Výsledky vyhledávání

Modeling the Process of Speciation Using a Multiscale Framework Including A Posteriori Error Estimates

Autor: Mats K. Brun, Elyes Ahmed, Jan M. Nordbotten, Nils Chr

Publikováno v: SIAM Journal on Applied Mathematics

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 occur, our aim is to develop the necessary modeling and simulation too

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4089cb0bac7cbe4d982ad4da817c4782
https://doi.org/10.1137/21m1405228

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Adaptive Time Stepping, Linearization and a Posteriori Error Control for Multiphase Flow with Wells

Autor: Øystein Strengehagen Klemetsdal, Olav Møyner, Elyes Ahmed, Xavier Raynaud, Halvor Møll Nilsen

Publikováno v: Day 1 Tue, October 26, 2021.

We present in this paper a-posteriori error estimators for multiphase flow with singular well sources. The estimators are fully and locally computable, distinguish the various error components, and target the singular effects of wells. On the basis o

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::c5bed513a703699bbace1fb5460947c6
https://doi.org/10.2118/203974-ms

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Adaptive poromechanics computations based on a posteriori error estimates for fully mixed formulations of Biot’s consolidation model

Autor: Florin Adrian Radu, Elyes Ahmed, Jan Martin Nordbotten

Publikováno v: Computer Methods in Applied Mechanics and Engineering. 347:264-294

This paper is concerned with the analysis of coupled mixed finite element methods applied to the Biot’s consolidation model. We consider two mixed formulations that use the stress tensor and Darcy velocity as primary variables as well as the displa

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::83e87fac74a4293f13ac92d3e2ece55a
https://doi.org/10.1016/j.cma.2018.12.016

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Robust Linear Domain Decomposition Schemes for Reduced Nonlinear Fracture Flow Models

Autor: Ana Budiša, Eirik Keilegavlen, Jan Martin Nordbotten, Florin Adrian Radu, Alessio Fumagalli, Elyes Ahmed

Publikováno v: SIAM Journal on Numerical Analysis

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 procedure, we reformulate

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abcff21ba67cb4c1993bb9e7d1c55490
https://hdl.handle.net/11250/2985571

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Space-time domain decomposition for two-phase flow between different rock types

Autor: Caroline Japhet, Elyes Ahmed, Michel Kern

Publikováno v: Computer Methods in Applied Mechanics and Engineering
Computer Methods in Applied Mechanics and Engineering, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩
Computer Methods in Applied Mechanics and Engineering, Elsevier, 2020, 371, pp.113294. ⟨10.1016/j.cma.2020.113294⟩

This paper is dedicated to Professor Mary F. Wheeler on the occasion of her 80thbirthday.The authors warmly thank Cl ément Cancès and Robert Eymard for enlightening discussions that helped usto carry out the proof of Theorem 4.1.; International aud

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c0a307353345b345d3a8b7acc42067fc
https://inria.hal.science/hal-02275690v3/file/nonlindiff.pdf

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Global–in–Time Domain Decomposition for a Nonlinear Diffusion Problem

Autor: Caroline Japhet, Michel Kern, Elyes Ahmed

Publikováno v: Lecture Notes in Computational Science and Engineering ISBN: 9783030567491

We study a simplified model for two–phase flow in porous media, where the medium is made of two (or more) different rock types. Each rock type is a subdomain with a distinct capillary pressure function so that the saturation becomes discontinuous a

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::6eb7ca895b7b50e57574d0e9e91458e9
https://doi.org/10.1007/978-3-030-56750-7_22

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Monolithic and splitting solution schemes for fully coupled quasi-static thermo-poroelasticity with nonlinear convective transport

Autor: Inga Berre, Mats Kirkesæther Brun, Florin Adrian Radu, Elyes Ahmed, Jan Martin Nordbotten

Publikováno v: Computers and Mathematics with Applications

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 of PDE’s, consisting of an

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::55ea7f3617d40a3ed93935f2f74e3bbf
https://hdl.handle.net/11250/3067249

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A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types

Autor: Sarah Ali Hassan, Martin Vohralík, Caroline Japhet, Elyes Ahmed, Michel Kern

Publikováno v: SMAI Journal of Computational Mathematics
SMAI Journal of Computational Mathematics, Société de Mathématiques Appliquées et Industrielles (SMAI), 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
SMAI Journal of Computational Mathematics, 2019, 5, pp.195-227. ⟨10.5802/smai-jcm.47⟩
The SMAI journal of computational mathematics

International audience We consider two-phase flow in a porous medium composed of two different rock types, so that the capillary pressure field is discontinuous at the interface between the rocks. This is a nonlinear and degenerate parabolic problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::3174ab613798ed352a7da8e44f475d7c
https://hal.inria.fr/hal-01540956v3/file/HALpaper.pdf

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The sub-Cauchy–Stokes problem: Solvability issues and Lagrange multiplier methods with artificial boundary conditions

Autor: Amel Ben Abda, Elyes Ahmed

Publikováno v: Journal of Computational and Applied Mathematics. 338:258-279

In contrast to the conventional Cauchy Stokes problems, in which the velocity and the stress force data are given on the accessible boundary, in the present paper, we reduce the accessible boundary data information and we consider a problem which dea

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::daa5320db48d5ce575d0b77aae468347
https://doi.org/10.1016/j.cam.2018.01.034

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Adaptive asynchronous time-stepping, stopping criteria, and a posteriori error estimates for fixed-stress iterative schemes for coupled poromechanics problems

Autor: Jan Martin Nordbotten, Florin Adrian Radu, Elyes Ahmed

Publikováno v: Journal of Computational and Applied Mathematics

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 we first solve the problem

Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::beeca4b4ff9a33852ae5115efb339f9c
http://arxiv.org/abs/1901.01206

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