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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| Status: | Not Peer Reviewed |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: | |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48650 |
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