DISCRETIZATION OF AN UNSTEADY FLOW THROUGH A POROUS SOLID MODELED BY DARCY'S EQUATIONS

DOI10.1142/S0218202508003303zbMath1157.76023MaRDI QIDQ3604163

Christine Bernardi, Kumbakonam R. Rajagopal, Vivette Girault

Publication date: 24 February 2009

Published in: Mathematical Models and Methods in Applied Sciences (Search for Journal in Brave)

zbMATH Keywords

finite elementsa posteriori error estimatesa priori error estimatesbackward Euler's scheme

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite difference methods applied to problems in fluid mechanics (76M20) 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 (12)

A stabilized mixed formulation for unsteady Brinkman equation based on the method of horizontal lines ⋮ A mixed discontinuous Galerkin method for an unsteady incompressible Darcy equation ⋮ Analysis of backward Euler/spectral discretization for an evolutionary mass and heat transfer in porous medium ⋮ Mortar finite element discretization of the time dependent nonlinear Darcy's equations ⋮ Spectral discretization of an unsteady flow through a porous solid ⋮ A posteriori error estimates of finite element method for the time-dependent Darcy problem in an axisymmetric domain ⋮ Numerical discretization of a Darcy-Forchheimer model ⋮ A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain ⋮ Finite element discretization of the time dependent axisymmetric Darcy problem ⋮ The onset of thermal convection in anisotropic and rotating bidisperse porous media ⋮ INCOMPRESSIBLE FLOWS THROUGH A SOLID MATRIX WITH MASS EXCHANGE: THE DOUBLE SCALE APPROACH VERSUS MIXTURE THEORY ⋮ Mortar finite element discretization for the flow in a nonhomogeneous porous medium

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