ANALYSIS OF A MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA

Keywords

Advanced Numerical Methods for Scientific Computing
Code:
49/2016
Title:
ANALYSIS OF A MIMETIC FINITE DIFFERENCE APPROXIMATION OF FLOWS IN FRACTURED POROUS MEDIA
Date:
Wednesday 23rd November 2016
Author(s):
Formaggia, L.; Scotti, A.; Sottocasa, F.
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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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Mathematical Modelling and Numerical Analysis