DMCA
Goal-oriented atomistic-continuum adaptivity for the quasicontinuum approximation
Cached
Download Links
| Venue: | International Journal for Multiscale Computational Engineering |
| Citations: | 12 - 4 self |
BibTeX
@ARTICLE{Arndt_goal-orientedatomistic-continuum,
author = {Marcel Arndt and Mitchell Luskin},
title = {Goal-oriented atomistic-continuum adaptivity for the quasicontinuum approximation},
journal = {International Journal for Multiscale Computational Engineering},
year = {},
pages = {2007}
}
Share
 |
 |
 |
 |
||
OpenURL
Abstract
Abstract. We give a goal-oriented a posteriori error estimator for the atomistic-continuum modeling error in the quasicontinuum method, and we use this estimator to design an adaptive algorithm to compute a quantity of interest to a given tolerance by using a nearly minimal number of atomistic degrees of freedom. We present computational results that demonstrate the effectiveness of our algorithm for a periodic array of dislocations described by a Frenkel-Kontorova type model. 1.
