Library Subscription: Guest
Begell Digital Portal Begell Digital Library eBooks Journals References & Proceedings Research Collections
International Journal for Multiscale Computational Engineering
IF: 1.016 5-Year IF: 1.194 SJR: 0.554 SNIP: 0.68 CiteScore™: 1.18

ISSN Print: 1543-1649
ISSN Online: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v5.i5.40
pages 407-415

Goal-oriented Atomistic-Continuum Adaptivity for the Quasicontinuum Approximation

Marcel Arndt
School of Mathematics, University of Minnesota, 206 Church St., SE Minneapolis, MN 55455, USA
Mitchell Luskin
University of Minnesota

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.


Articles with similar content:

A FULLY ADAPTIVE INTERPOLATED STOCHASTIC SAMPLING METHOD FOR LINEAR RANDOM PDES
International Journal for Uncertainty Quantification, Vol.7, 2017, issue 3
Johannes Neumann, John Schoenmakers, Martin Eigel, Felix Anker, Christian Bayer
Adaptive Multiwavelet-Hierarchical Method for Multiscale Computation
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 4
Youming Wang, Zhengjia He, Xuefeng Chen
AN ADAPTIVE FINITE ELEMENT MULTIWAVELET-BASED METHOD FOR ELASTIC PLATE PROBLEMS
International Journal for Multiscale Computational Engineering, Vol.12, 2014, issue 3
Youming Wang, Yongqing Fan, Qing Wu
Toward Two-Scale Adaptive FEM Modeling of Nonlinear Heterogeneous Materials
International Journal for Multiscale Computational Engineering, Vol.8, 2010, issue 3
Marta Serafin, Witold Cecot
REFINED LATINIZED STRATIFIED SAMPLING: A ROBUST SEQUENTIAL SAMPLE SIZE EXTENSION METHODOLOGY FOR HIGH-DIMENSIONAL LATIN HYPERCUBE AND STRATIFIED DESIGNS
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 1
Michael D. Shields