A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow

DOI10.1007/978-3-319-25727-3_2zbMath1427.76117OpenAlexW2485584789MaRDI QIDQ5207404

No author found.

Publication date: 20 December 2019

Published in: Lecture Notes in Computational Science and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-25727-3_2

zbMATH Keywords

Neumann boundary conditionmass conservation equationmixed finite elementerror indicatorposteriori error

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (7)

Numerical analysis of a stabilized scheme applied to incompressible elasticity problems with Dirichlet and with mixed boundary conditions ⋮ An A Posteriori Error Estimator for a Non Homogeneous Dirichlet Problem Considering a Dual Mixed Formulation ⋮ A note on a posteriori error analysis for dual mixed methods with mixed boundary conditions ⋮ Stabilization and a posteriori error analysis of a mixed FEM for convection-diffusion problems with mixed boundary conditions ⋮ Hierarchical basis in \(H^{\operatorname{div}}\) space for a mixed finite element formulation of the Darcy problem ⋮ New a posteriori error estimator for an stabilized mixed method applied to incompressible fluid flows ⋮ Linearization of the Travel Time Functional in Porous Media Flows

Cites Work

• Unnamed Item
• Unnamed Item
• Stokes, Maxwell and Darcy: a single finite element approximation for three model problems
• A posteriori error analysis of an augmented mixed finite element method for Darcy flow
• Design of adaptive finite element software. The finite element toolbox ALBERTA. With CD-ROM
• A stabilized mixed finite element method for Darcy flow
• A recursive approach to local mesh refinement in two and three dimensions
• Adaptive boundary element methods with convergence rates
• Unconditionally stable mixed finite element methods for Darcy flow
• Finite Element Methods for Navier-Stokes Equations
• Mixed and Hybrid Finite Element Methods
• A Supernodal Approach to Sparse Partial Pivoting

This page was built for publication: A Posteriori Error Estimation of a Stabilized Mixed Finite Element Method for Darcy Flow