Title: A new look at FETI
Authors: Susanne C. Brenner
Published: Proceedings of the Thirteenth International
Conference on Domain Decomposition Methods
(2001), pp. 41-51
Abstract: A coordinate-free formulation of the Finite Element Tearing and
Interconnecting (FETI) method and a new 3D FETI preconditioner
are presented in this paper. The coarse problem for the new
preconditioner is mesh-independent and the condition number of
the preconditioned system is bounded by a constant C times the
square of 1+ln(H/h), where H is the typical diameter of the
subdomains, h is the mesh-size of the triangulation and the
constant C is independent of the number of subdomains and jumps
of coefficients. The analysis of the new preconditioenr can be
carried out within the additive Schwarz framework.
Presented at:
- 13th International Conference on Domain Decomposition Methods,
Lyon, October 9-12, 2000