Geodesic
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework
Electronic transactions on numerical analysis, Tome 16 (2003), pp. 165-185
FETI-DP preconditioners for two-dimensional elliptic boundary value problems with heterogeneous coefficients are analyzed by the standard additive Schwarz framework. It is shown that the condition number of the preconditioned system for both second order and fourth order problems is bounded by , where $\textcent $###$\sterling $########$\ddot $§$\copyright $ !#"%$ is the maximum of the diameters of the subdomains, is the mesh size of a quasiuniform triangulation, and the positive constant is independent of , , the number of subdomains and the coefficients of the boundary value \textcent problems on the subdomains. The sharpness of the bound for second order problems is also established.$
Classification : 65N55, 65N30
Keywords: FETI-DP, additive Schwarz, domain decomposition, heterogeneous coefficients 
@article{ETNA_2003__16__a1,
     author = {Brenner,  Susanne},
     title = {Analysis of two-dimensional {FETI-DP} preconditioners by the standard additive {Schwarz} framework},
     journal = {Electronic transactions on numerical analysis},
     pages = {165--185},
     year = {2003},
     volume = {16},
     zbl = {1065.65136},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2003__16__a1/}
}
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%A Brenner,  Susanne
%T Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework
%J Electronic transactions on numerical analysis
%D 2003
%P 165-185
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%U http://geodesic.mathdoc.fr/item/ETNA_2003__16__a1/
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%F ETNA_2003__16__a1
Brenner,  Susanne. Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Electronic transactions on numerical analysis, Tome 16 (2003), pp. 165-185. http://geodesic.mathdoc.fr/item/ETNA_2003__16__a1/