Numerical Methods for Processes in Fractured Porous Media

A stabilized Lagrange multiplier finite-element method for flow in porous media with fractures.- A cut finite element method for elliptic bulk problems with embedded surfaces.- A Hybrid High-Order method for passive transport in fractured porous media.- Advanced computation of steady-state fluid flow in Discrete Fracture-Matrix models: FEM-BEM and VEM-VEM fracture-block coupling.- Two-phase Discrete Fracture Matrix models with linear and nonlinear transmission conditions.- A hybrid-dimensional discrete fracture model for non-isothermal two-phase flow in fractured porous media.- Mathematical analysis, finite element approximation and numerical solvers for the interaction of 3D reservoirs with 1D wells.- Fast and robust flow simulations in discrete fracture networks with GPGPUs.- Flow and transport in fractured poroelastic media.- Phase-field modeling through iterative splitting of hydraulic fractures in a poroelastic medium.- Numerical aspects of hydro-mechanical coupling of fluid-filled fractures using hybrid-dimensional element formulations and non-conformal meshes.- Comparative verification of discrete and smeared numerical approaches for the simulation of hydraulic fracturing.