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Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces : a 2D model problem
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Ortner, Christoph and Zhang, Lei (2011) Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces : a 2D model problem. Working Paper. ArXiv e-prints. ArXiv e-prints (No.1110.0168v1).
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Official URL: http://arxiv.org/abs/1110.0168
Abstract
We present a new variant of the geometry reconstruction approach for the formulation of atomistic/continuum coupling methods (a/c methods). For multi-body nearest-neighbour interactions on the 2D triangular lattice, we show that patch test consistent a/c methods can be constructed for arbitrary interface geometries. Moreover, we prove that all methods within this class are first-order consistent at the atomistic/continuum interface and second-order consistent in the interior of the continuum region.
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: | 2 October 2011 | ||||
Dates: |
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Number: | No.1110.0168v1 | ||||
Number of Pages: | 26 | ||||
Status: | Not Peer Reviewed | ||||
Publication Status: | Published | ||||
Funder: | EPSRC | ||||
Related URLs: |
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