Improved Interface conditions for 2D domain decomposition with corners: Numerical applications

This article deals with a local improvement of domain decomposition methods for 2-dimensional elliptic problems for which either the geometry or the domain decomposition presents conical singularities. After explaining the main results of the theoreticalanalysis carried out in a former artilce, the numerical experiments presented in this article confirm the optimality properties of the new interface conditions. A MODIFIED VERSION OF THIS PREPRINT HAS BEEN PUBLISHED IN JOURNAL OF SCIENTIFIC COMPUTIN