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Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme

Published online by Cambridge University Press:  23 October 2007

Meiqun Jiang  and
Xingye Yue
Meiqun Jiang
Affiliation:
Department of Mathematics, Suzhou University, Suzhou 215006, China. [email protected]
Xingye Yue
Affiliation:
Department of Mathematics, University of Science and Technology of China, Hefei 230026, China. [email protected]
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Abstract

Motivated by well-driven flow transport in porous media, Chenand Yue proposed a numerical homogenization method for Greenfunction [Multiscale Model. Simul.1 (2003) 260–303]. In that paper,the authors focused on the well pore pressure, so the local erroranalysis in maximum norm was presented. As a continuation, we willconsider a fully discrete scheme and its multiscale error analysis on the velocity field.

Keywords

Numerical homogenizationwell-driven flowheterogeneousporous mediummultiscale finite element.
Type
Research Article
Information
ESAIM: Mathematical Modelling and Numerical Analysis , Volume 41 , Issue 5 , September 2007 , pp. 945 - 957
Copyright
© EDP Sciences, SMAI, 2007

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