International Journal for Multiscale Computational Engineering

ISSN for PRINT: 1543-1649

For Online Access

Best Paper Award Selection - Editorial Board Site

2006, Volume4

Issue 5-6

271 pages

DOI: 10.1615/IntJMultCompEng.v4.i5-6

Issue price - $256.00

Serge Prudhomme
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712

Paul T. Bauman
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712

J. Tinsley Oden, Professor
Institute for Computational Engineering and Sciences, The University of Texas at Austin, Austin, TX 78712, USA

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.

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

Article price - $35.00

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