On a residual local projection method for the Darcy equation

DOI10.1016/j.crma.2009.06.016zbMath1171.76026OpenAlexW2017195896MaRDI QIDQ841303

Christopher Harder, Frédéric Valentin, Leopoldo P. Franca

Publication date: 15 September 2009

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2009.06.016

zbMATH Keywords

linear equal-order finite elementsPetrov-Galerkin enriching space approach

Mathematics Subject Classification ID

Flows in porous media; filtration; seepage (76S05) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (6)

A family of Multiscale Hybrid-Mixed finite element methods for the Darcy equation with rough coefficients ⋮ Splitting extrapolation algorithms for solving the boundary integral equations of anisotropic Darcy's equation on polygons by mechanical quadrature methods ⋮ A stabilized finite element method for the Stokes-temperature coupled problem ⋮ An adaptive stabilized method for advection-diffusion-reaction equation ⋮ An adaptive stabilized finite element method for the Darcy's equations with pressure dependent viscosities ⋮ An adaptive multiscale hybrid-mixed method for the Oseen equations

Cites Work

• Consistent Local Projection Stabilized Finite Element Methods
• Mixed and Hybrid Finite Element Methods
• A stabilized finite element method for the Stokes problem based on polynomial pressure projections
• Pressure projection stabilizations for Galerkin approximations of Stokes' and Darcy's problem

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