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This paper studies numerical methods for accurate treatment of the interfacebetween the local and the nonlocal region in a QC approximation of atomisticmaterials. Only the energy-based methods are considered. Particularly, aquasicontinuum projection (QCP) method based on the idea of finite elements isshown to be accurate and efficient for this problem. We analyse the QCP methodand study its relation to the existing methods, such as the quasinonlocalquasicontinuum method and the geometrically consistent reconstruction-basedmethod. The analysis and the results of numerical tests confirm that theprojection-based QC method successfully removes the ghost force with the samecomputational cost as the other methods. In all computed examples the error ofQCP is either the same or lower as the error of the other methods. Theperformance of these methods in treating interfaces of elements in the localregion is also examined.

Energy-based ghost force removing techniques for the quasicontinuum method