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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. ArXiv e-prints (No.1204.3705v1).
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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) | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Series Name: | ArXiv e-prints | ||||
Publisher: | ArXiv e-prints | ||||
Official Date: | 17 April 2012 | ||||
Dates: |
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Number: | No.1204.3705v1 | ||||
Number of Pages: | 14 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Funder: | EPSRC | ||||
Grant number: | EP/H003096 | ||||
Related URLs: |
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