Inscrição na biblioteca: Guest
Portal Digital Begell Biblioteca digital da Begell eBooks Diários Referências e Anais Coleções de pesquisa
International Journal for Multiscale Computational Engineering
Fator do impacto: 1.016 FI de cinco anos: 1.194 SJR: 0.452 SNIP: 0.68 CiteScore™: 1.18

ISSN Imprimir: 1543-1649
ISSN On-line: 1940-4352

International Journal for Multiscale Computational Engineering

DOI: 10.1615/IntJMultCompEng.v4.i5-6.60
pages 647-662

Error Control for Molecular Statics Problems

Serge Prudhomme
The University of Texas at Austin
Paul T. Bauman
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712
J. Tinsley Oden
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA

RESUMO

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.


Articles with similar content:

STOCHASTIC SAMPLING BASED BAYESIAN MODEL UPDATING WITH INCOMPLETE MODAL DATA
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 3
Sai Hung Cheung, Sahil Bansal
Parameter Estimation Algorithm of the Linear Regression with Bounded Noise in Measurements of All Variables
Journal of Automation and Information Sciences, Vol.45, 2013, issue 4
Sergey V. Siryk, Nikolay N. Salnikov
FORWARD AND INVERSE UNCERTAINTY QUANTIFICATION USING MULTILEVEL MONTE CARLO ALGORITHMS FOR AN ELLIPTIC NONLOCAL EQUATION
International Journal for Uncertainty Quantification, Vol.6, 2016, issue 6
Ajay Jasra, Yan Zhou, Kody J. H. Law
Estimation of Parameters in Linear Multidimensional Systems under Interval Uncertainty
Journal of Automation and Information Sciences, Vol.38, 2006, issue 2
Boris T. Polyak, Sergey A. Nazin
COMPARISON OF MULTIRESOLUTION CONTINUUM THEORY AND NONLOCAL DAMAGE MODEL FOR USE IN SIMULATION OF MANUFACTURING PROCESSES
International Journal for Multiscale Computational Engineering, Vol.14, 2016, issue 1
Hao Qin, Lars-Erik Lindgren, Olufunminiyi Abiri