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

math.NA

/ Authors

/ 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.

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

math.NA

/ Authors

C. Ortner, A. V. Shapeev

/ 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.