A unified treatment of superconvergent recovered gradient functions for piecewise linear finite element approximations

DOI10.1002/nme.1620270304zbMath0725.73083OpenAlexW1998776967WikidataQ56966991 ScholiaQ56966991MaRDI QIDQ5202700

J. R. Whiteman, G. Goodsell

Publication date: 1989

Published in: International Journal for Numerical Methods in Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/nme.1620270304

zbMATH Keywords

Dirichlet boundary conditionsverticesrectangular domainspiecewise linear finite element approximationsuniform triangular meshaveraging over adjacent elements.element edge mid-pointsgradients of F.E. approximationsroot mean square accuracy of \(O(h^ 2)\)two-dimensional Poisson problems

Mathematics Subject Classification ID

Finite element methods applied to problems in solid mechanics (74S05)

Related Items (10)

Validation of recipes for the recovery of stresses and derivatives by a computer-based approach ⋮ Superconvergence phenomena in the finite element method ⋮ \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles ⋮ Superconvergence of the effective Cauchy stress in computational homogenization of inelastic materials ⋮ An asymptotically exact finite element error estimator based on \(C^1\) stress recovery ⋮ Basic problems of a posteriori error estimation ⋮ Supraconvergent cell-centered scheme for two dimensional elliptic problems ⋮ A superconvergent linear FE approximation for the solution of an elliptic system of PDEs ⋮ Superconvergence results on mildly structured triangulations ⋮ Supercloseness of orthogonal projections onto nearby finite element spaces

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