Title
Numerical strategies for the Galerkin-proper generalized decomposition method.
Abstract
The Proper Generalized Decomposition or, for short, PGD is a tensor decomposition based technique to solve PDE problems. It reduces calculation and storage cost drastically and presents some similarities with the Proper Orthogonal Decomposition, for short POD. In this work, we propose an efficient implementation to improve the convergence of the PGD, toward the numerical solution of a discretized PDE problem, when the associated matrix is Laplacian-like.
Year
DOI
Venue
2013
10.1016/j.mcm.2011.11.012
Mathematical and Computer Modelling
Keywords
DocType
Volume
Numerical tensor calculus,Tensor Banach space,Proper generalized decomposition,Laplacian-like matrix
Journal
57
Issue
ISSN
Citations 
7
0895-7177
1
PageRank 
References 
Authors
0.37
2
4
Name
Order
Citations
PageRank
Antonio Falcó1415.43
L. Hilario232.12
N. Montés333.13
M. C. Mora4134.21