagworte: | |
| Online-Zugang: | TUM01 UBW01 UBY01 UER01 Volltext |
| Zusammenfassung: | Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods |
| Beschreibung: | 1 Online-Ressource (xiv, 308 Seiten) |
| ISBN: | 9781611970692 |
| DOI: | 10.1137/1.9781611970692 |
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Datensatz im Suchindex
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| id | DE-604.BV040289643 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T00:20:52Z |
| institution | BVB |
| isbn | 9781611970692 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-025144859 |
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| physical | 1 Online-Ressource (xiv, 308 Seiten) |
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| publishDate | 2011 |
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| publisher | Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) |
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| series | MOS-SIAM series on optimization |
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| spelling | Ulbrich, Michael 1967- (DE-588)132108941 aut Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces Michael Ulbrich Philadelphia, Pa. Society for Industrial and Applied Mathematics (SIAM, 3600 Market Street, Floor 6, Philadelphia, PA 19104) 2011 1 Online-Ressource (xiv, 308 Seiten) txt rdacontent c rdamedia cr rdacarrier MOS-SIAM series on optimization [11] Semismooth Newton methods are a modern class of remarkably powerful and versatile algorithms for solving constrained optimization problems with partial differential equations (PDEs), variational inequalities, and related problems. This book provides a comprehensive presentation of these methods in function spaces, striking a balance between thoroughly developed theory and numerical applications. Although largely self-contained, the book also covers recent developments in the field, such as state-constrained problems, and offers new material on topics such as improved mesh independence results. The theory and methods are applied to a range of practically important problems, including: optimal control of nonlinear elliptic differential equations, obstacle problems, and flow control of instationary Navier-Stokes fluids. In addition, the author covers adjoint-based derivative computation and the efficient solution of Newton systems by multigrid and preconditioned iterative methods Function spaces Constrained optimization Variational inequalities (Mathematics) Newton-Raphson method Funktionenraum (DE-588)4134834-5 gnd rswk-swf Variationsungleichung (DE-588)4187420-1 gnd rswk-swf Newton-Verfahren (DE-588)4171693-0 gnd rswk-swf Constraint-Programmierung (DE-588)4567206-4 gnd rswk-swf Nebenbedingung (DE-588)4140066-5 gnd rswk-swf Optimierung (DE-588)4043664-0 gnd rswk-swf Newton-Verfahren (DE-588)4171693-0 s Funktionenraum (DE-588)4134834-5 s Optimierung (DE-588)4043664-0 s Nebenbedingung (DE-588)4140066-5 s 1\p DE-604 Variationsungleichung (DE-588)4187420-1 s 2\p DE-604 Constraint-Programmierung (DE-588)4567206-4 s 3\p DE-604 Society for Industrial and Applied Mathematics Sonstige oth MOS-SIAM series on optimization 11 (DE-604)BV046333710 11 https://doi.org/10.1137/1.9781611970692 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ulbrich, Michael 1967- Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces MOS-SIAM series on optimization Function spaces Constrained optimization Variational inequalities (Mathematics) Newton-Raphson method Funktionenraum (DE-588)4134834-5 gnd Variationsungleichung (DE-588)4187420-1 gnd Newton-Verfahren (DE-588)4171693-0 gnd Constraint-Programmierung (DE-588)4567206-4 gnd Nebenbedingung (DE-588)4140066-5 gnd Optimierung (DE-588)4043664-0 gnd |
| subject_GND | (DE-588)4134834-5 (DE-588)4187420-1 (DE-588)4171693-0 (DE-588)4567206-4 (DE-588)4140066-5 (DE-588)4043664-0 |
| title | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces |
| title_auth | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces |
| title_exact_search | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces |
| title_full | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces Michael Ulbrich |
| title_fullStr | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces Michael Ulbrich |
| title_full_unstemmed | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces Michael Ulbrich |
| title_short | Semismooth Newton methods for variational inequalities and constrained optimization problems in function spaces |
| title_sort | semismooth newton methods for variational inequalities and constrained optimization problems in function spaces |
| topic | Function spaces Constrained optimization Variational inequalities (Mathematics) Newton-Raphson method Funktionenraum (DE-588)4134834-5 gnd Variationsungleichung (DE-588)4187420-1 gnd Newton-Verfahren (DE-588)4171693-0 gnd Constraint-Programmierung (DE-588)4567206-4 gnd Nebenbedingung (DE-588)4140066-5 gnd Optimierung (DE-588)4043664-0 gnd |
| topic_facet | Function spaces Constrained optimization Variational inequalities (Mathematics) Newton-Raphson method Funktionenraum Variationsungleichung Newton-Verfahren Constraint-Programmierung Nebenbedingung Optimierung |
| url | https://doi.org/10.1137/1.9781611970692 |
| volume_link | (DE-604)BV046333710 |
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