  In this paper we consider Schwarz domain decomposition applied to the
generation of 2D spatial meshes by a local equidistribution principle. We
briefly review the derivation of the local equidistribution principle and the
appropriate choice of boundary conditions. We then introduce classical and
optimized Schwarz domain decomposition methods to solve the resulting system of
nonlinear equations. The implementation of these iterations are discussed, and
we conclude with numerical examples to illustrate the performance of the
approach.
