TY - JOUR
T1 - Multiscale FEM-FVM Hybrid Method for Convection-Diffusion Equations with Periodic Discontinuous Coef
AU - LIRUI SHEN, LIQUN CAO, AND YAU SHU WONG
JO - International Journal of Numerical Analysis Modeling Series B
VL - 4
SP - 374
EP - 399
PY - 2014
DA - 2014/05
SN - 5
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/ijnamb/241.html
KW - Convection-diffusion equation
KW - convex domain
KW - periodic discontinuous coefficients
KW - composite materials
KW - porous media
KW - multiscale asymptotic expansion
KW - finite element method
KW - finite volume element method
AB - This paper presents the multiscale analysis and numerical algorithms for the convectiondiffusion
equations with rapidly oscillating periodic discontinuous coefficients. The multiscale
asymptotic expansions are developed and an explicit rate of convergence is derived for the convex
domains. An efficient multiscale hybrid FEM-FVM algorithm is constructed, and numerical
experiments are reported to validate the predicted convergence results.