6 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…
Convergent adaptive iterative schemes for solving multi-physics problems
Jakob S. Stokke, Kundan Kumar, Florin A. Radu
In this paper, we derive a practical, general framework for creating adaptive iterative (linearization or splitting) algorithms to solve multi-physics problems. This means that, gi…
Parareal algorithm for coupled elliptic-parabolic problems
Iñigo Jimenez-Ciga, Francisco Gaspar, Kundan Kumar +1
We present a convergence analysis of the parallel-in-time integration method known as the Parareal algorithm for degenerate differential-algebraic systems arising from quasi-static…
An efficient preconditioner for mixed-dimensional contact poromechanics based on the fixed stress splitting scheme
Yury Zabegaev, Inga Berre, Eirik Keilegavlen +1
Numerical simulation of fracture contact poromechanics is essential for various applications, including CO2 sequestration, geothermal energy production and underground gas storage.…
A History-dependent Dynamic Biot Model
Jakob S. Stokke, Morten Jakobsen, Kundan Kumar +1
In this work, we consider a fully dynamic Biot model that includes memory effects due to evolving permeability. Time integrals are used to account for the change in structure. We p…
Fixed stress splitting approach for contact problems in a porous medium
Tameem Almani, Kundan Kumar
We consider a poromechanics model including frictionless contact mechanics. The resulting model consists of the Biot equations with contact boundary conditions leading to a variati…