Space-time domain decomposition for two-phase flow between different rock types
type: Item
instance of: scholarly article
title: Space-time domain decomposition for two-phase flow between different rock types
zbMATH Open document ID: 1506.76162
author: Elyes Ahmed
author: Michel Kern
author: Caroline Japhet
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 2021-04-26T00:00:00Z
Mathematics Subject Classification ID: 76S05
Mathematics Subject Classification ID: 74F10
Mathematics Subject Classification ID: 74L10
zbMATH DE Number: 7337939
zbMATH Keywords: two-phase Darcy flow
zbMATH Keywords: discontinuous capillary pressure
zbMATH Keywords: spacetime domain decomposition method
zbMATH Keywords: optimized Schwarz waveform relaxation
zbMATH Keywords: nonlinear and discontinuous Robin transmission conditions
zbMATH Keywords: nonconforming time grids
describes a project that uses: MRST
describes a project that uses: Matlab
MaRDI profile type: Publication
full work available at URL: j.cma.2020.113294
OpenAlex ID: W2973490123
cites work: Numerical simulation of gas migration through engineered and geological barriers for a deep repository for radioactive waste
cites work: Homogenization of Immiscible Compressible Two-Phase Flow in Porous Media: Application to Gas Migration in a Nuclear Waste Repository
cites work: A two level scaling-up method for multiphase flow in porous media; numerical validation and comparison with other methods
cites work: Analysis of Oil Trapping in Porous Media Flow
cites work: Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
cites work: Quasilinear elliptic-parabolic differential equations
cites work: Finite volumes and nonlinear diffusion equations
cites work: Finite volume methods
cites work: Gradient schemes for two-phase flow in heterogeneous porous media and Richards equation
cites work: The gradient discretisation method
cites work: Rigorous Upscaling of Unsaturated Flow in Fractured Porous Media
cites work: Uniqueness of weak solutions for a pseudo-parabolic equation modeling two phase flow in porous media
cites work: Error estimates for a mixed finite element discretization of some degenerate parabolic equations
cites work: A robust, mass conservative scheme for two-phase flow in porous media including Hölder continuous nonlinearities
cites work: Q3740471
cites work: Degenerate two-phase incompressible flow. IV: Local refinement and domain decomposition
cites work: Degenerate two-phase incompressible flow. I. Existence, uniqueness and regularity of a weak solution
cites work: The existence of weak solutions to single porosity and simple dual-porosity models of two-phase incompressible flow
cites work: Mathematical Analysis for Reservoir Models
cites work: Homogenization of Degenerate Two-Phase Flow Equations with Oil Trapping
cites work: Existence of solutions to various rock types odel model of two-phase flow in porous media
cites work: Q4815566
cites work: On the structure of spectra of travelling waves
cites work: Nonlinear parabolic equations with spatial discontinuities
cites work: On the effects of discontinuous capillarities for immiscible two-phase flows in porous media made of several rock-types
cites work: Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
cites work: Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
cites work: Discontinuous Galerkin approximation of two-phase flows in heterogeneous porous media with discontinuous capillary pressures
cites work: Adaptive heterogeneous multiscale methods for immiscible two-phase flow in porous media
cites work: Two-phase flows involving capillary barriers in heterogeneous porous media
cites work: Q4370681
cites work: Q4801493
cites work: A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
cites work: A linear domain decomposition method for two-phase flow in porous media
cites work: A linear domain decomposition method for partially saturated flow in porous media
cites work: A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types
cites work: A homographic best approximation problem with application to optimized Schwarz waveform relaxation
cites work: Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
cites work: The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points
cites work: A Finite Volume Ventcell-Schwarz Algorithm for Advection-Diffusion Equations
cites work: A Discontinuous Coarse Space (DCS) Algorithm for Cell Centered Finite Volume Based Domain Decomposition Methods: The DCS-RJMin Algorithm
cites work: Q3484315
cites work: An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions
cites work: Optimized Schwarz Methods
cites work: Ventcell Conditions with Mixed Formulations for Flow in Porous Media
cites work: Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
cites work: A Parallel Robin–Robin Domain Decomposition Method for the Stokes–Darcy System
cites work: Robin–Robin Domain Decomposition Methods for the Stokes–Darcy Coupling
cites work: Stokes-Darcy equations. Analytic and numerical analysis
cites work: Design and analysis of a Schwarz coupling method for a dimensionally heterogeneous problem
cites work: Optimized Schwarz Waveform Relaxation and Discontinuous Galerkin Time Stepping for Heterogeneous Problems
cites work: Space-time domain decomposition for advection-diffusion problems in mixed formulations
cites work: Global-in-time domain decomposition for a nonlinear diffusion problem
cites work: An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
cites work: A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
cites work: Iterative linearisation schemes for doubly degenerate parabolic equations

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cites work: An Introduction to Domain Decomposition Methods

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cites work: A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations

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cites work: Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. II: The variable coefficients case

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cites work: Toward an optimized global-in-time Schwarz algorithm for diffusion equations with discontinuous and spatially variable coefficients. I: The constant coefficients case

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cites work: Q5301029

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cites work: A nonlinear time compactness result and applications to discretization of degenerate parabolic-elliptic PDEs

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cites work: Numerical analysis of a finite volume scheme for a seawater intrusion model with cross‐diffusion in an unconfined aquifer

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cites work: Numerical analysis of a nonlinearly stable and positive control volume finite element scheme for Richards equation with anisotropy

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cites work: Hele-Shaw type problems with dynamical boundary conditions

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Space-time domain decomposition for two-phase flow between different rock types (DOI)
DOI: 10.1016/J.CMA.2020.113294