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A numerical upscaling method for an elliptic equation with heterogeneous tensorial coefficients
Author(s) -
Luce Robert,
Perez Sylvie
Publication year - 2002
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.441
Subject(s) - classification of discontinuities , finite volume method , mathematics , numerical analysis , scale (ratio) , permeability (electromagnetism) , mathematical analysis , mechanics , physics , quantum mechanics , membrane , biology , genetics
The aim of this paper is to develop a new numerical method to determine the effective permeability on a coarse scale level of problems with strongly heterogeneous tensorial coefficients defined on a fine scale. This method stems from a primal–dual mixed formulation and the upscaled permeability is obtained by imposing the continuity of the numerical flux across the lines of discontinuities. Moreover, a finite volume scheme is built to numerically solve elliptic equations with this kind of coefficients. Finally, the method is illustrated by several numerical experiments. Copyright © 2002 John Wiley & Sons, Ltd.