A new second-order nonconforming mixed finite element scheme for the stationary Stokes and Navier-Stokes equations

DOI10.1016/j.amc.2008.10.058zbMath1158.76026OpenAlexW2050222573MaRDI QIDQ1002305

Jincheng Ren, Xiao-Bin Hao, Dong-Yang Shi

Publication date: 25 February 2009

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

Full work available at URL: https://doi.org/10.1016/j.amc.2008.10.058

zbMATH Keywords

optimal error estimatesbilinear elementrectangular element

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) 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 (6)

An anisotropic nonconforming finite element scheme with moving grids for parabolic integro-differential equations ⋮ Convergence and superconvergence analysis of a nonconforming finite element method for solving the Signorini problem ⋮ A class of nonconforming quadrilateral finite elements for incompressible flow ⋮ Low-order nonconforming mixed finite element methods for stationary incompressible magnetohydrodynamics equations ⋮ A superconvergent nonconforming mixed finite element method for the Navier-Stokes equations ⋮ Anisotropic nonconforming Crouzeix-Raviart type FEM for second-order elliptic problems

Cites Work

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• Equivalent Norms for Sobolev Spaces

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