32 citations · 37 across the 12 of their papers we have counts for
9 papers · 1 filter
Frequency Domain Biot--Allard Equations for Isotropic and Anisotropic Poroelastic Media: Two-field formulations and iterative splitting
Morten Jakobsen, Jakob Seierstad Stokke, Kundan Kumar +1
We present a frequency-domain formulation of Biot's dynamic poroelastic equations with frequency-dependent dissipation (Biot--Allard) for anisotropic, heterogeneous media with memo…
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…
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…
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…
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.…
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…
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…
A fixed-stress type splitting method for nonlinear poroelasticity
Johannes Kraus, Kundan Kumar, Maria Lymbery +1
In this paper we consider a nonlinear poroelasticity model that describes the quasi-static mechanical behaviour of a fluid-saturated porous medium whose permeability depends on the…
A parallel-in-time fixed-stress splitting method for Biot's consolidation model
Manuel Borregales, Kundan Kumar, Florin Adrian Radu +2
In this work, we study the parallel-in-time iterative solution of coupled flow and geomechanics in porous media, modelled by a two-field formulation of the Biot's equations. In par…