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AuthorJacob Fish, Prashant Nayak and Mark H. Holmes
TitleMicroscale Reduction Error Indicators and Estimators for a Periodic Heterogeneous Medium
Year1993
AbstractQuantification of idealization errors associated with homogenization of periodic heterogeneous medium is presented. The proposed Microscale Reduction Error (MRE) estimators and indicators are based on estimating the uniform validity properties of the double scale asymptotic expansion. The technique leads to a reliable quality control of the microscopic response of interest which is obtained on the basis of the mathematical homogenization theory.