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Bibliographic Details
Main Authors: Abdulle, Assyr, Arjmand, Doghonay, Paganoni, Edoardo
Format: Preprint
Published: 2019
Subjects:
Online Access:https://arxiv.org/abs/1901.09758
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Table of Contents:
  • This paper presents two new approaches for finding the homogenized coefficients of multiscale elliptic PDEs. Standard approaches for computing the homogenized coefficients suffer from the so-called resonance error, originating from a mismatch between the true and the computational boundary conditions. Our new methods, based on solutions of parabolic and elliptic cell-problems, result in an exponential decay of the resonance error.