Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I)

Alain Bamberger (1) , Tuong Ha Duong (1)

1 CMAP - Centre de Mathématiques Appliquées

We give here a space-time variational formula to the problem of the transient acoustic scattering by a free (pressure release) surface, using the retarded potential technique. From this formula, we obtain new schema for the calculation of the potential density. We prove stability and convergence of such schemes: these are as far as we know, the first results in that direction for such problem. The case of a hard obstacle will be treated in the second part of the paper.

Domaines: Mathématiques [math]

Alain Bamberger, Tuong Ha Duong. Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d'une onde acoustique (I). Mathematical Methods in the Applied Sciences, 1986, 8 (1), pp.405-435. ⟨10.1002/mma.1670080127⟩. ⟨hal-01571259⟩