NUMERICAL TREATMENT OF INTEGRAL-EQUATIONS ON IPSC

Citation
A. Delabourdonnaye, NUMERICAL TREATMENT OF INTEGRAL-EQUATIONS ON IPSC, Applied numerical mathematics, 12(5), 1993, pp. 473-483
Citations number
5
Categorie Soggetti
Mathematics,Mathematics
ISSN journal
01689274
Volume
12
Issue
5
Year of publication
1993
Pages
473 - 483
Database
ISI
SICI code
0168-9274(1993)12:5<473:NTOIOI>2.0.ZU;2-Z
Abstract
One of the main drawbacks of the integral equations method applied to scattering problems is that, after discretization, this method leads t o a full complex and non-Hermitian matrix. Furthermore, as the mathema tical problem may be singular due to eigenvalues of the inside problem of diffraction, the matrix is usually ill-conditioned. In this paper, we study a preconditioning matrix from the point of view of efficienc y and parallelism.