Stability of Energy Transfer in the Weak Coupling Method

In this paper we are concerned with a weak coupling technique for the concurrent simulation of multiscale phenomena. In particular we focus on the construction of an initial embedding of discrete atomic data fields in an appropriate subspace HN (Ω) ⊂ L(Ω) which provides the foundation for the proposed coupling technique in a function space setting. Thus, we must consider the regularity of the coupling information and the stability of the resulting basis.