Un schéma de volumes ou éléments finis adaptatif pour les équations de Darcy à perméabilité variable

DOI10.1016/S0764-4442(01)02071-7zbMath0996.65123OpenAlexW2085643672MaRDI QIDQ2767609

Yves Achdou, Christine Bernardi

Publication date: 3 July 2002

Published in: Comptes Rendus de l'Académie des Sciences - Series I - Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0764-4442(01)02071-7

zbMATH Keywords

error estimatesfinite elementfinite volume schemeDarcy's equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite volume methods applied to problems in fluid mechanics (76M12) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (8)

A priori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations ⋮ Residual and hierarchicalaposteriorierror estimates for nonconforming mixed finite element methods ⋮ Mortar finite element discretization of the time dependent nonlinear Darcy's equations ⋮ Mortar finite element discretization of a model coupling Darcy and Stokes equations ⋮ Mortar spectral element discretization of the Laplace and Darcy equations with discontinuous coefficients ⋮ A posteriori error analysis of the fully discretized time-dependent coupled Darcy and Stokes equations ⋮ Basics and some applications of the mortar element method ⋮ Mortar finite element discretization for the flow in a nonhomogeneous porous medium

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