Analysis of some mixed elements for the Stokes problem

DOI10.1016/S0377-0427(97)00120-9zbMath0896.76035OpenAlexW1964360473MaRDI QIDQ1372714

Hong-ci Huang, Xiao-liang Cheng, Weimin Han

Publication date: 11 October 1998

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0377-0427(97)00120-9

zbMATH Keywords

optimal order error estimatesdegenerate casebilinear-constant and biquadratic-bilinear velocity-pressure finite element solutionsreduced integration penalty method

Mathematics Subject Classification ID

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

Related Items (4)

Analysis of the iterative penalty method for the Stokes equations ⋮ Stabilization of low-order cross-grid \(P_k Q_l\) mixed finite elements ⋮ The iterative penalty method for Stokes equations using \(Q_1-P_0\) element ⋮ Stable and unstable cross-grid \(P_kQ_l\) mixed finite elements for the Stokes problem

Cites Work

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• The finite element method with Lagrangian multipliers
• Analysis of Some Mixed Finite Element Methods for Plane Elasticity Equations
• Error Analysis of some Finite Element Methods for the Stokes Problem
• Perturbation of mixed variational problems. Application to mixed finite element methods
• Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
• Mixed and Hybrid Finite Element Methods

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