Local projection stabilized Galerkin approximations for the generalized Stokes problem

DOI10.1016/j.cma.2008.10.017zbMath1229.76054OpenAlexW1985207620MaRDI QIDQ658188

Kamel Nafa, Andrew J. Wathen

Publication date: 11 January 2012

Published in: Computer Methods in Applied Mechanics and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cma.2008.10.017

zbMATH Keywords

convergenceerror estimatesstabilized finite elementsgeneralized Stokes equationslocal projection

Mathematics Subject Classification ID

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

Related Items

Supercloseness and superconvergence of stabilized low-order finite element discretizations of the Stokes Problem, Robin-type domain decomposition with stabilized mixed approximation for incompressible flow, Acceleration of stabilized finite element discretizations for the Stokes eigenvalue problem, Meshless Galerkin analysis of the generalized Stokes problem, Local projection stabilized Galerkin approximations for the generalized Stokes problem, Equal order approximations enriched with bubbles for coupled Stokes-Darcy problem, Equal-order finite element approximation for mantle-melt transport, A recovery-based a posteriori error estimator for the generalized Stokes problem.

Cites Work

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• Local projection stabilized Galerkin approximations for the generalized Stokes problem
• A new finite element formulation for computational fluid dynamics. V: Circumventing the Babuška-Brezzi condition: A stable Petrov-Galerkin formulation of the Stokes problem accommodating equal-order interpolations
• A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
• A finite element pressure gradient stabilization for the Stokes equations based on local projections
• An unusual stabilized finite element method for a generalized Stokes problem
• Edge stabilization for the generalized Stokes problem: a continuous interior penalty method
• Stabilized finite element methods for the generalized Oseen problem
• Relationship between multiscale enrichment and stabilized finite element methods for the generalized Stokes problem
• Implementation of a stabilized finite element formulation for the incompressible Navier-Stokes equations based on a pressure gradient projection
• Local projection stabilization of equal order interpolation applied to the Stokes problem
• Continuous Interior Penalty Finite Element Method for Oseen's Equations
• A unified convergence analysis for local projection stabilisations applied to the Oseen problem
• Finite Element Methods for Navier-Stokes Equations
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• Analysis of Locally Stabilized Mixed Finite Element Methods for the Stokes Problem
• Mixed and Hybrid Finite Element Methods
• A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem
• A two-level pressure stabilization method for the generalized Stokes problem
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem