On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension

On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension

Year:    2014

Communications in Computational Physics, Vol. 15 (2014), Iss. 3 : pp. 647–676

Abstract

Numerical error caused by "ghost forces" in a quasicontinuum method is studied in the context of dynamic problems. The error in the discrete W1,∞ norm is analyzed for the time scale $\mathcal{O}$($ε$) and the time scale $\mathcal{O}$(1) with ε being the lattice spacing.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/cicp.250213.270813a

Communications in Computational Physics, Vol. 15 (2014), Iss. 3 : pp. 647–676

Published online:    2014-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    30

Keywords: