most citedImplicit linearization method for non-standard two-phase flow in porous media

1 citations · 1 across the 3 of their papers we have counts for

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8 papers

eess.SP2019

Nonlinear State Estimation using Gaussian Integral

Kundan Kumar, Shovan Bhaumik

In this letter, a new filtering technique to solve a nonlinear state estimation problem has been developed. It is well known that for a nonlinear system, the prior and posterior pr…

math.AP2019

A Mixed Approach to the Poisson Problem with Line Sources

Ingeborg G. Gjerde, Kundan Kumar, Jan M. Nordbotten

In this work we consider the primal mixed variational formulation of the Poisson equation with a line source. The analysis and approximation of this problem is non-standard as the…

physics.comp-ph20191 cited

Implicit linearization method for non-standard two-phase flow in porous media

Abay M. Kassa, Kundan Kumar, Sarah E. Gasda +1

In this paper, we consider a non-local (in time) two-phase flow model. The non-locality is introduced through the wettability alteration induced dynamic capillary pressure function…

physics.comp-ph2019

Analysis of dynamic ruptures generating seismic waves in a self-gravitating planet: an iterative coupling scheme and well-posedness

Maarten V. de Hoop, Kundan Kumar, Ruichao Ye

We study the solution of the system of equations describing the dynamical evolution of spontaneous ruptures generated in a prestressed elastic-gravitational deforming body and gove…

eess.IV2019

Automated retinal vessel segmentation based on morphological preprocessing and 2D-Gabor wavelets

Kundan Kumar, Debashisa Samal, Suraj

Automated segmentation of vascular map in retinal images endeavors a potential benefit in diagnostic procedure of different ocular diseases. In this paper, we suggest a new unsuper…

math.NA2019

The gradient flow structures of thermo-poro-visco-elastic processes in porous media

Jakub Wiktor Both, Kundan Kumar, Jan Martin Nordbotten +1

In this paper, the inherent gradient flow structures of thermo-poro-visco-elastic processes in porous media are examined for the first time. In the first part, a modelling framewor…