| Issue |
ESAIM: M2AN
Volume 41, Number 5, September-October 2007
|
|
|---|---|---|
| Page(s) | 945 - 957 | |
| DOI | https://doi.org/10.1051/m2an:2007044 | |
| Published online | 23 October 2007 | |
Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme
1
Department of Mathematics,
Suzhou University, Suzhou 215006, China. mqjiang@suda.edu.cn
2
Department of Mathematics, University of Science and Technology of China, Hefei 230026, China. xyyue@ustc.edu.cn
Received:
15
June
2006
Revised:
7
March
2007
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.
Mathematics Subject Classification: 65N30 / 65N15
Key words: Numerical homogenization / well-driven flow / heterogeneous porous medium / multiscale finite element.
© EDP Sciences, SMAI, 2007
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.