CISM International Centre for Mechanical Sciences

Separated Representations and PGD-Based Model Reduction

Fundamentals and Applications

Editors: Chinesta, Francisco, Ladevèze, Pierre (Eds.)

  • First book on this topic addressing a large audience (from undergraduate students to experienced researchers)
  • Hot topic
  • New ways of problem solving
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eBook $129.00
price for USA (gross)
  • ISBN 978-3-7091-1794-1
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  • Included format: PDF
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  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-7091-1793-4
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About this book

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.

Table of contents (4 chapters)

  • Model Order Reduction based on Proper Orthogonal Decomposition

    Cueto, Elías (et al.)

    Pages 1-26

  • PGD for solving multidimensional and parametric models

    Chinesta, Francisco (et al.)

    Pages 27-89

  • PGD in linear and nonlinear Computational Solid Mechanics

    Ladevèze, Pierre

    Pages 91-152

  • Fundamentals of reduced basis method for problems governed by parametrized PDEs and applications

    Rozza, Gianluigi

    Pages 153-227

Buy this book

eBook $129.00
price for USA (gross)
  • ISBN 978-3-7091-1794-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $169.00
price for USA
  • ISBN 978-3-7091-1793-4
  • Free shipping for individuals worldwide
  • Online orders shipping within 2-3 days.
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Bibliographic Information

Bibliographic Information
Book Title
Separated Representations and PGD-Based Model Reduction
Book Subtitle
Fundamentals and Applications
Editors
  • Francisco Chinesta
  • Pierre Ladevèze
Series Title
CISM International Centre for Mechanical Sciences
Series Volume
554
Copyright
2014
Publisher
Springer-Verlag Wien
Copyright Holder
CISM, Undine
eBook ISBN
978-3-7091-1794-1
DOI
10.1007/978-3-7091-1794-1
Hardcover ISBN
978-3-7091-1793-4
Series ISSN
0254-1971
Edition Number
1
Number of Pages
VII, 227
Number of Illustrations and Tables
74 b/w illustrations
Topics