20 citations · 20 across the 4 of their papers we have counts for
5 papers
Unified convergence analysis of numerical schemes for a miscible displacement problem
Jérôme Droniou, Robert Eymard, Alain Prignet +1
This article performs a unified convergence analysis of a variety of numerical methods for a model of the miscible displacement of one incompressible fluid by another through a por…
Analysis of miscible displacement through porous media with vanishing molecular diffusion and singular wells
Jerome Droniou, Kyle S. Talbot
This article proves the existence of solutions to a model of incompressible miscible displacement through a porous medium, with zero molecular diffusion and modelling wells by spat…
Uniform temporal convergence of numerical schemes for incompressible miscible displacement
Kyle S. Talbot
The Hybrid Mimetic Mixed (HMM) family of discretisations includes the Hybrid Finite Volume method, the Mimetic Finite Difference method and the Mixed Finite Volume method. This not…
Convergence in of weak solutions to perturbed doubly degenerate parabolic equations
Jérôme Droniou, Robert Eymard, Kyle S. Talbot
We study the behaviour of solutions to a class of nonlinear degenerate parabolic problems when the data are perturbed. The class includes the Richards equation, Stefan problem and…
On a miscible displacement model in porous media flow with measure data
Jerome Droniou, Kyle S. Talbot
We establish the existence of a solution to a non-linearly coupled elliptic-parabolic system of PDEs describing the single-phase, miscible displacement of one incompressible fluid…