OPTIMAL SPECTRAL DIRECT SOLVER OF THE OPE RATOR (ALPHA-I PLUS CURL CURL)

Authors
AZAIEZ M BELGACEM FB GRUNDMANN M
Citation
M. Azaiez et al., OPTIMAL SPECTRAL DIRECT SOLVER OF THE OPE RATOR (ALPHA-I PLUS CURL CURL), Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(6), 1995, pp. 737-742
Citations number
5
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
6
Year of publication
1995
Pages
737 - 742
Database
ISI
SICI code
0764-4442(1995)320:6<737:OSDSOT>2.0.ZU;2-L
Abstract
We propose a spectral approximation of the operator (alpha I + curl cu rl), we prove an optimal convergence rate and we detail a direct ''suc cessive diagonalizations'' solver of the discrete system based on the tensorized properties of such an operator.