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Separated Representations and PGD-Based Model Reduction

Fundamentals and Applications

  • Francisco Chinesta
  • Pierre Ladevèze

Part of the CISM International Centre for Mechanical Sciences book series (CISM, volume 554)

Table of contents

  1. Front Matter
    Pages i-vii
  2. Elías Cueto, Francisco Chinesta, Antonio Huerta
    Pages 1-26
  3. Francisco Chinesta, Elías Cueto, Antonio Huerta
    Pages 27-89

About this book

Introduction

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.

Keywords

Computational Solid Mechanics Orthogonal Decomposition Proper Generalized Decomposition Simulation Techniques

Editors and affiliations

  • Francisco Chinesta
    • 1
  • Pierre Ladevèze
    • 2
  1. 1.Ecole Centrale de NantesNantesFrance
  2. 2.Ecole Normale Supérieure de CachanCachanFrance

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-7091-1794-1
  • Copyright Information CISM, Undine 2014
  • Publisher Name Springer, Vienna
  • eBook Packages Engineering
  • Print ISBN 978-3-7091-1793-4
  • Online ISBN 978-3-7091-1794-1
  • Series Print ISSN 0254-1971
  • Series Online ISSN 2309-3706
  • Buy this book on publisher's site
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