Analysis, improvement and limits of the multiscale Latin method

This work studies the convergence properties of mixed non-overlapping domain decomposition method (DDM) commonly named “Latin method”. As all DDM, Latin is sensitive to near-interface heterogeneity and irregularity. Using a simple yet fresh point view, we analyze role Robin parameters as well second level (coarse space) correction — which are characteristic method. In particular, show how build spectrum-motivated coarse space aiming at ensuring fast convergence. 2D 3D linear elasticity problems involving highly heterogeneous materials confirm robustness spectral provide evidence scalability multiscale