Numerical homogenization of well singularities in the flow transport through heterogeneous porous media: fully discrete scheme
Department of Mathematics,
Suzhou University, Suzhou 215006, China. firstname.lastname@example.org
2 Department of Mathematics, University of Science and Technology of China, Hefei 230026, China. email@example.com
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