Motivated by well-driven flow transport in porous media, Chen and Yue proposed a numerical homogenization method for Green function [Multiscale Model. Simul. 1 (2003) 260-303]. In that paper, the authors focused on the well pore pressure, so the local error analysis in maximum norm was presented. As a continuation, we will consider a fully discrete scheme and its multiscale error analysis on the velocity field.
@article{M2AN_2007__41_5_945_0,
author = {Jiang, Meiqun and Yue, Xingye},
title = {Numerical homogenization of well singularities in the flow transport through heterogeneous porous media : fully discrete scheme},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {41},
year = {2007},
pages = {945-957},
doi = {10.1051/m2an:2007044},
mrnumber = {2363890},
zbl = {1140.76437},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_2007__41_5_945_0}
}
Jiang, Meiqun; Yue, Xingye. Numerical homogenization of well singularities in the flow transport through heterogeneous porous media : fully discrete scheme. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 41 (2007) pp. 945-957. doi : 10.1051/m2an:2007044. http://gdmltest.u-ga.fr/item/M2AN_2007__41_5_945_0/
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