A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

DOI10.4208/aamm.OA-2016-0055zbMath1488.65452OpenAlexW2916470566WikidataQ128347414 ScholiaQ128347414MaRDI QIDQ5156564

Driss Yakoubi, Ajmia Younes Orfi

Publication date: 11 October 2021

Published in: Advances in Applied Mathematics and Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/aamm.oa-2016-0055

zbMATH Keywords

finite element discretizationaxisymmetric domainDarcy's equationsFourier truncation

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) 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 (1)

A posteriori error estimates of finite element method for the time-dependent Darcy problem in an axisymmetric domain

Uses Software

• FreeFem++

Cites Work

• Unnamed Item
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• A priori and a posteriori analysis of finite volume discretizations of Darcy's equations
• Variational discretization of elliptic boundary value problems.
• Finite element discretization of the time dependent axisymmetric Darcy problem
• DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS
• Finite Element Methods for Navier-Stokes Equations
• New development in freefem++
• ON A HIERARCHY OF APPROXIMATE MODELS FOR FLOWS OF INCOMPRESSIBLE FLUIDS THROUGH POROUS SOLIDS

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