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Analysis of a mimetic finite difference approximation of flows in fractured porous media

Luca Formaggia, Anna Scotti, Federica Sottocasa

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Source: Crossref

Published: Mar 1, 2018

DOI: 10.1051/m2an/2017028

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Source abstract

We consider the mixed formulation for Darcy’s flow in fractured media. We give a well-posedness result that does not rely on the imposition of pressure in part of the boundary of the fracture network, thus including a fully immersed fracture network. We present and analyze a mimetic finite difference formulation for the problem, providing convergence results and numerical tests.

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Analysis of a mimetic finite difference approximation of flows in fractured porous media — Mathematical Frontier Network