Preconditioning techniques for the numerical solution of flow in fractured porous media

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Code:
17/2019
Title:
Preconditioning techniques for the numerical solution of flow in fractured porous media
Date:
Sunday 2nd June 2019
Author(s):
Antonietti,P.F.; De Ponti, J.; Formaggia, L.; Scotti, A.
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Abstract:
This work deals with the efficient iterative solution of the system of equations stemming from mimetic finite difference discretization of a hybrid-dimensional mixed Darcy problem modeling flow in fractured porous media. We investigate the spectral properties of a mixed discrete formulation based on mimetic finite differences for flow in the bulk matrix and finite volumes for the fractures, and propose of a class of preconditioning techniques to accelerate convergence of iterative solvers applied to the resulting discrete system. Numerical tests on significant three dimensional cases have assessed the properties of the proposed procedures.
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Journal of Scientific Computing