RT Journal Article ID 4b3565ea1fa760af A1 Arndt, Marcel A1 Luskin, Mitchell T1 Goal-oriented Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation JF International Journal for Multiscale Computational Engineering JO JMC YR 2007 FD 2007-12-13 VO 5 IS 5 SP 407 OP 415 AB 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. PB Begell House LK https://www.dl.begellhouse.com/journals/61fd1b191cf7e96f,4883346404604d91,4b3565ea1fa760af.html