Per citar aquest document: https://ddd.uab.cat/record/150446
Scopus: 29 cites, Web of Science: 23 cites,
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 (València). Departamento de Ciencias, Físicas, Matemáticas y de la Computación)
Nouy, Anthony (Université de Nantes)

Data: 2011
Resum: 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.
Nota: Agraïments: A. Nouy supported by GdR MoMaS with partners ANDRA, BRGM, CEA, CNRS, EDF, IRSN
Drets: Tots els drets reservats.
Llengua: Anglès
Document: article ; recerca ; preprint
Matèria: Proper Generalized Decomposition ; Singular values ; Tensor product Hilbert spaces
Publicat a: Journal of Mathematical Analysis and Applications, Vol. 376 (2011) , p. 469-480, ISSN 0022-247X

DOI: 10.1016/j.jmaa.2010.12.003


Preprint
18 p, 370.2 KB

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Documents de recerca > Documents dels grups de recerca de la UAB > Centres i grups de recerca (producció científica) > Ciències > GSD (Grup de sistemes dinàmics)
Articles > Articles de recerca
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 Registre creat el 2016-05-06, darrera modificació el 2017-10-14



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