A review of the XFEM-based approximation of flow in fractured porous media

B Flemisch, A Fumagalli, A Scotti - Advances in Discretization Methods …, 2016 - Springer
This paper presents a review of the available mathematical models and corresponding non-
conforming numerical approximations which describe single-phase fluid flow in a fractured …

A Lagrange multiplier method for a Stokes–Biot fluid–poroelastic structure interaction model

I Ambartsumyan, E Khattatov, I Yotov, P Zunino - Numerische Mathematik, 2018 - Springer
We study a finite element computational model for solving the coupled problem arising in the
interaction between a free fluid and a fluid in a poroelastic medium. The free fluid is …

A numerical method for two-phase flow in fractured porous media with non-matching grids

A Fumagalli, A Scotti - Advances in Water Resources, 2013 - Elsevier
We propose a novel computational method for the efficient simulation of two-phase flow in
fractured porous media. Instead of refining the grid to capture the flow along the faults or …

Dimensional model reduction for flow through fractures in poroelastic media

M Bukač, I Yotov, P Zunino - ESAIM: Mathematical Modelling and …, 2017 - numdam.org
We study the interaction between a poroelastic medium and a fracture filled with fluid. The
flow in the fracture is described by the Brinkman equations for an incompressible fluid and …

A Lagrange multiplier method for a discrete fracture model for flow in porous media

M Köppel, V Martin, J Jaffré, JE Roberts - Computational Geosciences, 2019 - Springer
In this work, we present a novel discrete fracture model for single-phase Darcy flow in
porous media with fractures of co-dimension one, which introduces an additional unknown …