A. Delabourdonnaye, A MICROLOCAL DISCRETIZATION METHOD AND IT S UTILIZATION FOR A SCATTERING PROBLEM, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 318(4), 1994, pp. 385-388
We present a new method of discretization which does not localize only
in the physical space, but in the cotangent fiber bundle. When we app
ly it to the scattering problem in frequency domain, we are able to co
nstruct an approximation of the integral equation operator, whose accu
racy increases with the frequency and whose algorithmic complexity is
drastically reduced, compared to the one of classical finite-element m
ethods.