17 citations · 35 across the 8 of their papers we have counts for
8 papers
Modeling the process of speciation using a multi-scale framework including error estimates
Mats K. Brun, Elyes Ahmed, Jan Martin Nordbotten +1
This paper concerns the modeling and numerical simulation of the process of speciation. In particular, given conditions for which one or more speciation events within an ecosystem…
A posteriori error estimates for hierarchical mixed-dimensional elliptic equations
Jhabriel Varela, Elyes Ahmed, Eirik Keilegavlen +2
Mixed-dimensional elliptic equations exhibiting a hierarchical structure are commonly used to model problems with high aspect ratio inclusions, such as flow in fractured porous med…
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…
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…
Monolithic and splitting based solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Mats Kirkesæther Brun, Elyes Ahmed, Inga Berre +2
This paper concerns splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulat…
Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
Elyes Ahmed, Jan Martin Nordbotten, Florin Adrian Radu
In this paper we develop adaptive iterative coupling schemes for the Biot system modeling coupled poromechanics problems. We particularly consider the space-time formulation of the…