On the effect of ghost force in the quasicontinuum method: dynamic problems in one dimension
Xiantao Li, Pingbing Ming
TL;DR
This paper investigates how ghost forces affect the accuracy of the quasicontinuum method in dynamic one-dimensional problems, analyzing error behavior over different time scales.
Contribution
It provides a detailed analysis of the numerical error caused by ghost forces in the quasicontinuum method for dynamic problems in one dimension.
Findings
Error in ({W}^{1, inity}) norm is characterized for different time scales
Ghost forces significantly influence the accuracy of the quasicontinuum method
Error estimates depend on the lattice spacing and time scale
Abstract
Numerical error induced by the "ghost forces" in the quasicontinuum method is studied in the context of dynamic problems. The error in the ({W}^{1,\infty}) norm is analyzed for the time scale (\mc{O}(\eps)) and the time scale (\mc{O}(1)) with being the lattice spacing.
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Taxonomy
TopicsMicrostructure and mechanical properties · Nonlocal and gradient elasticity in micro/nano structures · Elasticity and Material Modeling