A residual \textit{a posteriori} error estimators for a model for flow in porous media with fractures

DOI10.1007/s10915-018-0875-7zbMath1419.65096OpenAlexW2902196283WikidataQ128895547 ScholiaQ128895547MaRDI QIDQ2311993

Ilyas Naji, Zoubida Mghazli, Frederic Hecht, Jean Elizabeth Roberts

Publication date: 4 July 2019

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-018-0875-7

zbMATH Keywords

reduced modela posteriori error estimatemixed finite elementfractured porous media

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

\textit{A posteriori} error estimates for hierarchical mixed-dimensional elliptic equations ⋮ Intersecting fractures in porous media: mathematical and numerical analysis ⋮ Linearization of the Travel Time Functional in Porous Media Flows

Uses Software

• FreeFem++

Cites Work

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• A posteriori error analysis via post-processing for a model of flow in a fractured porous media
• Isotropic and anisotropic a posteriori error estimation of the mixed finite element method for second order operators in divergence form
• Some further approximation properties of Nédélec finite elements, aapplication to a posteriori analysis
• Mortar finite element discretization for the flow in a nonhomogeneous porous medium
• Dimensionally reduced flow models in fractured porous media: crossings and boundaries
• Variational discretization of elliptic boundary value problems.
• Low cost a posteriori error estimators for an augmented mixed FEM in linear elasticity
• A posteriori error estimates for mixed finite element approximations of elliptic problems
• Error estimators for a mixed method
• A Reduced Model for Flow and Transport in Fractured Porous Media with Non-matching Grids
• A reduced model for Darcy’s problem in networks of fractures
• A posteriori error estimate for the mixed finite element method
• Unified primal formulation-based a priori and a posteriori error analysis of mixed finite element methods
• Energy norm a posteriori error estimates for mixed finite element methods
• Finite Element Methods for Navier-Stokes Equations
• Error Estimates for Adaptive Finite Element Computations
• A comparison of a posteriori error estimators for mixed finite element discretizations by Raviart-Thomas elements
• Mixed Finite Element Methods and Applications
• New development in freefem++
• A Posteriori Error Estimators for the Raviart–Thomas Element
• Modeling Fractures and Barriers as Interfaces for Flow in Porous Media
• A Posteriori Error Estimates for the Mortar Mixed Finite Element Method

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