Error estimate for a stabilised domain decomposition method with nonmatching grids
The paper concerns a domain decomposition method for solving elliptic partial differential equations discretised by the finite element method with nonmatching grids. The author analyses a stabilization technique for so-called three-field formulation for nonoverlapping domain decomposition methods. The stabilization is based on boundary bubble functions in each subdomain which are then eliminated by static condensation. The discretization grids in the subdomains can be chosen independently as well as the grid for the final interface problem. An analysis of the method and a construction of the set of bubble functions which guarantees the optimal rate of convergence are also presented.
scientific article; zbMATH DE number 1742791