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 …

We present a comprehensive workflow to simulate single-phase flow and transport in
fractured porous media using the discrete fracture matrix approach. The workflow has three …

The accurate description of fluid flow and transport in fractured porous media is of
paramount importance to capture the macroscopic behavior of an oil reservoir, a geothermal …

LifeV is a library for the finite element (FE) solution of partial differential equations in one,
two, and three dimensions. It is written in C++ and designed to run on diverse parallel …

In this paper, we propose an extended mixed finite element method for elliptic interface
problems. By adding some stabilization terms, we present a mixed approximation form …

An efficient SGBEM–FEM framework for predicting transient hydrocarbon production by
coupling transient Darcy flow and channel flow is proposed, which extends the steady state …

We develop a cut finite element method for the Darcy problem on surfaces. The cut finite
element method is based on embedding the surface in a three dimensional finite element …

In this work, we propose a model for the passive transport of a solute in a fractured porous
medium, for which we develop a Hybrid High-Order (HHO) space discretization. We …

In this paper, we present a monolithic multigrid method for the efficient solution of flow
problems in fractured porous media. Specifically, we consider a mixed-dimensional model …

The reliable and optimised design of a drainage system for saturated slopes is often a
challenging geotechnical task. Such a task becomes even more challenging when a slope …