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Ghost Force Influence of a Quasicontinuum Method in Two Dimension

Ghost Force Influence of a Quasicontinuum Method in Two Dimension

Year:    2012

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 657–683

Abstract

The error caused by the ghost force is studied for a quasicontinuum method with planar interface in two dimension. For a special case, we derive an analytical expression of the error, which is exploited to prove that the ghost force may lead to a finite size error for the gradient of the solution. The pointwise estimate of the error shows that the error decays algebraically away from the interface, which is much slower than that of the one-dimensional problem, for which the error decays exponentially away from the interface.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jcm.1208-m4191

Journal of Computational Mathematics, Vol. 30 (2012), Iss. 6 : pp. 657–683

Published online:    2012-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    27

Keywords:    Quasicontinuum method Ghost force Interfacial layer.

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