Superconvergence of tetrahedral quadratic finite elements for a variable coefficient elliptic equation

DOI10.1002/num.21744zbMath1307.65146OpenAlexW1999141301WikidataQ115398282 ScholiaQ115398282MaRDI QIDQ4929269

Gui Hu, Qiding Zhu, Jinghong Liu

Publication date: 13 June 2013

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/num.21744

zbMATH Keywords

superconvergenceerror estimatetetrahedral finite elementselliptic boundary value problemdiscrete derivative Green's function

Mathematics Subject Classification ID

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

Related Items (3)

\(L^\infty\)- and \(L^2\)-norms superconvergence of the tetrahedral quadratic finite element ⋮ Global \(L^2\) superconvergence of the tetrahedral quadratic finite element ⋮ Supercloseness of orthogonal projections onto nearby finite element spaces

Cites Work

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• An estimate for the three-dimensional discrete Green's function and applications
• Natural Superconvergence Points in Three-Dimensional Finite Elements
• Superconvergence and Reduced Integration in the Finite Element Method
• Pointwise superconvergence of the gradient for the linear tetrahedral element
• Gradient superconvergence on uniform simplicial partitions of polytopes
• Superconvergence in Finite Element Methods and Meshes That are Locally Symmetric with Respect to a Point
• Pointwise supercloseness of tensor‐product block finite elements
• Maximum‐norm superapproximation of the gradient for the trilinear block finite element

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