Separated Representations and PGD-Based Model Reduction - Fundamentals and Applications (Hardcover, 2015)

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.

General

Imprint:	Springer-Verlag
Country of origin:	Austria
Series:	CISM International Centre for Mechanical Sciences, 554
Release date:	September 2014
First published:	2014
Editors:	Francisco Chinesta • Pierre Ladeveze
Dimensions:	235 x 155 x 15mm (L x W x T)
Format:	Hardcover
Pages:	227
Edition:	2015
ISBN-13:	978-3-7091-1793-4
Categories:	Books > Science & Mathematics > Mathematics > Applied mathematics > Mathematics for scientists & engineers Books > Professional & Technical > Technology: general issues > Technical design > Computer aided design (CAD) Promotions
LSN:	3-7091-1793-3
Barcode:	9783709117934

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