Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods
Numerical Analysis
2012-04-18 v1
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.
Keywords
Cite
@article{arxiv.1204.3705,
title = {Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods},
author = {C. Ortner and A. V. Shapeev},
journal= {arXiv preprint arXiv:1204.3705},
year = {2012}
}