Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods

Published 17 Apr 2012 in math.NA | (1204.3705v1)

Abstract: 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.

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