Abstract. In this paper, a FETI-DP formulation for three dimensional elasticity on non-matching grids over geometrically non-conforming subdomain partitions is considered. To resolve the nonconformity of the finite elements, a mortar matching condition is imposed on the subdomain interfaces (faces). A FETI-DP algorithm is then built by enforcing the mortar matching condition in dual and primal ...

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 ...

Short-term synaptic depression is an important component of computation within neural networks, but little is known of its contribution to information processing during synaptically generated spike trains. We analyzed short-term synaptic depression at a synapse between two identified motoneurons innervating the hind leg of the locust: the FETi-FlTi synapse (fast extensor tibiae-flexor tibiae). ...

A simple explicit–implicit finite element tearing and interconnecting (FETI) algorithm (AFETI-EI algorithm) is presented for partitioned transient analysis of linear structural systems. The present algorithm employs two decompositions. First, the total system is partitioned via spatial or domain decomposition to obtain the governing equations of motions for each partitioned domain. Second, for ...

FETI-DP methods were introduced in [8]. They form a class of fast and efficient 13 iterative solvers for algebraic systems of equations arising from the finite element 14 discretizations of elliptic partial differential equations of second and fourth order, 15 cf. [8, 10, 11, 16] and references therein. In a one-level FETI-DP method one has 16 to solve a linear system for a set of dual variable...

In this article, we review a dual-primal FETI (FETI-DP) method with mortar methods. The mortar matching condition is used as the continuity constraints for the FETI-DP formulation. A Neumann-Dirichlet preconditioner is investigated and it is shown that the condition number of the preconditioned FETI-DP operator for the two-dimensional elliptic problem is bounded by C maxi=1,...,N{(1 + log (Hi/h...

where Ω is a bounded polygonal region in <, and the ∂ΩD, ∂ΩN and ∂ΩS correspond to subsets of ∂Ω where the Dirichlet, Neumann and Sommerfeld boundary conditions are imposed. The main purpose of this paper is to introduce novel two-level overlapping Schwarz methods for solving the Helmholtz equation. Among the most effective parallel two-level domain decomposition solvers for the Helmholtz equat...

A scale bridging approach combining the FE method with parallel domain decomposition (FETI) is presented. The FETI approach is used in the project “EXASTEEL Bridging Scales for Multiphase Steels” (within the German priority program “Software for Exascale Computing SPPEXA”) for the simulation of modern dual-phase steels. This approach incorporates phenomena on the microscale into the macroscopic...

The FETI method is based on introducing Lagrange multipliers along interfaces between subdomain to enforce continuity of local solutions [4]. It has been demonstrated to be numerically scalable in the case of second-order problems, thanks to a built-in “coarse grid” projection [3]. For high-order problems, especially with plate or shell finite element models in structural analysis, a two-level ...