Abstract
This chapter describes a class of computational methods designed to handle multiscale modeling of large atomistic or molecular systems. The key to this approach is the estimation of relative modeling error in which errors in quantities of interest produced by averaging or homogenization are computed using a posteriori error estimates. The error is judged to be the relative error between the fine-scale base model and any number of surrogates produced by homogenization. Features of modeling the atomistic to continuum interface are also addressed. Specific applications of the methodology are described that involve analyzing polymer etch barriers that are used in nano-manufacturing of semi-conductors. The basic adaptive modeling strategy employs goal-oriented adaptation in which fine-scale information is systematically added to hybrid molecular-continuum models until the appropriate level of accuracy in certain quantities of interest is achieved.
Original language | English (US) |
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Title of host publication | Multiscale Methods |
Subtitle of host publication | Bridging the Scales in Science and Engineering |
Publisher | Oxford University Press |
Volume | 9780199233854 |
ISBN (Electronic) | 9780191715532 |
ISBN (Print) | 9780199233854 |
DOIs | |
State | Published - Oct 1 2009 |
Externally published | Yes |
Bibliographical note
Publisher Copyright:© Oxford University Press 2009. All rights reserved.
Keywords
- Adaptive modeling
- Error estimation
- Molecular systems
- Nanomanufacturing
ASJC Scopus subject areas
- General Mathematics