Separated representations and PGD-based model reduction: fundamentals and applications
Gespeichert in:
| Weitere Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Wien [u.a.]
Springer
2014
|
| Schriftenreihe: | Cources and lectures / International Centre for Mechanical Sciences
554 |
| Schlagworte: | |
| Online-Zugang: | BTU01 FHA01 FHI01 FHN01 FHR01 FKE01 FRO01 FWS01 FWS02 UBY01 Volltext Inhaltsverzeichnis Abstract |
| Beschreibung: | 1 Online-Ressource |
| ISBN: | 9783709117941 |
| DOI: | 10.1007/978-3-7091-1794-1 |
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Datensatz im Suchindex
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| adam_text | SEPARATED REPRESENTATIONS AND PGD-BASED MODEL REDUCTION
/
: 2014
TABLE OF CONTENTS / INHALTSVERZEICHNIS
FROM THE CONTENTS: MODEL ORDER REDUCTION BASED ON PROPER ORTHOGONAL
DECOMPOSITION: MODEL REDUCTION: EXTRACTING RELEVANT INFORMATION
INTERPOLATION OF REDUCED BASIS: A GEOMETRICAL APPROACH
POD FOR NON-LINEAR MODELS
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
SEPARATED REPRESENTATIONS AND PGD-BASED MODEL REDUCTION
/
: 2014
ABSTRACT / INHALTSTEXT
THE PAPERS IN THIS VOLUME START WITH A DESCRIPTION OF THE CONSTRUCTION
OF REDUCED MODELS THROUGH A REVIEW OF PROPER ORTHOGONAL DECOMPOSITION
(POD) AND REDUCED BASIS MODELS, INCLUDING THEIR MATHEMATICAL FOUNDATIONS
AND SOME CHALLENGING APPLICATIONS, THEN FOLLOWED BY A DESCRIPTION OF A
NEW GENERATION OF SIMULATION STRATEGIES BASED ON THE USE OF SEPARATED
REPRESENTATIONS (SPACE-PARAMETERS, SPACE-TIME, SPACE-TIME-PARAMETERS,
SPACE-SPACE,…), WHICH HAVE LED TO WHAT IS KNOWN AS PROPER GENERALIZED
DECOMPOSITION (PGD) TECHNIQUES. THE MODELS CAN BE ENRICHED BY TREATING
PARAMETERS AS ADDITIONAL COORDINATES, LEADING TO FAST AND INEXPENSIVE
ONLINE CALCULATIONS BASED ON RICHER OFFLINE PARAMETRIC SOLUTIONS.
SEPARATED REPRESENTATIONS ARE ANALYZED IN DETAIL IN THE COURSE, FROM
THEIR MATHEMATICAL FOUNDATIONS TO THEIR MOST SPECTACULAR APPLICATIONS.
IT IS ALSO SHOWN HOW SUCH AN APPROXIMATION COULD EVOLVE INTO A NEW
PARADIGM IN COMPUTATIONAL SCIENCE, ENABLING ONE TO CIRCUMVENT VARIOUS
COMPUTATIONAL ISSUES IN A VAST ARRAY OF APPLICATIONS IN ENGINEERING
SCIENCE
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
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| institution | BVB |
| isbn | 9783709117941 |
| language | English |
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| spellingShingle | Separated representations and PGD-based model reduction fundamentals and applications Informatik Ingenieurwissenschaften Computer aided design Computer science Mechanics, applied Engineering |
| title | Separated representations and PGD-based model reduction fundamentals and applications |
| title_auth | Separated representations and PGD-based model reduction fundamentals and applications |
| title_exact_search | Separated representations and PGD-based model reduction fundamentals and applications |
| title_full | Separated representations and PGD-based model reduction fundamentals and applications Francisco Chinesta ..., eds. |
| title_fullStr | Separated representations and PGD-based model reduction fundamentals and applications Francisco Chinesta ..., eds. |
| title_full_unstemmed | Separated representations and PGD-based model reduction fundamentals and applications Francisco Chinesta ..., eds. |
| title_short | Separated representations and PGD-based model reduction |
| title_sort | separated representations and pgd based model reduction fundamentals and applications |
| title_sub | fundamentals and applications |
| topic | Informatik Ingenieurwissenschaften Computer aided design Computer science Mechanics, applied Engineering |
| topic_facet | Informatik Ingenieurwissenschaften Computer aided design Computer science Mechanics, applied Engineering |
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