A MICROLOCAL DISCRETIZATION METHOD AND IT S UTILIZATION FOR A SCATTERING PROBLEM

Authors
DELABOURDONNAYE A
Citation
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
Citations number
6
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
318
Issue
4
Year of publication
1994
Pages
385 - 388
Database
ISI
SICI code
0764-4442(1994)318:4<385:AMDMAI>2.0.ZU;2-X
Abstract
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.