  Among the efficient numerical methods based on atomistic models, the
quasicontinuum (QC) method, introduced by Tadmor, Ortiz, and Phillips (1996),
has attracted growing interest in recent years. Originally, the QC method was
developed for materials with simple crystalline lattice (simple crystals) and
later was extended to complex lattice (Tadmor et al, 1999). In the present
paper we formulate the QC method for complex lattices in a homogenization
framework and perform analysis of such a method in a 1D setting. We also
present numerical examples showing that the convergence results are valid in a
more general setting.
