Primal and Dual Interface Concentrated Iterative Substructuring Methods

Dual-Primal FETI Methods for Three-Dimensional Elliptic Problems with Heterogeneous Coefficients

In this paper, certain iterative substructuring methods with Lagrange multipliers are considered for elliptic problems in three dimensions. The algorithms belong to the family of dual{ primal FETI methods which have recently been introduced and analyzed successfully for elliptic problems in the plane. The family of algorithms for three dimensions is extended and a full analysis is provided for ...

Dual-primal iterative substructuring for almost incompressible elasticity

Selecting Constraints in Dual-Primal FETI Methods for Elasticity in Three Dimensions

Iterative substructuring methods with Lagrange multipliers for the elliptic system of linear elasticity are considered. The algorithms belong to the family of dual-primal FETI methods which was introduced for linear elasticity problems in the plane by Farhat et al. [2001] and then extended to three dimensional elasticity problems by Farhat et al. [2000]. In dual-primal FETI methods, some contin...

Dual-primal Feti Methods for Linear Elasticity

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 selec...

UN CO RR EC TE D PR O O F 1 Domain Decomposition Methods of Stochastic PDEs 2

In conjunction with modern high performance computing systems, domain decomAQ1 8 position algorithms permit simulation of PDEs with extremely high resolution nu9 merical models. Such computational models substantially reduce discretization er10 rors. In realistic simulation of certain physical systems, it is however necessary to 11 consider the heterogeneities of the model parameters. Whenever ...