A New Post-Processing Technique for Finite Element Methods with $L^2$ -Superconvergence

DOI10.4208/EAJAM.170119.200519zbMath1468.65205OpenAlexW2999430585MaRDI QIDQ4986585

Hao Wang, Wei Pi, Xiaoping Xie

Publication date: 27 April 2021

Published in: East Asian Journal on Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4208/eajam.170119.200519

zbMATH Keywords

finite element methodpost-processingleast-square fitting\(L^2\)-superconvergence

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)

Cites Work

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• A new mixed formulation for elasticity
• The post-processing approach in the finite element method—part 1: Calculation of displacements, stresses and other higher derivatives of the displacements
• The post-processing approach in the finite element method—Part 2: The calculation of stress intensity factors
• Mixed and nonconforming finite element methods : implementation, postprocessing and error estimates
• The post-processing approach in the finite element method—Part 3:A posteriori error estimates and adaptive mesh selection
• PEERS: A new mixed finite element for plane elasticity
• Mixed and Hybrid Finite Element Methods
• A Local Post-Processing Technique for Improving the Accuracy in Mixed Finite-Element Approximations

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