On a parallel implementation of the mortar element method

Abstract

We discuss a parallel implementation of the domain decomposition method based on the macro-hybrid formulation of a second order elliptic equation and on an approximation by the mortar element method. The discretization leads to an algebraic saddle-point problem. An iterative method with a block-diagonal preconditioner is used for solving the saddle-point problem. A parallel implementation of the method is emphasized. Finally the results of numerical experiments are presented.