Interpolants of Lattice Functions for the Analysis of Atomistic/Continuum Multiscale Methods
arXiv:1204.370529 citationsh-index: 40
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Provides foundational mathematical tools for researchers working on multiscale methods in materials science or computational physics.
The paper introduces a general class of (quasi-)interpolants for functions on Bravais lattices and establishes technical results essential for analyzing atomistic models and 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.