New error estimates of nonconforming mixed finite element methods for the Stokes problem

DOI10.1002/mma.2849zbMath1314.65143OpenAlexW2140379737MaRDI QIDQ5415918

Shangyou Zhang, Shipeng Mao, Ming-Xia Li

Publication date: 19 May 2014

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.2849

zbMATH Keywords

convergenceerror estimatesconsistencyStokes problemnumerical testquasi-interpolation operatorsCrouzeix-Raviart finite elements

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) 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)

Related Items (6)

An interpolated Galerkin finite element method for the Poisson equation ⋮ Analysis of pressure-robust embedded-hybridized discontinuous Galerkin methods for the Stokes problem under minimal regularity ⋮ Error analysis of nonconforming virtual element method for Stokes problem with low regularity ⋮ Quasi-optimality of a pressure-robust nonconforming finite element method for the Stokes-problem ⋮ An optimal piecewise cubic nonconforming finite element scheme for the planar biharmonic equation on general triangulations ⋮ A stabilizer free WG method for the Stokes equations with order two superconvergence on polytopal mesh

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