@Article{CSIAM-AM-1-4,
author = {Yufang, Huang and Pingbing, Ming and Song, Siqi},
title = {An Efficient Online-Offline Method for Elliptic Homogenization Problems},
journal = {CSIAM Transactions on Applied Mathematics},
year = {2020},
volume = {1},
number = {4},
pages = {664--692},
abstract = {<p style="text-align: justify;">We present a new numerical method for solving the elliptic homogenization
problem. The main idea is that the missing effective matrix is reconstructed by solving
the local least-squares in an offline stage, which shall be served as the input data for
the online computation. The accuracy of the proposed method is analyzed with the
aid of the refined estimates of the reconstruction operator. Two dimensional and three
dimensional numerical tests confirm the efficiency of the proposed method, and illustrate that this online-offline strategy may significantly reduce the cost without loss of
the accuracy.</p>},
issn = {2708-0579},
doi = {https://doi.org/10.4208/csiam-am.2020-0035},
url = {https://global-sci.com/article/82391/an-efficient-online-offline-method-for-elliptic-homogenization-problems}
}