TY - JOUR
T1 - Two-Scale FEM for Elliptic Mixed Boundary Value Problems with Small Periodic Coefficients
AU - Chen , Jin-Ru
AU - Cui , Jun-Zhi
JO - Journal of Computational Mathematics
VL - 5
SP - 549
EP - 560
PY - 2001
DA - 2001/10
SN - 19
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jcm/9007.html
KW - Two-scale FEM, Mixed boundary value, Small periodic coefficients.
AB - <p style="text-align: justify;">In this paper, a dual approximate expression of the exact solution for mixed boundary value problems of second order elliptic PDE with small periodic coefficients is proposed. Meanwhile the error estimate of the dual approximate solution is discussed. Finally, a high-low order coupled two-scale finite element method is given, and its approximate error is analysed. &nbsp;</p>