TY - JOUR
T1 - Multiscale Analysis and Computation for Parabolic Equations with Rapidly Oscillating Coefficients in
AU - LIQUN CAO, FANGMAN ZHAI, AND YAU SHU WONG
JO - International Journal of Numerical Analysis Modeling Series B
VL - 1
SP - 50
EP - 79
PY - 2013
DA - 2013/04
SN - 4
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/246.html
KW - Parabolic equation with rapidly oscillating coefficients
KW - homogenization
KW - multiscale analysis
KW - finite element method
AB - This paper presents the multiscale analysis and computation for parabolic equations with rapidly oscillating coefficients in general domains. The major contributions of this study are
twofold. First, we define the boundary layer solution and the convergence rate with &#949^{1/2} for the
multiscale asymptotic solutions in general domains. Secondly, a highly accurate computational
algorithm is developed. Numerical simulations are then carried out to validate the theoretical
results.