Optimal Shape Design for Elliptic Systems:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Berlin, Heidelberg
Springer Berlin Heidelberg
1984
|
| Schriftenreihe: | Springer Series in Computational Physics
|
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-3-642-87722-3 |
| Beschreibung: | The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function. There are many problems of this type in high-technology industries. In fact, most numerical simulations of physical systems are solved not to gain better understanding of the phenomena but to obtain better control and design. Problems of this type are described in Chapter 2. Traditionally, optimal shape design has been treated as a branch of the calculus of variations and more specifically of optimal control. This subject interfaces with no less than four fields: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject. Each of these fields is reviewed briefly: PDEs (Chapter 1), optimization (Chapter 4), optimal control (Chapter 5), and numerical methods (Chapters 1 and 4) |
| Umfang: | 1 Online-Ressource |
| ISBN: | 9783642877223 9783642877247 |
| ISSN: | 1434-8322 |
| DOI: | 10.1007/978-3-642-87722-3 |
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| 500 | |a The study of optimal shape design can be arrived at by asking the following question: "What is the best shape for a physical system?" This book is an applications-oriented study of such physical systems; in particular, those which can be described by an elliptic partial differential equation and where the shape is found by the minimum of a single criterion function. There are many problems of this type in high-technology industries. In fact, most numerical simulations of physical systems are solved not to gain better understanding of the phenomena but to obtain better control and design. Problems of this type are described in Chapter 2. Traditionally, optimal shape design has been treated as a branch of the calculus of variations and more specifically of optimal control. This subject interfaces with no less than four fields: optimization, optimal control, partial differential equations (PDEs), and their numerical solutions-this is the most difficult aspect of the subject. Each of these fields is reviewed briefly: PDEs (Chapter 1), optimization (Chapter 4), optimal control (Chapter 5), and numerical methods (Chapters 1 and 4) | ||
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Datensatz im Suchindex
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| id | DE-604.BV042413997 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:30Z |
| institution | BVB |
| isbn | 9783642877223 9783642877247 |
| issn | 1434-8322 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027849490 |
| oclc_num | 864003243 |
| open_access_boolean | |
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| owner_facet | DE-91 DE-BY-TUM DE-83 |
| physical | 1 Online-Ressource |
| psigel | ZDB-2-PHA ZDB-2-BAE ZDB-2-PHA_Archive |
| publishDate | 1984 |
| publishDateSearch | 1984 |
| publishDateSort | 1984 |
| publisher | Springer Berlin Heidelberg |
| record_format | marc |
| series2 | Springer Series in Computational Physics |
| spellingShingle | Pironneau, Olivier Optimal Shape Design for Elliptic Systems Physics Numerical analysis Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Numerical Analysis Mathematische Physik Elliptisches System (DE-588)4121184-4 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Optimierung (DE-588)4043664-0 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| subject_GND | (DE-588)4121184-4 (DE-588)4014485-9 (DE-588)4043664-0 (DE-588)4329076-0 |
| title | Optimal Shape Design for Elliptic Systems |
| title_auth | Optimal Shape Design for Elliptic Systems |
| title_exact_search | Optimal Shape Design for Elliptic Systems |
| title_full | Optimal Shape Design for Elliptic Systems by Olivier Pironneau |
| title_fullStr | Optimal Shape Design for Elliptic Systems by Olivier Pironneau |
| title_full_unstemmed | Optimal Shape Design for Elliptic Systems by Olivier Pironneau |
| title_short | Optimal Shape Design for Elliptic Systems |
| title_sort | optimal shape design for elliptic systems |
| topic | Physics Numerical analysis Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Numerical Analysis Mathematische Physik Elliptisches System (DE-588)4121184-4 gnd Elliptische Differentialgleichung (DE-588)4014485-9 gnd Optimierung (DE-588)4043664-0 gnd Gestaltoptimierung (DE-588)4329076-0 gnd |
| topic_facet | Physics Numerical analysis Mathematical physics Fluid- and Aerodynamics Mathematical Methods in Physics Numerical and Computational Physics Numerical Analysis Mathematische Physik Elliptisches System Elliptische Differentialgleichung Optimierung Gestaltoptimierung |
| url | https://doi.org/10.1007/978-3-642-87722-3 |
| work_keys_str_mv | AT pironneauolivier optimalshapedesignforellipticsystems |