We derive the optimal energy error estimate for a multiscale finite element method with oversampling technique applied to an elliptic system with rapidly oscillating periodic coefficients under the assumption that the coefficients are bounded and measurable, which may admit rough microstructures. As a byproduct of the energy error estimate, we derive the rate of convergence in the L d/(d - 1) -norm.
Publication:
Multiscale Modeling & Simulation Volume 22, Issue 1 January 10, 2024
https://doi.org/10.1137/22M1511060
Author:
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China, and School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
Email: mpb@lsec.cc.ac.cn
LSEC, Institute of Computational Mathematics and Scientific/Engineering Computing, AMSS, Chinese Academy of Sciences, Beijing, 100190, China, and School of Mathematical Sciences, University of Chinese Academy of Sciences, Beijing, 100049, China
Email: songsq@lsec.cc.ac.cn
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