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Title of Journal: Numer Math

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Abbravation: Numerische Mathematik

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Springer-Verlag

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DOI

10.1007/bf01359852

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0945-3245

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Proper generalized decomposition for nonlinear con

Authors: Antonio Falcó Anthony Nouy
Publish Date: 2011/12/22
Volume: 121, Issue: 3, Pages: 503-530
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Abstract

Tensorbased methods are receiving a growing interest in scientific computing for the numerical solution of problems defined in high dimensional tensor product spaces A family of methods called proper generalized decompositions PGD methods have been recently introduced for the a priori construction of tensor approximations of the solution of such problems In this paper we give a mathematical analysis of a family of progressive and updated PGDs for a particular class of problems associated with the minimization of a convex functional over a reflexive tensor Banach space

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