Volume 52, Number 2, March–April 2018
|Page(s)||595 - 630|
|Published online||11 July 2018|
Analysis of a mimetic finite difference approximation of flows in fractured porous media
MOX-Dip. di Matematica Politecnico di Milano,
via Bonardi 9,
* Corresponding author: e-mail: firstname.lastname@example.org
Accepted: 5 May 2017
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.
Mathematics Subject Classification: 65N12 / 65N99 / 76S05
Key words: Flow in porous media / fracture networks / mimetic finite difference
© EDP Sciences, SMAI 2018
Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.
Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.
Initial download of the metrics may take a while.