Optimization based nonoverlapping domain decomposition algorithms and their convergence

Authors
Du, Q
Citation
Q. Du, Optimization based nonoverlapping domain decomposition algorithms and their convergence, SIAM J NUM, 39(3), 2001, pp. 1056-1077
Citations number
32
Categorie Soggetti
Mathematics
Journal title
SIAM JOURNAL ON NUMERICAL ANALYSIS
ISSN journal
00361429 → ACNP
Volume
39
Issue
3
Year of publication
2001
Pages
1056 - 1077
Database
ISI
SICI code
0036-1429(20010831)39:3<1056:OBNDDA>2.0.ZU;2-F
Abstract
We present some optimization based domain decomposition algorithms with non overlapping subdomains. A number of existing algorithms, as well as new alg orithms, may be derived using this approach. Both continuous problems and t heir finite element discretizations are considered. Convergence properties are examined.