Title: Dual-Primal FETI Methods for Linear Elasticity

(NYU-CS-TR855)

Authors: Axel Klawonn and Olof B. Widlund


Abstract:

Dual-Primal FETI methods are nonoverlapping domain decomposition methods
where some of the continuity constraints across subdomain boundaries
are required to hold throughout the iterations, as in primal iterative
substructuring methods, while most of the constraints are enforced by
Lagrange multipliers, as in one-level FETI methods. The purpose of this
article is to develop strategies for selecting these constraints, which
are enforced throughout the iterations, such that good convergence bounds
are obtained, which are independent of even large changes in the stiffnesses 
of the subdomains across the interface between them. A theoretical analysis
is provided and condition number bounds  are established which are uniform
with respect to arbitrarily large jumps in the Young's modulus of the 
material and otherwise only depend polylogarithmically on the number of
unknowns of a single subdomain.