“…On the other hand, right nonlinear preconditioners are often associated with a nonlinear elimination (NE) [27] procedure, such as that described in [10] and in nonlinearly preconditioned inexact Newton methods [14,20,30,40], which have been applied effectively to such challenging problems as incompressible Navier--Stokes equations at high Reynolds numbers [32], blood flow in branching arteries [33], and two-phase flow in porous media [41]. Many variants also attract increasing attention, such as nonlinear FETI (finite element tearing and interconnecting) [35], nonlinear FETI-DP (FETI-dual primal) [23,24,25] and nonlinear BDDC (balancing domain decomposition by constraints) [23,25].…”