Kundan Kumar

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 13

Top Topics

Stopping Criteria

Convergence Analysis

Poisson Distribution

Top Venues

Comput. Math. Appl.

Appl. Math. Lett.

Publications

Jakob S. Stokke, Morten Jakobsen, Kundan Kumar, Florin A. Radu
A History-dependent Dynamic Biot Model. CoRR (2024)
Tameem Almani, Kundan Kumar
Fixed stress splitting approach for contact problems in a porous medium. CoRR (2024)
Johannes Kraus, Kundan Kumar, Maria Lymbery, Florin Adrian Radu
A fixed-stress type splitting method for nonlinear poroelasticity. CoRR (2023)
Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten
A Mixed Approach to the Poisson Problem with Line Sources. SIAM J. Numer. Anal. 59 (2) (2021)
Kundan Kumar, Svetlana Kyas, Jan Martin Nordbotten, Sergey I. Repin
Guaranteed and computable error bounds for approximations constructed by an iterative decoupling of the Biot problem. Comput. Math. Appl. 91 (2021)
Kundan Kumar, Florian List, Iuliu Sorin Pop, Florin Adrian Radu
Formal upscaling and numerical validation of unsaturated flow models in fractured porous media. J. Comput. Phys. 407 (2020)
Florian List, Kundan Kumar, Iuliu Sorin Pop, Florin Adrian Radu
Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media. SIAM J. Math. Anal. 52 (1) (2020)
Tameem Almani, Kundan Kumar, Gurpreet Singh, Mary F. Wheeler
Stability of multirate explicit coupling of geomechanics with flow in a poroelastic medium. Comput. Math. Appl. 78 (8) (2019)
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu
Anderson accelerated fixed-stress splitting schemes for consolidation of unsaturated porous media. Comput. Math. Appl. 77 (6) (2019)
Manuel Borregales, Kundan Kumar, Florin Adrian Radu, Carmen Rodrigo, Francisco José Gaspar
A partially parallel-in-time fixed-stress splitting method for Biot's consolidation model. Comput. Math. Appl. 77 (6) (2019)
Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten, Florin Adrian Radu
The gradient flow structures of thermo-poro-visco-elastic processes in porous media. CoRR (2019)
Tameem Almani, Kundan Kumar, Abdulrahman Manea
On the Convergence of Flow and Mechanics Iterative Coupling Schemes in Fractured Heterogeneous Poro-Elastic Media. ENUMATH (2019)
Jakub Wiktor Both, Manuel Borregales, Jan Martin Nordbotten, Kundan Kumar, Florin Adrian Radu
Robust fixed stress splitting for Biot's equations in heterogeneous media. Appl. Math. Lett. 68 (2017)
Florin Adrian Radu, Jan Martin Nordbotten, Iuliu Sorin Pop, Kundan Kumar
A robust linearization scheme for finite volume based discretizations for simulation of two-phase flow in porous media. J. Comput. Appl. Math. 289 (2015)
Kundan Kumar, Tameem Almani, Gurpreet Singh, Mary F. Wheeler
Multirate Undrained Splitting for Coupled Flow and Geomechanics in Porous Media. ENUMATH (2015)
Kundan Kumar, Iuliu Sorin Pop, Florin A. Radu
Convergence analysis for a conformal discretization of a model for precipitation and dissolution in porous media. Numerische Mathematik 127 (4) (2014)
Benjamin Ganis, Kundan Kumar, Gergina Pencheva, Mary F. Wheeler, Ivan Yotov
A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model. Multiscale Model. Simul. 12 (4) (2014)
Kundan Kumar, Mary F. Wheeler, Thomas Wick
Reactive Flow and Reaction-Induced Boundary Movement in a Thin Channel. SIAM J. Sci. Comput. 35 (6) (2013)
Kundan Kumar, Iuliu Sorin Pop, Florin Adrian Radu
Convergence Analysis of Mixed Numerical Schemes for Reactive Flow in a Porous Medium. SIAM J. Numer. Anal. 51 (4) (2013)
Kundan Kumar, Tycho L. van Noorden, Mary F. Wheeler, Thomas Wick
An ALE-Based Method for Reaction-Induced Boundary Movement Towards Clogging. ENUMATH (2013)