A composite penalty method of a low order anisotropic nonconforming finite element for the Stokes problem

DOI10.1007/S11766-013-2769-7zbMath1289.76056OpenAlexW1972801157MaRDI QIDQ377935

Xiuzhi Xing, Jingzhu Wu, Dong-Yang Shi

Publication date: 19 November 2013

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-013-2769-7

zbMATH Keywords

convergencesuperconvergenceStokes problemanisotropic meshcomposite penalty methodnonconforming quadrilateral finite element

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 (1)

A new nonconforming mixed finite element scheme for second order eigenvalue problem

Cites Work

• A new stable second order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations
• A new nonconforming mixed finite element scheme for the stationary Navier-Stokes equations
• A penalty finite volume method for the transient Navier-Stokes equations
• Nonconforming mixed finite element approximation to the stationary Navier-Stokes equations on anisotropic meshes
• Nonconforming finite element penalty method for Stokes equation
• Locally Stabilized Finite Element Method for Stokes Problem with Nonlinear Slip Boundary Conditions
• Analysis of Some Finite Elements for the Stokes Problem
• An Absolutely Stabilized Finite Element Method for the Stokes Problem
• A Penalty and Extrapolation Method for the Stationary Stokes Equations
• An Analysis of the Finite Element Method Using Lagrange Multipliers for the Stationary Stokes Equations
• A Modified Penalty Method for Stokes Equations and Its Applications to Navier–Stokes Equations
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