On the effect of ghost force in the quasicontinuum method: Dynamic problems in one dimension

Xiantao Li; Pingbing Ming

doi:10.4208/cicp.250213.270813a

On the effect of ghost force in the quasicontinuum method: Dynamic problems in one dimension

Xiantao Li
, Pingbing Ming

Research output: Contribution to journal › Article › peer-review

10 Scopus citations

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 O(å) and the time scale O(7sigma;) with å being the lattice spacing.

Original language	English (US)
Pages (from-to)	647-676
Number of pages	30
Journal	Communications in Computational Physics
Volume	15
Issue number	3
DOIs	https://doi.org/10.4208/cicp.250213.270813a
State	Published - Mar 2014

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.4208/cicp.250213.270813a

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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 O({\aa}) and the time scale O(7sigma;) with {\aa} being the lattice spacing.",

author = "Xiantao Li and Pingbing Ming",

year = "2014",

month = mar,

doi = "10.4208/cicp.250213.270813a",

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T2 - Dynamic problems in one dimension

AU - Li, Xiantao

AU - Ming, Pingbing

PY - 2014/3

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N2 - 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 O(å) and the time scale O(7sigma;) with å being the lattice spacing.

AB - 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 O(å) and the time scale O(7sigma;) with å being the lattice spacing.

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UR - https://www.scopus.com/pages/publications/84892391746#tab=citedBy

U2 - 10.4208/cicp.250213.270813a

DO - 10.4208/cicp.250213.270813a

M3 - Article

AN - SCOPUS:84892391746

SN - 1815-2406

VL - 15

SP - 647

EP - 676

JO - Communications in Computational Physics

JF - Communications in Computational Physics

IS - 3

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On the effect of ghost force in the quasicontinuum method: Dynamic problems in one dimension

Abstract

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