Improving BEM Solvers: The Proper Generalized Decomposition Boundary Element Method for Solving Parabolic Problems

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

In this work we propose a new approach for solving the heat equation within the Boundary Elements method framework. This technique lies in the use of a separated representation of the unknown field that allows decoupling the space problem (that results steady state) from the temporal one (one dimensional that only involves the time coordinate).

Mots clés: boundary element method; separated representations; Proper Generalized Decomposition

Domaines: Mécanique [physics.med-ph]; Matériaux

Gaël Bonithon, Pierre Joyot, Francisco Chinesta, Pierre Villon. Improving BEM Solvers: The Proper Generalized Decomposition Boundary Element Method for Solving Parabolic Problems. International Conference on Boundary Element Method, 2009, Athène, Greece. ⟨hal-01008300⟩