Second Order Convergence of the Interpolation based on-Element

DOI10.4208/NMTMA.2016.M1503zbMath1399.65026OpenAlexW2551183626MaRDI QIDQ5371798

Ruijian He, Xinlong Feng

Publication date: 20 October 2017

Published in: Numerical Mathematics: Theory, Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/nmtma.2016.m1503

zbMATH Keywords

integral averageinterpolation errornon-uniform mesh\(Q_1^c\)-finite elementtensor-product polynomial space

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) Numerical interpolation (65D05)

Related Items (3)

High accuracy nonconforming biharmonic element over n‐rectangular meshes ⋮ Superconvergence in \(H^1\)-norm of a difference finite element method for the heat equation in a 3D spatial domain with almost-uniform mesh ⋮ 𝐻¹-Superconvergence of a difference finite element method based on the 𝑃₁-𝑃₁-conforming element on non-uniform meshes for the 3D Poisson equation

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