This work concerns linearization methods for efficiently solving the Richards equation, a
degenerate elliptic-parabolic equation which models flow in saturated/unsaturated porous …

Abstract The Hermitian and skew-Hermitian splitting iteration method (HSS) is commonly an
effective linear iterative method for solving sparse non-Hermite positive definite equations …

In this work, we propose a linearization technique for solving nonlinear elliptic partial
differential equations that are obtained from the time-discretization of a wide variety of …

In this work we consider a mathematical model for two-phase flow in porous media. The
fluids are assumed immiscible and incompressible and the solid matrix non-deformable. The …

In this work, we consider the transport of a surfactant in variably saturated porous media.
The water flow is modelled by the Richards equations and it is fully coupled with the …

The nonlinear systems obtained by discretizing degenerate parabolic equations may be
hard to solve, especially with Newton's method. In this paper, we apply to the Richards …

Flow in variably saturated porous media is typically modeled by the Richards equation, a
nonlinear elliptic-parabolic equation which is notoriously challenging to solve numerically. In …

A modified Gauss-Seidel iterative method (MP (m)-GS) with multistep preconditioner is
developed to solve partial differential equations of rainfall infiltration. The finite difference …

The coupled model of water flow and solute transport in unsaturated soils is addressed in
this study. Building upon previous research findings by Keita, Beljadid, and Bourgault, we …

The Richards equation is a nonlinear parabolic equation that is commonly used for
modelling saturated/unsaturated flow in porous media. We assume that the medium …