Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions

Gaël Bonithon (1) , Pierre Joyot (1) , Francisco Chinesta (2) , Pierre Villon (3)

1 ESTIA INSTITUTE OF TECHNOLOGY
2 GeM - Institut de Recherche en Génie Civil et Mécanique
3 Roberval - Roberval

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.

Mots clés: Proper generalized decomposition; BEM; Heat equation

Domaines: Mécanique [physics.med-ph]

Gaël Bonithon, Pierre Joyot, Francisco Chinesta, Pierre Villon. Non-incremental boundary element discretization of parabolic models based on the use of the proper generalized decompositions. Engineering Analysis with Boundary Elements, 2011, 35, pp.2-17. ⟨10.1016/j.enganabound.2010.07.007⟩. ⟨hal-01532805⟩