| dc.contributor.author |
Badea, Lori. |
| dc.contributor.author |
Tai, Xue Cheng. |
| dc.contributor.author |
Wang, Junping. |
| dc.date.accessioned |
2009-08-12T00:49:22Z |
| dc.date.available |
2009-08-12T00:49:22Z |
| dc.date.copyright |
2003 |
| dc.date.issued |
2009-08-12T00:49:22Z |
| dc.identifier.citation |
Badea, L., Tai, X. C., & Wang, J. (2003). Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. SIAM Journal on Numerical Analysis, 41(3), 1052-1073. |
| dc.identifier.issn |
0036-1429 |
| dc.identifier.uri |
http://hdl.handle.net/10220/6043 |
| dc.description.abstract |
This paper derives a linear convergence for the Schwarz overlapping domain decomposition method when applied to constrained minimization problems. The convergence analysis is based on a minimization approach to the corresponding functional over a convex set. A general framework of convergence is established for some multiplicative Schwarz algorithm. The abstract theory is particularly applied to some obstacle problems, which yields a linear convergence for the corresponding Schwarz overlapping domain decomposition method of one and two levels. Numerical experiments are presented to confirm the convergence estimate derived in this paper. |
| dc.format.extent |
22 p. |
| dc.language.iso |
en |
| dc.relation.ispartofseries |
SIAM journal on numerical analysis |
| dc.rights |
SIAM Journal on Numerical Analysis © copyright 2003 Siam Society for Industrial and Applied. The journal's website is located at http://www.siam.org/journals/ |
| dc.subject |
DRNTU::Science::Mathematics::Applied mathematics::Numerical analysis. |
| dc.title |
Convergence rate analysis of a multiplicative Schwarz method for variational inequalities. |
| dc.type |
Journal Article |
| dc.contributor.school |
School of Physical and Mathematical Sciences |
| dc.identifier.openurl |
http://sfxna09.hosted.exlibrisgroup.com:3410/ntu/sfxlcl3?sid=metalib:EBSCO_APH&id=doi:&genre=&isbn=&issn=00361429&date=2003&volume=41&issue=3&spage=1052&epage=&aulast=Badea&aufirst=%20Lori&auinit=&title=SIAM%20Journal%20on%20Numerical%20Analysis&atitle=CONVERGENCE%20RATE%20ANALYSIS%20OF%20A%20MULTIPLICATIVE%20SCHWARZ%20METHOD%20FOR%20VARIATIONAL%20INEQUALITIES%2E&sici. |
| dc.identifier.doi |
http://dx.doi.org/10.1137/S0036142901393607. |
| dc.description.version |
Published version |
