A Type of Finite Element Gradient Recovery Method based on Vertex-Edge-Face Interpolation: The Recovery Technique and Superconvergence Property

DOI10.4208/eajam.251210.250411azbMath1302.65253OpenAlexW2314717817MaRDI QIDQ5406897

Hehu Xie, Qun Lin

Publication date: 4 April 2014

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

Full work available at URL: https://doi.org/10.4208/eajam.251210.250411a

zbMATH Keywords

finite element methodsuperconvergencea posteriori error estimateleast-squares fittingvertex-edge-face interpolation

Mathematics Subject Classification ID

Numerical smoothing, curve fitting (65D10) 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)

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Cites Work

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• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• Asymptotically Exact A Posteriori Error Estimators, Part I: Grids with Superconvergence
• A Posteriori Error Estimates Based on the Polynomial Preserving Recovery
• A New Finite Element Gradient Recovery Method: Superconvergence Property
• Validation of the a posteriori error estimator based on polynomial preserving recovery for linear elements
• Convergence and superconvergence analysis of finite element methods on highly nonuniform anisotropic meshes for singularly perturbed reaction-diffusion problems