Title:         Balancing domain decomposition for mortar mixed finite 
               element methods on non-matching grids

Authors:       G. Pencheva and I. Yotov

Source:        Numer. Linear Algebra Appl. 10:1-2 (2003) 159-180

Status:        Published

Abstract: The balancing domain decomposition method for mixed finite
elements by Cowsar, Mandel, and Wheeler is extended to the case of
mortar mixed finite elements on non-matching multiblock grids. The
algorithm involves an iterative solution of a mortar interface problem
with one local Dirichlet solve and one local Neumann solve per
subdomain on each iteration. A coarse solve is used to guarantee that
the Neumann problems are consistent and to provide global exchange of
information across subdomains. Quasi-optimal condition number bounds
are derived, which are independent of the jump in coefficients between
subdomains. Numerical experiments confirm the theoretical results.