Non-Incremental Boundary Element Discretization of Non-Linear Heat Equation Based on the Proper Generalized Decomposition

G. Bonithon (1) , P. Joyot (1) , Francisco Chinesta (2) , P. 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).

Domaines: Thermique [physics.class-ph]; Thermique [physics.class-ph]; Analyse numérique [math.NA]

G. Bonithon, P. Joyot, Francisco Chinesta, P. Villon. Non-Incremental Boundary Element Discretization of Non-Linear Heat Equation Based on the Proper Generalized Decomposition. 11th International Conference on Boundary Element & Meshless Techniques, Jul 2010, Berlin, Germany. pp.54-61. ⟨hal-00588410⟩