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Erschienen in:
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2014 | OriginalPaper | Buchkapitel

1. Introduction

verfasst von : Francisco Chinesta, Roland Keunings, Adrien Leygue

Erschienen in: The Proper Generalized Decomposition for Advanced Numerical Simulations

Verlag: Springer International Publishing

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Abstract

This chapter summarizes several recurrent issues related to efficient numerical simulations of problems encountered in engineering sciences. In order to alleviate such issues, model reduction techniques constitute an appealing alternative to standard discretization techniques. First, reduction techniques based on Proper Orthogonal Decompositions are revisited. Their use is illustrated and discussed, suggesting the interest of a priori separated representations which are at the heart of the Proper Generalized Decomposition (PGD). The main ideas behind the PGD are described, underlying its potential for addressing standard computational mechanics models in a non-standard way, within a new computational engineering paradigm. The chapter ends with a brief overview of some recent PGD applications in different areas, proving the potentiality of this novel technique.

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Nächstes Kapitel PGD Solution of the Poisson Equation
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Metadaten
Titel
Introduction
verfasst von
Francisco Chinesta
Roland Keunings
Adrien Leygue
Copyright-Jahr
2014
Buch
The Proper Generalized Decomposition for Advanced Numerical Simulations

Print ISBN: 978-3-319-02864-4

Electronic ISBN: 978-3-319-02865-1

Copyright-Jahr: 2014

DOI
https://doi.org/10.1007/978-3-319-02865-1_1