Kundan Kumar

Orcid: 0000-0002-3784-4819

Affiliations:
  • University of Bergen, Department of Mathematics, Norway
  • Karlstad University, Department of Mathematics, Sweden
  • University of Texas at Austin, ICES, TX, USA
  • Technische Universiteit Eindhoven, CASA, Department of Mathematics and Computer Sciences, The Netherlands (PhD 2012)


According to our database1, Kundan Kumar authored at least 21 papers between 2011 and 2024.

Collaborative distances:
  • Dijkstra number2 of four.
  • Erdős number3 of four.

Timeline

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Bibliography

2024
A History-dependent Dynamic Biot Model.
CoRR, 2024

2023
A fixed-stress type splitting method for nonlinear poroelasticity.
CoRR, 2023

2021
A Mixed Approach to the Poisson Problem with Line Sources.
SIAM J. Numer. Anal., 2021

Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem.
Comput. Math. Appl., 2021

2020
Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media.
SIAM J. Math. Anal., 2020

Formal upscaling and numerical validation of unsaturated flow models in fractured porous media.
J. Comput. Phys., 2020

2019
The gradient flow structures of thermo-poro-visco-elastic processes in porous media.
CoRR, 2019

Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media.
Comput. Math. Appl., 2019

A partially parallel-in-time fixed-stress splitting method for Biot's consolidation model.
Comput. Math. Appl., 2019

Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium.
Comput. Math. Appl., 2019

On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media.
Proceedings of the Numerical Mathematics and Advanced Applications ENUMATH 2019 - European Conference, Egmond aan Zee, The Netherlands, September 30, 2019

2017
Robust fixed stress splitting for Biot's equations in heterogeneous media.
Appl. Math. Lett., 2017

2015
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media.
J. Comput. Appl. Math., 2015

Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2015, 2015

2014
Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media.
Numerische Mathematik, 2014

A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model.
Multiscale Model. Simul., 2014

2013
Reactive Flow and Reaction-Induced Boundary Movement in a Thin Channel.
SIAM J. Sci. Comput., 2013

Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium.
SIAM J. Numer. Anal., 2013

A multiscale domain decomposition approach for chemical vapor deposition.
J. Comput. Appl. Math., 2013

An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging.
Proceedings of the Numerical Mathematics and Advanced Applications - ENUMATH 2013, 2013

2011
Effective Dispersion Equations for Reactive Flows Involving Free Boundaries at the Microscale.
Multiscale Model. Simul., 2011


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