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Volume 15, Issue 3
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

Commun. Comput. Phys., 15 (2014), pp. 647-676.

Published online: 2014-03

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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 $\mathcal{O}$($ε$) and the time scale $\mathcal{O}$(1) with ε being the lattice spacing.

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@Article{CiCP-15-647, author = {Xiantao Li and Pingbing Ming}, title = {On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension}, journal = {Communications in Computational Physics}, year = {2014}, volume = {15}, number = {3}, pages = {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.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.250213.270813a}, url = {http://global-sci.org/intro/article_detail/cicp/7109.html} }
TY - JOUR T1 - On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension AU - Xiantao Li & Pingbing Ming JO - Communications in Computational Physics VL - 3 SP - 647 EP - 676 PY - 2014 DA - 2014/03 SN - 15 DO - http://doi.org/10.4208/cicp.250213.270813a UR - https://global-sci.org/intro/article_detail/cicp/7109.html KW - 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 $\mathcal{O}$($ε$) and the time scale $\mathcal{O}$(1) with ε being the lattice spacing.

Xiantao Li and Pingbing Ming. (2014). On the Effect of Ghost Force in the Quasicontinuum Method: Dynamic Problems in One Dimension. Communications in Computational Physics. 15 (3). 647-676. doi:10.4208/cicp.250213.270813a
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