On the computation of intrinsic Proper Generalized Decomposition modes of parametric symmetric elliptic problems on Grassmann manifolds

In this work, we introduce an iterative optimization algorithm to obtain the intrinsic Proper Generalized Decomposition modes of elliptic partial differential equations. The main idea behind this procedure is to adapt the general Gradient Descent algorithm to the algebraic version of the intrinsic P...

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Bibliographic Details

Published in:	Applied mathematics and computation Vol. 470; p. 128579
Main Authors:	Bandera, Alejandro, Fernández-García, Soledad, Gómez-Mármol, Macarena
Format:	Journal Article
Language:	English
Published:	Elsevier Inc 01.06.2024
Subjects:	Gradient descent Grassmann manifold Proper Generalized Decomposition Reduced order modeling Symmetric elliptic problems Symmetric elliptic problems Proper Generalized Decomposition Gradient descent Grassmann manifold Reduced order modeling
ISSN:	0096-3003, 1873-5649
Online Access:	Get full text
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