A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types
DOI10.5802/smai-jcm.47zbMath1432.65130OpenAlexW2732088382MaRDI QIDQ2287385
Sarah Ali Hassan, Michel Kern, Elyes Ahmed, Martin Vohralík, Caroline Japhet
Publication date: 20 January 2020
Published in: SMAI Journal of Computational Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.5802/smai-jcm.47
stopping criterialinearizationdomain decomposition methoda posteriori error estimatefinite volume schemediscontinuous capillary pressuretwo-phase Darcy flowoptimized Schwarz waveform relaxationRobin and Ventcell transmission conditions
Nonlinear parabolic equations (35K55) Flows in porous media; filtration; seepage (76S05) Degenerate parabolic equations (35K65) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50) Finite volume methods for initial value and initial-boundary value problems involving PDEs (65M08)
Related Items
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A posteriori error estimates, stopping criteria, and adaptivity for multiphase compositional Darcy flows in porous media
- A strict error bound with separated contributions of the discretization and of the iterative solver in non-overlapping domain decomposition methods
- Open-source MATLAB implementation of consistent discretisations on complex grids
- Finite volume approximation for an immiscible two-phase flow in porous media with discontinuous capillary pressure
- Nonlinear parabolic equations with spatial discontinuities
- Inexact linear solvers for control volume discretizations in porous media
- Two-phase flows involving capillary barriers in heterogeneous porous media
- A posteriori error estimates, stopping criteria, and adaptivity for two-phase flows
- A posteriori stopping criteria for space-time domain decomposition for the heat equation in mixed formulations
- Stopping criteria for iterations in finite element methods
- Adaptive error control for multigrid finite element methods
- Schwarz waveform relaxation algorithms for semilinear reaction-diffusion equations
- A posteriori stopping criteria for optimized Schwarz domain decomposition algorithms in mixed formulations
- Sharp algebraic and total a posteriori error bounds for \(h\) and \(p\) finite elements via a multilevel approach. Recovering mass balance in any situation
- Global-in-time domain decomposition for a nonlinear diffusion problem
- A reduced fracture model for two-phase flow with different rock types
- A posteriori error estimates and stopping criteria for space-time domain decomposition for two-phase flow between different rock types
- A linear domain decomposition method for partially saturated flow in porous media
- A space-time domain decomposition approach using enhanced velocity mixed finite element method
- Estimating and localizing the algebraic and total numerical errors using flux reconstructions
- Auxiliary variables for 3D multiscale simulations in heterogeneous porous media
- Ventcell Conditions with Mixed Formulations for Flow in Porous Media
- Adaptive Inexact Newton Methods with A Posteriori Stopping Criteria for Nonlinear Diffusion PDEs
- An a posteriori error estimate for vertex-centered finite volume discretizations of immiscible incompressible two-phase flow
- Approximating the vanishing capillarity limit of two-phase flow in multi-dimensional heterogeneous porous medium
- The 2-Lagrange Multiplier Method Applied to Nonlinear Transmission Problems for the Richards Equation in Heterogeneous Soil with Cross Points
- A homographic best approximation problem with application to optimized Schwarz waveform relaxation
- A Posteriori Error Estimation Based on Potential and Flux Reconstruction for the Heat Equation
- A Finite Volume Ventcell–Schwarz Algorithm for Advection-Diffusion Equations
- A Posteriori Error Estimates Including Algebraic Error and Stopping Criteria for Iterative Solvers
- Finite volume scheme for two-phase flows in heterogeneous porous media involving capillary pressure discontinuities
- Analysis of Oil Trapping in Porous Media Flow
- Optimal Schwarz Waveform Relaxation for the One Dimensional Wave Equation
- A posteriori error estimation and adaptivity for degenerate parabolic problems
- Robust a Posteriori Error Control and Adaptivity for Multiscale, Multinumerics, and Mortar Coupling
- A Global Jacobian Method for Mortar Discretizations of a Fully Implicit Two-Phase Flow Model
- Space-Time Domain Decomposition Methods for Diffusion Problems in Mixed Formulations
- Numerical Approximation of a Two-phase Flow Problem in a Porous Medium with Discontinuous Capillary Forces
- Optimized Schwarz Methods
- Adaptive regularization, linearization, and discretization and a posteriori error control for the two-phase Stefan problem
- An optimized Schwarz waveform relaxation method for the unsteady convection diffusion equation in two dimensions