(1998) Alonso, Ana; Trotta, Rosa Loredana; Valli, Alberto
Two families of non-overlapping coercive domain decomposition methods
are proposed for the numerical approximation of advection dominated advection-diffusion
equations and systems. Convergence is proven for both the continuous and the discrete
problem. The rate of convergence of the first method is shown to be independent of
the number of degrees of freedom. Several numerical results are presented, showing the
efficiency and robustness of the proposed iterative algorithms.