Stabilization arising from PGEM: A review and further developments

DOI10.1016/j.apnum.2008.12.004zbMath1165.76021OpenAlexW2156609537MaRDI QIDQ1030778

Gabriel R. Barrenechea, Frédéric Valentin, Leopoldo P. Franca, Rodolfo A. Araya

Publication date: 2 July 2009

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

Full work available at URL: http://hdl.handle.net/10533/140792

zbMATH Keywords

finite element methodsingularly perturbed problemgeneralized Stokes problemPetrov-Galerkin enriched method

Mathematics Subject Classification ID

Stokes and related (Oseen, etc.) flows (76D07) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items

A stabilizing augmented grid for rectangular discretizations of the convection-diffusion-reaction problems ⋮ Bridging the multiscale hybrid-mixed and multiscale hybrid high-order methods ⋮ Revisiting the robustness of the multiscale hybrid-mixed method: the face-based strategy ⋮ A Petrov-Galerkin multiscale hybrid-mixed method for the Darcy equation on polytopes ⋮ Foundations of the MHM Method ⋮ Numerical multiscale methods for a reaction-dominated model ⋮ Fully discrete finite element method based on pressure stabilization for the transient Stokes equations ⋮ Equal-order finite elements with local projection stabilization for the Darcy-brinkman equations ⋮ A residual local projection method for the Oseen equation ⋮ A two-level enriched finite element method for a mixed problem ⋮ A stabilised characteristic finite element method for transient Navier–Stokes equations

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