A posteriori error estimates for the time-dependent convection-diffusion-reaction equation coupled with the Darcy system
From MaRDI portal
Publication:2116055
DOI10.1007/s11075-021-01152-3OpenAlexW3185639168MaRDI QIDQ2116055
Nancy Chalhoub, Rebecca El Zahlaniyeh, Pascal Omnes, Toni Sayah
Publication date: 16 March 2022
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-021-01152-3
finite element methodadaptive methodsa posteriori error estimatesconvection-diffusion-reaction equationDarcy's equations
Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65Mxx) Fluid mechanics (76-XX)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Residual flux-based a posteriori error estimates for finite volume and related locally conservative methods
- Guaranteed and robust discontinuous Galerkin a posteriori error estimates for convection-diffusion-reaction problems
- A stable finite element for the Stokes equations
- Finite element methods for Darcy's problem coupled with the heat equation
- Convergence analysis of a family of ELLAM schemes for a fully coupled model of miscible displacement in porous media
- Unified convergence analysis of numerical schemes for a miscible displacement problem
- Variational discretization of elliptic boundary value problems.
- Theory and practice of finite elements.
- On existence and uniqueness results for a coupled systems modeling miscible displacement in porous media
- A posteriori error estimate for the \(H(\operatorname{div})\) conforming mixed finite element for the coupled Darcy-Stokes system
- New numerical studies for Darcy's problem coupled with the heat equation
- Full discretization of time dependent convection-diffusion-reaction equation coupled with the Darcy system
- A simple a posteriori estimate on general polytopal meshes with applications to complex porous media flows
- Error estimators for a mixed method
- A Posteriori Error Estimates for Unsteady Convection–Diffusion–Reaction Problems and the Finite Volume Method
- A posteriori error estimate for the mixed finite element method
- Energy norm a posteriori error estimates for mixed finite element methods
- A mixed finite element method for Darcy’s equations with pressure dependent porosity
- A Posteriori Error Estimates for Lowest-Order Mixed Finite Element Discretizations of Convection-Diffusion-Reaction Equations
- Error Estimates for Adaptive Finite Element Computations
- Mathematical Analysis for Reservoir Models
- Spectral discretization of Darcy's equations coupled with the heat equation
- MODELING WELLS IN POROUS MEDIA FLOW
- New development in freefem++
- A posteriori error analysis of the time-dependent Stokes equations with mixed boundary conditions
- A posteriori error estimates for Darcy’s problem coupled with the heat equation
