TY  - BOOK
AU  - Chinesta,Francisco
AU  - Ladevèze,Pierre
ED  - SpringerLink (Online service)
TI  - Separated Representations and PGD-Based Model Reduction: Fundamentals and Applications 
T2  - CISM International Centre for Mechanical Sciences,
SN  - 9783709117941
AV  - TA349-359 
U1  - 620.1 23
PY  - 2014///
CY  - Vienna
PB  - Springer Vienna, Imprint: Springer
KW  - engineering
KW  - Computer aided design
KW  - Computer Science
KW  - Mechanics, applied
KW  - Engineering
KW  - Theoretical and Applied Mechanics
KW  - Computational Science and Engineering
KW  - Computer-Aided Engineering (CAD, CAE) and Design
N1  - From the Contents: Model order reduction based on proper orthogonal decomposition: Model reduction: extracting relevant information -- Interpolation of reduced basis: a geometrical approach -- POD for non-linear models
N2  - 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
UR  - http://dx.doi.org/10.1007/978-3-7091-1794-1
ER  -