@inproceedings{ca28ea1e706b4fdf9066aa52bc28baa2,
title = "Reliability of atomistic-continuum modeling simulations for problems in molecular statics",
abstract = "The goal-oriented error estimation and adaptivity methodology is extended to problems of molecular statics within the framework of the quasicontinuum approximation for the simulation of a nanoindentation problem. Computable error estimates are developed with respect to a physical quantity of interest, namely the force under the indenter. An adaptive scheme based upon these error estimates is also proposed to control the errors in the nanoindentation simulation within some user-supplied error tolerance. The results are compared with a highly resolved solution of the problem that is considered exact for the purposes of this work. It is shown that the proposed goal-oriented adaptive strategy successfully controls the error in the QCM approximation and allows one to obtain an accurate computation of the quantity of interest.",
keywords = "Adaptive modeling, Goal-oriented error estimation, Multi-scale modeling, Nanoindentation, Quasicontinuum method",
author = "S. Prudhomme and P. Bauman and Oden, {J. T.}",
year = "2005",
language = "English (US)",
isbn = "0976798522",
series = "2005 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2005 Technical Proceedings",
pages = "656--659",
editor = "M. Laudon and B. Romanowicz",
booktitle = "2005 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2005 Technical Proceedings",
note = "2005 NSTI Nanotechnology Conference and Trade Show - NSTI Nanotech 2005 ; Conference date: 08-05-2005 Through 12-05-2005",
}