activity
20152026
most citedMass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations

6 citations · 12 across the 15 of their papers we have counts for

collaborators
Showing 2026Show all

2 papers · 1 filter

math.NA2026

Discrete positivity and maximum principles for a finite element discretization of the Richards equation

Abderrahmane Benfanich, Yves Bourgault, Abdelaziz Beljadid

Standard finite element discretizations of the Richards equation may violate the discrete minimum principle, producing unphysical negative saturations. While existing bound-preserv…

math.AP2026

Mathematical analysis for a doubly degenerate parabolic equation: Application to the Richards equation

Abderrahmane Benfanich, Yves Bourgault, Abdelaziz Beljadid

This paper presents a mathematical analysis of a doubly degenerate parabolic equation and its application to the Richards equation using a bounded auxiliary variable. We establish…