The iterative penalty method for Stokes equations using \(Q_1-P_0\) element

DOI10.1016/j.amc.2007.11.041zbMath1143.76032OpenAlexW2028421000MaRDI QIDQ945321

Xiaoxia Dai, Xiao-liang Cheng

Publication date: 12 September 2008

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

Full work available at URL: https://doi.org/10.1016/j.amc.2007.11.041

zbMATH Keywords

error estimatesinf-sup conditionbilinear-constant velocity-pressure 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)

Cites Work

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• 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
• Analysis of some mixed elements for the Stokes problem
• Analysis of the iterative penalty method for the Stokes equations
• Analysis of Some Mixed Finite Element Methods Related to Reduced Integration
• Mixed and Hybrid Finite Element Methods
• Equivalent Norms for Sobolev Spaces

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