Citation
L. Badea et Jp. Wang, An additive Schwarz method for variational inequalities, MATH COMPUT, 69(232), 2000, pp. 1341-1354
Citations number
20
Categorie Soggetti
Mathematics
Journal title
MATHEMATICS OF COMPUTATION
ISSN journal
00255718
→ ACNP
Volume
69
Issue
232
Year of publication
2000
Pages
1341 - 1354
Database
ISI
SICI code
0025-5718(200010)69:232<1341:AASMFV>2.0.ZU;2-G
Abstract
This paper proposes an additive Schwarz method for variational inequalities
and their approximations by finite element methods. The Schwarz domain dec
omposition method is proved to converge with a geometric rate depending on
the decomposition of the domain. The result is based on an abstract framewo
rk of convergence analysis established for general variational inequalities
in Hilbert spaces.