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Error arising from the separation of input data in PGD: a priori estimates and implementation best practices

Author
Diez, P.; Zlotnik, S.; Huerta, A.
Type of activity
Presentation of work at congresses
Name of edition
3rd Workshop Reduced Basis, POD and PGD Model Reduction Techniques
Date of publication
2015
Presentation's date
2015-11-06
Book of congress proceedings
Book of Abstracts of the 3rd International Workshop on Reduced Basis, POD and PGD Model Reduction Techniques (ROM 2015). November 4-6, 2015, Cachan, France
First page
96
Last page
96
Abstract
Separated representations are commonly used to avoid the so-called curse of dimensionality, that is, an exponential increase in the number of degrees of freedom with the number of dimensions. In order to use separated functions to approximate the solution of some Boundary Value Problem (BVP), the differential operators defining the BVP must be separable. This is the case, for example, of the Proper Generalised Decomposition (PGD). Separability of operators, in practice, requires separability of...
Group of research
LACÀN - Numerical Methods for Applied Sciences and Engineering

Participants