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Abstract: The convergence of a substructuring iterative method with Lagrange multipliers known as Finite Element Tearing and Interconnecting (FETI) method is analyzed in this thesis. This method, originally proposed by Farhat and Roux, decomposes finite element discretization of an elliptic boundary value problem into Neumann problems on the subdomains, plus a coarse problem for the subdomain null space components. For linear conforming elements and preconditioning by Dirichlet problems on the... (Update)
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...log(H=h) 3 ; for any preconditioner c M Gamma1 that is spectrally equivalent to the exact Dirichlet preconditioner. In Tezaur [26], a condition number estimate of C(1 log(H=h) 2 is given for an algebraic FETI method developed by Park et al. 19, 20] see also the...
.... i.e. the points that belong to the closure of more than two subdomains, and as C(1 log(H=h) 3 in the general case; cf [41, 49]. Here, H is the subdomain diameter and h is the mesh size. Using a di erent preconditioner, Klawonn and Widlund obtained a FETI method...
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FETI Domain Decomposition Methods For Scalar Advection-Diffusion.. - Toselli (2000) (Correct)
Feti And Neumann-Neumann Iterative Substructuring Methods.. - Klawonn, Widlund (1999) (Correct)
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9: Optimal convergence properties of the FETI domain decomposition method (context) - Farhat, Mandel et al. - 1994
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BibTeX entry: (Update)
R. Tezaur. Analysis of Lagrange Multiplier Based Domain Decomposition. PhD thesis, University of Colorado at Denver, 1998. http://citeseer.ist.psu.edu/78095.html More
@phdthesis{ tezaur98analysis,
author = "Radek Tezaur",
title = "Analysis of {Lagrange} {Multiplier} {Based} {Domain} {Decomposition}",
year = "1998",
url = "citeseer.ist.psu.edu/78095.html" }
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