Title
Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework
Document Type
Article
Publication Date
12-1-2003
Abstract
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 C(1 + ln(H/h)) , where H is the maximum of the diameters of the subdomains, h is the mesh size of a quasiuniform triangulation, and the positive constant C is independent of h, H, the number of subdomains and the coefficients of the boundary value problems on the subdomains. The sharpness of the bound for second order problems is also established. 2
Publication Source (Journal or Book title)
Electronic Transactions on Numerical Analysis
First Page
165
Last Page
185
Recommended Citation
Brenner, S. (2003). Analysis of two-dimensional FETI-DP preconditioners by the standard additive Schwarz framework. Electronic Transactions on Numerical Analysis, 16, 165-185. Retrieved from https://repository.lsu.edu/mathematics_pubs/182