The Library
Construction and sharp consistency estimates for atomistic/continuum coupling methods with general interfaces : a 2D model problem
Tools
Tools
Tools
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.
Full text not available from this repository.
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) |
|---|---|
| Subjects: | Q Science > QA Mathematics |
| Divisions: | Faculty of Science > Mathematics |
| Series Name: | ArXiv e-prints |
| Publisher: | ArXiv e-prints |
| Date: | 2 October 2011 |
| Number: | No.1110.0168v1 |
| Number of Pages: | 26 |
| Status: | Not Peer Reviewed |
| Publication Status: | Published |
| Funder: | EPSRC |
| Related URLs: | |
| URI: | http://wrap.warwick.ac.uk/id/eprint/48633 |
Actions (login required)
 |
View Item |
