3 papers
math.NA2019
Robust linear domain decomposition schemes for reduced non-linear fracture flow models
Elyes Ahmed, Alessio Fumagalli, Ana Budiša +3
In this work, we consider compressible single-phase flow problems in a porous media containing a fracture. In the latter, a non-linear pressure-velocity relation is prescribed. Usi…
math.AP2019
Splitting-based domain decomposition methods for two-phase flow with different rock types
Elyes Ahmed
In this paper, we are concerned with the global pressure formulation of immiscible incompressible two-phase flow between different rock types. We develop for this problem two robus…
math.AP2018
Well-posedness of the fully coupled quasi-static thermo-poro-elastic equations with nonlinear convective transport
Mats K. Brun, Elyes Ahmed, Florin A. Radu +1
This paper is concerned with the analysis of the quasi-static thermo-poroelastic model. This model is nonlinear and includes thermal effects compared to the classical quasi-static…