A feti preconditioner for two dimensional edge element approximations of Maxwell's equations on nonmatching grids

Authors
Rapetti, F Toselli, A
Citation
F. Rapetti et A. Toselli, A feti preconditioner for two dimensional edge element approximations of Maxwell's equations on nonmatching grids, SIAM J SC C, 23(1), 2001, pp. 92-108
Citations number
34
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON SCIENTIFIC COMPUTING
ISSN journal
10648275 → ACNP
Volume
23
Issue
1
Year of publication
2001
Pages
92 - 108
Database
ISI
SICI code
1064-8275(20010627)23:1<92:AFPFTD>2.0.ZU;2-#
Abstract
A class of FETI methods for the mortar approximation of a vector field prob lem in two dimensions is proposed. Edge element discretizations of lowest d egree are considered. The method proposed can be employed with geometricall y conforming and nonconforming partitions. Our numerical results show that its condition number increases only with the number of unknowns in each sub domain and is independent of the number of subdomains and the size of the p roblem.