Blar i Department of Mathematics på forfatter "Ahmed, Elyes"
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Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems
Ahmed, Elyes; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)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 fixed-stress iterative scheme, in which ... -
Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport
Brun, Mats Kirkesæther; Ahmed, Elyes; Berre, Inga; Nordbotten, Jan Martin; Radu, Florin Adrian (Journal article; Peer reviewed, 2020)This paper concerns monolithic and splitting-based iterative procedures for the coupled nonlinear thermo-poroelasticity model problem. The thermo-poroelastic model problem we consider is formulated as a three-field system ... -
A multiscale flux basis for mortar mixed discretizations of reduced Darcy-Forchheimer fracture models
Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana (Peer reviewed; Journal article, 2019-05-27)In this paper, a multiscale flux basis algorithm is developed to efficiently solve a flow problem in fractured porous media. Here, we take into account a mixed-dimensional setting of the discrete fracture matrix model, ... -
Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models
Ahmed, Elyes; Fumagalli, Alessio; Budisa, Ana; Keilegavlen, Eirik; Nordbotten, Jan Martin; Radu, Adrian Florin (Journal article; Peer reviewed, 2021)In this work, we consider compressible single-phase flow problems in a porous medium containing a fracture. In the fracture, a nonlinear pressure-velocity relation is prescribed. Using a non-overlapping domain decomposition ... -
Well-posedness of the fully coupled quasi-static thermo-poroelastic equations with nonlinear convective transport
Brun, Mats Kirkesæther; Radu, Florin Adrian; Ahmed, Elyes; Nordbotten, Jan Martin (Peer reviewed; Journal article, 2019-03)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 poroelastic model (also known as Biot's ...