A first order method for the Cauchy problem for the Laplace equation using BEM

Franck Delvare (1) , Alain Cimetière (2)

1 PRISME - Laboratoire Pluridisciplinaire de Recherche en Ingénierie des Systèmes, Mécanique et Energétique
2 LMP - Laboratoire de métallurgie physique

The purpose is to propose an improved method for inverse boundary value problems. This method is presented on a model problem. It introduces a higher order problem. BEM numerical simulations highlight the efficiency, the improved accuracy, the robustness to noisy data of this new approach, as well as its ability to deblur noisy data.

Mots clés: Cauchy problem; Inverse problem; Boundary values; Boundary element method; Regularization

Domaines: Thermique [physics.class-ph]; Thermique [physics.class-ph]

Franck Delvare, Alain Cimetière. A first order method for the Cauchy problem for the Laplace equation using BEM. Computational Mechanics, 2008, 41 (6), pp.789-796. ⟨10.1007/s00466-007-0157-y⟩. ⟨hal-00601540⟩