Eur. Phys. J. Appl. Phys. (2013) 64: 24514
https://doi.org/10.1051/epjap/2013120411

Model order reduction of quasi-static problems based on POD and PGD approaches^*

¹ L2EP, Université Lille 1, 59655 Villeneuve d’Ascq, France
² L2EP, Arts et Métiers ParisTech, 59046 Lille, France

^a e-mail: Thomas.Henneron@univ-lille1.fr

Received: 28 September 2012
Revised: 19 December 2012
Accepted: 17 May 2013
Published online: 8 November 2013

Abstract

In order to reduce the computation time of a quasi-static problem solved by the finite element method, methods of model order reduction can be applied. In this context, two approaches, the proper orthogonal decomposition and the proper generalized decomposition, are applied to the vector poten-tial formulation used to solve the quasi-static problem. The developed methods are compared on an academic example.