Geodesic
Numerical homogenization of well singularities in the flow transport through heterogeneous porous media : fully discrete scheme
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 41 (2007) no. 5, pp. 945-957

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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.

DOI : 10.1051/m2an:2007044
Classification : 65N30, 65N15
Keywords: numerical homogenization, well-driven flow, heterogeneous porous medium, multiscale finite element 
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     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 },
     pages = {945--957},
     publisher = {EDP-Sciences},
     volume = {41},
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     doi = {10.1051/m2an:2007044},
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     zbl = {1140.76437},
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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 , Tome 41 (2007) no. 5, pp. 945-957. doi: 10.1051/m2an:2007044

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