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.