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We present a posteriori error estimates for a recently developedatomistic/continuum coupling method, the Consistent Energy-Based QC Couplingmethod. The error estimate of the deformation gradient combines a residualestimate and an a posteriori stability analysis. The residual is decomposedinto the residual due to the approximation of the stored energy and that due tothe approximation of the external force, and are bounded in negative Sobolevnorms. In addition, the error estimate of the total energy using the errorestimate of the deformation gradient is also presented. Finally, numericalexperiments are provided to illustrate our analysis.

A Posteriori Error Estimates for Energy-Based Quasicontinuum Approximations of a Periodic Chain