@Article{CiCP-27-198,
author = {Liao , MingjieLin , Ping and Zhang , Lei},
title = {A Posteriori Error Estimate and Adaptive Mesh Refinement Algorithm for Atomistic/Continuum Coupling with Finite Range Interactions in Two Dimensions},
journal = {Communications in Computational Physics},
year = {2019},
volume = {27},
number = {1},
pages = {198--226},
abstract = {<p style="text-align: justify;">In this paper, we develop the residual based a posteriori error estimates
and the corresponding adaptive mesh refinement algorithm for atomistic/continuum
(a/c) coupling with finite range interactions in two dimensions. We have systematically derived a new explicitly computable stress tensor formula for finite range interactions. In particular, we use the geometric reconstruction based consistent atomistic/continuum (GRAC) coupling scheme, which is quasi-optimal if the continuum
model is discretized by P<sup>1</sup> finite elements. The numerical results of the adaptive mesh
refinement algorithm is consistent with the quasi-optimal a priori error estimates.</p>},
issn = {1991-7120},
doi = {https://doi.org/10.4208/cicp.OA-2018-0169},
url = {http://global-sci.org/intro/article_detail/cicp/13319.html}
}