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Separated Representations and PGD-Based Model Reduction

Name: Separated Representations and PGD-Based Model Reduction
Brand: Springer Verlag GmbH
SKU: 02545704
Price: 101.79 EUR
Availability: InStock
Author: Francisco Chinesta
ISBN: 9783709117934

Fundamentals and Applications

Francisco Chinesta

Pierre Ladev?ze

Language

English

Book Hardback

Libristo code: 02545704

Publishers Springer Verlag GmbH, September 2014

The papers in this volume start with a description of the construction of reduced models through a r... Full description

Libristo code: 02545704

249 b

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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.