6 citations · 6 across the 3 of their papers we have counts for
5 papers
Implicit and semi-implicit second-order time stepping methods for the Richards equation
Keita Sana, Beljadid Abdelaziz, Bourgault Yves
This study concerns numerical methods for efficiently solving the Richards equation where different weak formulations and computational techniques are analyzed. The spatial discret…
Mass-conservative and positivity preserving second-order semi-implicit methods for high-order parabolic equations
Sana Keita, Abdelaziz Beljadid, Yves Bourgault
We consider a class of finite element approximations for fourth-order parabolic equations that can be written as a system of second-order equations by introducing an auxiliary vari…
Efficient second-order semi-implicit finite element method for fourth-order nonlinear diffusion equations
Sana Keita, Abdelaziz Beljadid, Yves Bourgault
We focus here on a class of fourth-order parabolic equations that can be written as a system of second-order equations by introducing an auxiliary variable. We design a novel secon…
A note on the Riemann solutions to the isentropic Euler equations in the vanishing pressure limit
Sana Keita, Yves Bourgault
The behaviour of the solutions to the Riemann problem for the isentropic Euler equations when the pressure vanishes is analysed. It is shown that any solution composed of a 1-shock…
Eulerian droplet model: Delta-shock waves and solution of the Riemann problem
Sana Keita, Yves Bourgault
We study an Eulerian droplet model which can be seen as the pressureless gas system with a source term, a subsystem of this model and the inviscid Burgers equation with source term…