A proper feneralized decomposition for the solution of elliptic problems in abstract form by using a functional Eckart-Young approach
Falcó, Antonio (Universidad CEU Cardenal Herrera. Departamento de Ciencias Físicas, Matemáticas y de la Computación)
Nouy, Anthony (Université de Nantes)

Date:	2011
Abstract:	The Proper Generalized Decomposition (PGD) is a methodology initially proposed for the solution of partial differential equations (PDE) defined in tensor product spaces. It consists in constructing a separated representation of the solution of a given PDE. In this paper we consider the mathematical analysis of this framework for a larger class of problems in an abstract setting. In particular, we introduce a generalization of Eckart and Young theorem which allows to prove the convergence of the so-called progressive PGD for a large class of linear problems defined in tensor product Hilbert spaces.
Note:	Agraïments: A. Nouy supported by GdR MoMaS with partners ANDRA, BRGM, CEA, CNRS, EDF, IRSN
Rights:	Tots els drets reservats.
Language:	Anglès
Document:	Article ; recerca ; Versió acceptada per publicar
Subject:	Proper Generalized Decomposition ; Singular values ; Tensor product Hilbert spaces
Published in:	Journal of mathematical analysis and applications, Vol. 376 (2011) , p. 469-480, ISSN 1096-0813

DOI: 10.1016/j.jmaa.2010.12.003

Postprint 18 p, 370.2 KB

The record appears in these collections:
Research literature > UAB research groups literature > Research Centres and Groups (research output) > Experimental sciences > GSD (Dynamical systems)
Articles > Research articles
Articles > Published articles