  An efficient method for solving large nonlinear problems combines Newton
solvers and Domain Decomposition Methods (DDM). In the DDM framework, the
boundary conditions can be chosen to be primal, dual or mixed. The mixed
approach presents the advantage to be eligible for the research of an optimal
interface parameter (often called impedance) which can increase the convergence
rate. The optimal value for this parameter is often too expensive to be
computed exactly in practice: an approximate version has to be sought for,
along with a compromise between efficiency and computational cost. In the
context of parallel algorithms for solving nonlinear structural mechanical
problems, we propose a new heuristic for the impedance which combines short and
long range effects at a low computational cost.

Numerical Analysis;Distributed, Parallel, and Cluster Computing;Numerical Analysis;Classical Physics