A Neumann-Neumann algorithm for a mortar discretization of elliptic problems with discontinuous coefficients (Q1770239)

The aim of this paper is to generalize the method to solving a mortar finite element discretization of elliptic problems with discontinuous coefficients in the three dimensional case. A Neumann-Neumann algorithm is designed and analyzed for the resulting discretization using the abstract theory of additive Schwarz methods. The author show that the estimate for the rate of convergence of the iteration is as good as for the conforming case and that it is independent of the jumps of the coefficients between the regions. An algorithm for parallel computation is given.