Superconvergence of recovered gradients of piecewise quadratic finite element approximations. Part I: L2‐error estimates

DOI10.1002/num.1690070106zbMath0721.65063OpenAlexW4236113016MaRDI QIDQ5753465

G. Goodsell, J. R. Whiteman

Publication date: 1991

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

Full work available at URL: https://doi.org/10.1002/num.1690070106

zbMATH Keywords

Sobolev spaceerror estimatessuperconvergencestrongly elliptic operatorGalerkin solutionDirichlet-Neumann boundary conditionstriangular finite elementspiecewise quadratic finite element approximationsrecovered gradient of Andreev-Lazarov type

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Classical linear elasticity (74B05) 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 (8)

Superconvergence phenomena in the finite element method ⋮ How to recover the gradient of linear elements on nonuniform triangulations ⋮ \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles ⋮ The superconvergent cluster recovery method ⋮ High order compact schemes for gradient approximation ⋮ Computer-based proof of the existence of superconvergence points in the finite element method; superconvergence of the derivatives in finite element solutions of Laplace's, Poisson's, and the elasticity equations ⋮ Error estimates and adaptive finite element methods ⋮ A superconvergent method for approximating the bending moment of elastic beams with hysteresis damping

Cites Work

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