A pressure-Poisson stabilized finite element method for the non-stationary Stokes equations to circumvent the inf-sup condition
DOI10.1016/j.amc.2006.03.030zbMath1119.65092OpenAlexW2039641837MaRDI QIDQ861068
Liquan Mei, Jian Li, Yin-Nian He
Publication date: 9 January 2007
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.03.030
stabilityconvergenceinf-sup conditionoptimal error estimatenon-stationary Stokes equationspenalty finite element methodpressure-Poisson stabilized method
Navier-Stokes equations (35Q30) Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Finite element, Rayleigh-Ritz and Galerkin methods for initial value and initial-boundary value problems involving PDEs (65M60) Error bounds for initial value and initial-boundary value problems involving PDEs (65M15)
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Cites Work
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- 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 new finite element formulation for computational fluid dynamics. VII. The Stokes problem with various well-posed boundary conditions: Symmetric formulations that converge for all velocity/pressure spaces
- Stabilized mixed methods for the Stokes problem
- Stabilized finite element methods. I.: Application to the advective- diffusive model
- An analysis of a mixed finite element method for the Navier-Stokes equations
- Nonlinear Galerkin methods and mixed finite elements: Two-grid algorithms for the Navier-Stokes equations
- A better consistency for low-order stabilized finite element methods
- Stabilized finite element methods for the velocity-pressure-stress formulation of incompressible flows
- Attractors for the Penalized Navier–Stokes Equations
- A Multigrid Version of a Simple Finite Element Method for the Stokes Problem
- An Absolutely Stabilized Finite Element Method for the Stokes Problem
- Perturbation of mixed variational problems. Application to mixed finite element methods
- Error Analysis of Galerkin Least Squares Methods for the Elasticity Equations
- Analysis of Locally Stabilized Mixed Finite Element Methods for 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
- Optimal error estimate of the penalty finite element method for the time-dependent Navier-Stokes equations
- On Error Estimates of the Penalty Method for Unsteady Navier–Stokes Equations
- Une méthode d'approximation de la solution des équations de Navier-Stokes