A Neumann-Neumanndomain decomposition algorithm for the Signorini problem Original Research Article

In this paper, we propose a Neumann-Neumann algorithm to approximate a frictionless static Signorini contact problem between two elastic bodies and we prove its convergence. The Neumann-Neumann algorithm is a parallel one, in which we have to solve a Dirichlet problem and then a Neumann one, simultaneously on each domain. The primary feature of this new algorithm is the retention the natural interface between the two bodies as a numerical interface for the domain decomposition.