We investigate additive Schwarz methods for semilinear elliptic problems with convex
energy functionals, which have wide scientific applications. A key observation is that the …

Based on the B-differentiable Newton method (BDNM) and finite element tearing and
interconnecting (FETI) algorithm, a coupled approach named FETI-BDNM is developed to …

Fourth-order variational inequalities are encountered in various scientific and engineering
disciplines, including elliptic optimal control problems and plate obstacle problems. In this …

This paper presents a novel backtracking strategy for additive Schwarz methods for general
convex optimization problems as an acceleration scheme. The proposed backtracking …

In this study, we propose a coupled approach called the SBFETI-BDEs method for solving
the 2D elastic frictional contact problem. The contact system is decomposed into multiple …

Abstract The unpreconditioned H‐TFETI‐DP (hybrid total finite element tearing and
interconnecting dual‐primal) domain decomposition method introduced by Klawonn and …

We propose a new training algorithm, named DualFL (Dualized Federated Learning), for
solving distributed optimization problems in federated learning. DualFL achieves …

The basic ideas of TFETI-based scalable domain decomposition algorithms for contact
problems are illustrated on the solution of two scalar problems with unilateral constraints …