The local superconvergence of the trilinear element for the three-dimensional Poisson problem

DOI10.1016/j.jmaa.2011.10.031zbMath1237.65115OpenAlexW1974101819MaRDI QIDQ663636

Xiao-Fei Guan, Wen-ming He, Jun-Zhi Cui

Publication date: 27 February 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.10.031

zbMATH Keywords

superconvergencePoisson equationintegral identitylocal symmetric techniquefinite element theory of Green's functiontrilinear element

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) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (6)

The highest superconvergence of the tri-linear element for Schrödinger operator with singularity ⋮ The local ultraconvergence for high-degree Galerkin finite element methods ⋮ Local pointwise convergence of the 3D finite element ⋮ Maximum-norms error estimates for high-order finite volume schemes over quadrilateral meshes ⋮ Ultraconvergence of high order FEMs for elliptic problems with variable coefficients ⋮ Locally pointwise superconvergence of the tensor-product finite element in three dimensions.

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