RT Journal Article ID 75453a8c5a4ed8b4 A1 Prudhomme, Serge A1 Bauman, Paul T. A1 Oden, J. Tinsley T1 Error Control for Molecular Statics Problems JF International Journal for Multiscale Computational Engineering JO JMC YR 2006 FD 2007-02-08 VO 4 IS 5-6 SP 647 OP 662 AB In this paper, we present an extension of goal-oriented error estimation and adaptation to the simulation of multiscale problems of molecular statics. Computable error estimates for the quasicontinuum method are developed with respect to specific quantities of interest, and an adaptive strategy based on these estimates is proposed for error control. The theoretical results are illustrated on a nanoindentation problem in which the quantity of interest is the force acting on the indenter. The promising capability of such error estimates and adaptive procedure for the solution of multiscale problems is demonstrated on numerical examples. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,1b4adbb73e2792e0,75453a8c5a4ed8b4.html