Analysis of the iterative penalty method for the Stokes equations

DOI10.1016/j.aml.2005.10.021zbMath1128.76032OpenAlexW2062509181MaRDI QIDQ2371102

Abdul Wasim Shaikh, Xiao-liang Cheng

Publication date: 29 June 2007

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

Full work available at URL: https://doi.org/10.1016/j.aml.2005.10.021

zbMATH Keywords

error estimatesstable computation

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Stokes and related (Oseen, etc.) flows (76D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Finite element methods applied to problems in fluid mechanics (76M10)

Related Items (13)

Iterative penalty methods for the steady Navier-Stokes equations ⋮ On reducing the splitting error in Yosida methods for the Navier-Stokes equations with Grad-div stabilization ⋮ The boundary penalty method for the diffusion equation subject to the specification of mass ⋮ Finite element approximation of the pure Neumann problem using the iterative penalty method ⋮ Shape optimization of Stokes flows by a penalty method ⋮ Error estimates of a two‐grid penalty finite element method for the Smagorinsky model ⋮ TWO-LEVEL ITERATION PENALTY AND VARIATIONAL MULTISCALE METHOD FOR STEADY INCOMPRESSIBLE FLOWS ⋮ The iterative penalty method for Stokes equations using \(Q_1-P_0\) element ⋮ Iteration penalty method for the incompressible Navier-Stokes equations with variable density based on the artificial compressible method ⋮ Two level penalty finite element methods for the stationary incompressible magnetohydrodynamics problem ⋮ Two-level iteration penalty methods for the Navier-Stokes equations with friction boundary conditions ⋮ Two-level iteration penalty methods for the incompressible flows ⋮ A penalty‐FEM for navier‐stokes type variational inequality with nonlinear damping term

Cites Work

• On the stability of bilinear-constant velocity-pressure finite elements
• Penalty approximation of Stokes flow
• Penalty-finite element methods for the analysis of Stokesian flows
• An analysis of a mixed finite element method for the Navier-Stokes equations
• Analysis of some mixed elements for the Stokes problem
• The finite element method with Lagrangian multipliers
• Error Analysis of some Finite Element Methods for the Stokes Problem
• Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
• Mixed and Hybrid Finite Element Methods
• A Modified Penalty Method for Stokes Equations and Its Applications to Navier–Stokes Equations
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