Gradient superconvergence post-processing of the tensor-product quadratic pentahedral finite element

DOI10.3934/dcdsb.2015.20.495zbMath1307.65147OpenAlexW2331392213MaRDI QIDQ489261

Yinsuo Jia, Jinghong Liu

Publication date: 20 January 2015

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2015.20.495

zbMATH Keywords

post-processingsuperclosenesssecond-order elliptic boundary value problempentahedral finite elementsuperconvergent patch recoverytensor-product quadratic interpolation

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) 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)

Related Items (1)

\(L^\infty\)- and \(L^2\)-norms superconvergence of the tetrahedral quadratic finite element

Cites Work

• Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. I.
• Superconvergence in Galerkin finite element methods
• Analysis of the superconvergent patch recovery technique and a posteriori error estimator in the finite element method. II
• Three-Dimensional Finite Element Superconvergent Gradient Recovery on Par6 Patterns
• A simple error estimator and adaptive procedure for practical engineerng analysis
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• The superconvergent patch recovery anda posteriori error estimates. Part 2: Error estimates and adaptivity
• Pointwise superconvergence of the gradient for the linear tetrahedral element
• Ultraconvergence of the patch recovery technique II
• Ultraconvergence of the patch recovery technique
• A New Finite Element Gradient Recovery Method: Superconvergence Property
• Estimation of Linear Functionals on Sobolev Spaces with Application to Fourier Transforms and Spline Interpolation
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