Stability, Instability, and Error of the Force-based Quasicontinuum Approximation-Reference-Cited by-同舟云学术

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Stability, Instability, and Error of the Force-based Quasicontinuum Approximation

Published:2009-11-19 Issue:1 Volume:197 Page:179-202
ISSN:0003-9527
Container-title:Archive for Rational Mechanics and Analysis
language:en
Short-container-title:Arch Rational Mech Anal

Author:

Dobson Matthew,Luskin Mitchell,Ortner Christoph

Publisher

Springer Science and Business Media LLC

Subject

Mechanical Engineering,Mathematics (miscellaneous),Analysis

Link

http://link.springer.com/content/pdf/10.1007/s00205-009-0276-z.pdf

Reference37 articles.

1. Tadmor E., Ortiz M., Phillips R.: Quasicontinuum analysis of defects in solids. Phil. Mag. A 73(6), 1529–1563 (1996)

2. Miller R., Tadmor E.: The quasicontinuum method: overview, applications and current directions. J. Comput. Aided Mater. Des. 9(3), 203–239 (2002)

3. Knap, J., Ortiz, M.: Effect of indenter-radius size on Au(001) nanoindentation. Phys. Rev. Lett. 90, 226,102 (2003)

4. Gavini V., Bhattacharya K., Ortiz M.: Quasicontinuum orbital-free density-functional theory: a route to multi-million atom non-periodic DFT calculation. J. Mech. Phys. Solids 55, 697–718 (2007)

5. Lu, G., Tadmor, E.B., Kaxiras, E.: From electrons to finite elements: a concurrent multiscale approach for metals. Phys. Rev. B 73, 024,108 (2006)

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