A New Interface Cement Equilibrated Mortar Method with Ventcel Conditions

We present a new nonconforming domain decomposition method based on a Schwarz method with optimized Ventcel transmission conditions. This method extends the NICEM method, a new interface cement using Robin conditions and corresponding to an equilibrated mortar approach (i.e. there is no master and slave sides), to Ventcel conditions which greatly enhance the information exchange between subdomains. We describe the method in the non-conforming discrete case and present the discrete algorithm with Ventcel transmission conditions. Then we illustrate the method with simulations for two and twenty-five subdomains.