7 papers · 1 filter
Numerical analysis of the Biot equations coupled to frictional contact mechanics
Marius Nevland, Kundan Kumar, Inga Berre +2
We consider a mathematical model of a poro-visco-elastic medium subject to frictional contact with a rigid obstacle, and study its numerical approximation. This model couples the B…
Augmented Lagrangian Solvers for Poroelasticity with Fracture Contact Mechanics
Marius Nevland, Inga Berre, Jakub Wiktor Both +1
In the subsurface, fractures and the surrounding porous rock can deform in interaction with fluid flow. Advanced mathematical models governing these coupled processes typically com…
A posteriori error estimates for mixed-dimensional Darcy flow using non-matching grids
Jhabriel Varela, Christian E. Schaerer, Eirik Keilegavlen +1
In this article, we extend the a posteriori error estimates for hierarchical mixed-dimensional elliptic equations developed in [Varela et al., J. Numer. Math., 48 (2023), pp. 247-2…
Data-driven linear solver selection and performance tuning for multiphysics simulations in porous media
Yury Zabegaev, Inga Berre, Eirik Keilegavlen
Modeling multiphysics processes in porous media requires preconditioned iterative linear solvers to enable efficient simulations at industry-relevant scales. These solvers are typi…
A block preconditioner for thermo-poromechanics with frictional deformation of fractures
Yury Zabegaev, Inga Berre, Eirik Keilegavlen
The numerical modeling of fracture contact thermo-poromechanics is crucial for advancing subsurface engineering applications, including CO2 sequestration, production of geo-energy…
Two-point stress approximation: A simple and robust finite volume method for linearized (poro-)mechanics and Stokes flow
Jan Martin Nordbotten, Eirik Keilegavlen
In this paper, we construct a simple and robust two-point finite volume discretization applicable to isotropic linearized elasticity, valid in also in the incompressible Stokes' li…