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Interpolants of lattice functions for the analysis of atomistic/continuum multiscale methods

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Ortner, Christoph and Shapeev, A. V. (2012) Interpolants of lattice functions for the analysis of atomistic/continuum multiscale methods. Working Paper. ArXiv e-prints.

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Official URL: http://arxiv.org/pdf/1204.3705v1.pdf

Abstract

We introduce a general class of (quasi-)interpolants of functions defi�ned 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.

Item Type: Working or Discussion Paper (Working Paper)
Subjects: Q Science > QA Mathematics
Divisions: Faculty of Science > Mathematics
Series Name: ArXiv e-prints
Publisher: ArXiv e-prints
Date: 17 April 2012
Number: No.1204.3705v1
Number of Pages: 14
Status: Not Peer Reviewed
Publication Status: Published
Access rights to Published version: Open Access
Funder: EPSRC
Grant number: EP/H003096
Related URLs:
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URI: http://wrap.warwick.ac.uk/id/eprint/48650

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