Name
Title | ||
|---|---|---|
Construction and Sharp Consistency Estimates for Atomistic/Continuum Coupling Methods with General Interfaces: A Two-Dimensional Model Problem. |
Abstract | ||
|---|---|---|
We present a new variant of the geometry reconstruction approach for the formulation of atomistic/continuum coupling methods (a/c methods). For many-body nearest-neighbor interactions on the two-dimensional 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. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1137/110851791 | SIAM JOURNAL ON NUMERICAL ANALYSIS |
Keywords | Field | DocType |
atomistic models,quasi-continuum method,coarse graining | Statistical physics,Hexagonal lattice,Mathematical optimization,Coupling,Continuum (design consultancy),Dimensional modeling,Granularity,Mathematics | Journal |
Volume | Issue | ISSN |
50 | 6 | 0036-1429 |
Citations | PageRank | References |
5 | 0.77 | 3 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Christoph Ortner | 1 | 74 | 16.77 |
| Lei Zhang | 2 | 5 | 1.78 |