Interpolants of Lattice Functions for the Analysis of   Atomistic/Continuum Multiscale Methods
  We introduce a general class of (quasi-)interpolants of functions defined on a Bravais lattice, and establish several technical results for these interpolants that are crucial ingredients in the analysis of atomistic models and atomistic/continuum multi-scale methods. 
C. Ortner and A. V. Shapeev
math.NA