Superconvergence of \(H(\operatorname{div})\) finite element approximations for the Stokes problem by local \(L^2\)-projection methods

DOI10.1016/J.CAM.2014.10.008zbMath1304.65236OpenAlexW1994238175MaRDI QIDQ475670

Rabeea Jari, Lin Mu

Publication date: 27 November 2014

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

Full work available at URL: https://doi.org/10.1016/j.cam.2014.10.008

zbMATH Keywords

finite element methodssuperconvergencenumerical experimentStokes equationslocal \(L^2\)-projection

Mathematics Subject Classification ID

Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Navier-Stokes equations (35Q30)

Cites Work

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• Superconvergence of mixed finite element methods on rectangular domains
• Superconvergence in Galerkin finite element methods
• Superconvergence of \(H(div)\) finite element approximations for the Stokes problem by \(L^2\)-projection methods
• The finite element method with Lagrangian multipliers
• New Finite Element Methods in Computational Fluid Dynamics by H(div) Elements
• Superconvergence of Finite Element Approximations for the Stokes Problem by Projection Methods
• Local Discontinuous Galerkin Methods for the Stokes System
• Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point

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