We consider FETI-DP solvers (see Farhat et al. [2001], Mandel and Tezaur [2001], Klawonn et al. [2002]) for the fast (and parallel) solution of this system, and we follow the structure described in [Toselli and Widlund, 2005, Sect 6.4]. To this end, we partition the domain Ω into non-overlapping subdomains Ωi, i = 1, . . . ,N such that the global mesh T (Ω) resolves the interface ⋃ i 6= j ∂Ωi∩ ...

Dual-primal FETI methods for linear elasticity problems in three dimensions are considered. These are nonoverlapping domain decomposition methods where some primal continuity constraints across subdomain boundaries are required to hold throughout the iterations, whereas most of the constraints are enforced by Lagrange multipliers. An algorithmic framework for dualprimal FETI methods is describe...

We have evaluated the reliability of the new fluorescence energy transfer immunoassay (FETI) for determining concentrations of digoxin in serum. The method demonstrated good stability of the standard curve and satisfactory precision in both within-and between-run assay. We have also found a significant correlation between FETI and two RIA methods (r=0.97). Furthermore, the association between r...

Highly scalable parallel domain decomposition methods for elliptic partial differential equations are considered with a special emphasis on problems arising in elasticity. The focus of this survey article is on Finite Element Tearing and Interconnecting (FETI) methods, a family of nonoverlapping domain decomposition methods where the continuity between the subdomains, in principle, is enforced ...

We consider a FETI-DP formulation for the Stokes problem on nonmatching grids in 2D. The FETI-DP method is a domain decomposition method that uses Lagrange multipliers to match the solutions continuously across the subdomain boundaries in the sense of dual-primal variables. We use the mortar matching condition as the continuity constraints for the FETI-DP formulation. Moreover, to satisfy the c...

New nonlinear FETI-DP (dual-primal finite element tearing and interconnecting) and BDDC (balancing domain decomposition by constraints) domain decomposition methods are introduced. In all these methods, in each iteration, local nonlinear problems are solved on the subdomains. The new approaches can significantly reduce communication and show a significantly improved performance, especially for ...

This paper presents the implementation of advanced domain decomposition techniques for parallel solution of large-scale shape sensitivity analysis problems. The methods presented in this study are based on the FETI method proposed by Farhat and Roux1 which is a dual domain decomposition implementation. Two variants of the basic FETI method have been implemented in this study: (i) FETI-1 where t...

High-resolution and anatomically realistic computer models of biological soft tissues play a significant role in the understanding of the function of cardiovascular components in health and disease. However, the computational effort to handle fine grids to resolve the geometries as well as sophisticated tissue models is very challenging. One possibility to derive a strongly scalable parallel so...

In this work the basic Finite Element Tearing and Interconnecting (FETI) linear system solver and the PARPACK eigensolver are combined to compute the smallest modes of symmetric generalized eigenvalue problems that arise from structures modeled ‘primarily’ by solid finite elements. Problems with over one million unknowns are solved. A comprehensive and relatively self-contained description of t...

A unified framework of FETI-DP algorithms is proposed for solving the system of linear equations arising from the mixed finite element approximation of incompressible Stokes equations. A distinctive feature of this framework is that it allows using both continuous and discontinuous pressures in the algorithm, while previous FETI-DP methods only apply to discontinuous pressures. A preconditioned...