A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations
DOI10.1016/j.camwa.2018.04.021zbMath1419.65053OpenAlexW2804599436MaRDI QIDQ2001680
Ajmia Younes Orfi, Christine Bernardi
Publication date: 11 July 2019
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.04.021
Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
Related Items (5)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
- Analysis of a discontinuous finite element method for the coupled Stokes and Darcy problems
- The finite element method for parabolic equations. I. A posteriori error estimation
- The finite element method for parabolic equations. II. A posteriori error estimation and adaptive approach
- A strongly conservative finite element method for the coupling of Stokes and Darcy flow
- Mortar finite element discretization for the flow in a nonhomogeneous porous medium
- Mixed finite elements in \(\mathbb{R}^3\)
- A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
- Mathematical and numerical models for coupling surface and groundwater flows
- Variational discretization of elliptic boundary value problems.
- The mortar finite element method with Lagrange multipliers
- A posteriori error estimate for the \(H(\operatorname{div})\) conforming mixed finite element for the coupled Darcy-Stokes system
- A unified stabilized method for Stokes' and Darcy's equations
- A unifying theory of a posteriori error control for nonconforming finite element methods
- A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations
- Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable
- Analysis of fully-mixed finite element methods for the Stokes-Darcy coupled problem
- Adaptive Finite Element Methods for Parabolic Problems I: A Linear Model Problem
- An a Posteriori Error Estimate and Adaptive Timestep Control for a Backward Euler Discretization of a Parabolic Problem
- Mortar finite element discretization of a model coupling Darcy and Stokes equations
- A conforming mixed finite-element method for the coupling of fluid flow with porous media flow
- Basics and some applications of the mortar element method
- Analysis of Some Finite Elements for the Stokes Problem
- Finite Element Methods for Navier-Stokes Equations
- Old and new finite elements for incompressible flows
- Coupling Fluid Flow with Porous Media Flow
- Locally Conservative Coupling of Stokes and Darcy Flows
- A posteriori analysis of the finite element discretization of some parabolic equations
- Adaptive Finite Element Methods for Parabolic Problems IV: Nonlinear Problems
- Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
- A Posteriori Error Estimators for the Raviart–Thomas Element
- Coupling Darcy and Stokes equations for porous media with cracks
This page was built for publication: A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations