The two-grid stabilization of equal-order finite elements for the stokes equations

DOI10.1002/fld.2483zbMath1370.76087OpenAlexW2127780317MaRDI QIDQ2890942

Haibiao Zheng, Lina Song, Yan-ren Hou

Publication date: 12 June 2012

Published in: International Journal for Numerical Methods in Fluids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/fld.2483

zbMATH Keywords

inf-sup conditionoptimal error estimatepressure projectionequal-order finite element

Mathematics Subject Classification ID

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

Related Items (5)

A posteriori error estimates for the stabilization of low-order mixed finite elements for the Stokes problem ⋮ An FFT-based MAC scheme for Stokes equations with periodic boundary conditions and its application to elasticity problems ⋮ Local and parallel stabilized finite element methods based on two-grid discretizations for the Stokes equations ⋮ Recovery-based error estimator for stabilized finite element methods for the Stokes equation ⋮ Analysis of the stabilized element free Galerkin approximations to the Stokes equations

Cites Work

• A finite element formulation for the Stokes problem allowing equal velocity-pressure interpolation
• Stabilized finite element method for the transient Navier-Stokes equations based on a pressure gradient projection
• A stabilized finite element method based on two local Gauss integrations for the Stokes equations
• Towards multiscale functions: enriching finite element spaces with local but not bubble-like functions
• Least-squares methods for Stokes equations based on a discrete minus one inner product
• Local projection stabilization of equal order interpolation applied to the Stokes problem
• A Taxonomy of Consistently Stabilized Finite Element Methods for the Stokes Problem
• An Absolutely Stable Pressure-Poisson Stabilized Finite Element Method for the Stokes Equations
• A stabilized finite element method for the Stokes problem based on polynomial pressure projections
• Local Projection Stabilization for the Oseen Problem and its Interpretation as a Variational Multiscale Method
• Stabilization of Low-order Mixed Finite Elements for the Stokes Equations
• Stabilized Finite Element Methods Based on Multiscale Enrichment for the Stokes Problem
• A two-grid stabilization method for solving the steady-state Navier-Stokes equations
• A quadratic equal‐order stabilized method for Stokes problem based on two local Gauss integrations

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