A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations

DOI10.1007/s40324-015-0058-5zbMath1383.76331OpenAlexW2223429006MaRDI QIDQ2629349

Christine Bernardi, Ajmia Younes Orfi

Publication date: 6 July 2016

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-015-0058-5

zbMATH Keywords

finite elementsStokes equationsa priori error analysisbackward Euler schemeDarcy equations

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10) 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 (2)

A second-order decoupled algorithm with different subdomain time steps for the non-stationary Stokes/Darcy model ⋮ A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations

Cites Work

• Long time stability of four methods for splitting the evolutionary Stokes-Darcy problem into Stokes and Darcy subproblems
• Coupled Stokes-Darcy model with Beavers-Joseph interface boundary condition
• Mortar finite element discretization for the flow in a nonhomogeneous porous medium
• Mixed finite elements in \(\mathbb{R}^3\)
• 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 unified stabilized method for Stokes' and Darcy's equations
• Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable
• 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
• Analysis of Long Time Stability and Errors of Two Partitioned Methods for Uncoupling Evolutionary Groundwater--Surface Water Flows
• Coupling Darcy and Stokes equations for porous media with cracks
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