An adaptive coarse space approach including a condition number bound for dual primal
finite element tearing and interconnecting (FETI-DP) methods applied to three dimensional …

The adaptive BDDC method is extended to the selection of face constraints in three
dimensions. A new implementation of the BDDC method is presented based on a global …

We combine the adaptive and multilevel approaches to the BDDC and formulate a method
which allows an adaptive selection of constraints on each decomposition level. We also …

Summary A parallel FETI‐DP domain decomposition method using an adaptive coarse
space is presented. The implementation builds on a recently introduced adaptive FETI‐DP …

Numerical methods are often well-suited for the solution of (elliptic) partial differential
equations (PDEs) modeling naturally occuring processes. Many different solvers can be …

Abstract Domain decomposition methods are successful and highly parallel scalable
iterative solution methods for discretized partial differential equations. Nevertheless, for …

The BDDC method [2] is one of the most advanced methods of iterative substructuring. In the
case of many substructures, solving the coarse problem exactly becomes a bottleneck …

We study a framework that allows to solve the coarse problem in the FETI‐DP method
approximately. It is based on the saddle‐point formulation of the FETI‐DP system with a …

We propose a Nested BDDC for a class of saddle-point problems. The method solves for
both flux and pressure variables. The fluxes are resolved in three-steps: the coarse solve is …

A fair comparison of three Balancing Domain Decomposition by Constraints (BDDC)
methods with an approximate coarse space solver is attempted for the first time. The …