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Engineering Analysis with Boundary Elements 35, 1 (2011) 2-17
Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions
G. Bonithon 1, P. Joyot 1, F. Chinesta 2, P. Villon 3
(03/01/2011)

There are many ways to solve space-time linear parabolic partial differential equations by using the boundary element method (BEM). In general, standard techniques make use of an incremental strategy. In this paper we propose a novel alternative of efficient non-incremental solution strategy for that kind of models. The proposed technique combines the use of the BEM with a proper generalized decomposition (PGD) that allows a space-time separated representation of the unknown field within a non-incremental integration scheme.
1 :  ESTIA Recherche
Ecole Supérieure des Technologies Industrielles Avancées (ESTIA)
2 :  Institut de Recherche en Génie Civil et Mécanique (GeM)
CNRS : UMR6183 – Université de Nantes – École Centrale de Nantes
3 :  Laboratoire Roberval - Unité de recherche en mécanique (LRURM)
UTC
Sciences de l'ingénieur/Mécanique/Thermique

Physique/Mécanique/Thermique

Mathématiques/Analyse numérique
Proper generalized decomposition – BEM – Heat equation