On superconvergence of isoparametric bilinear finite elements

DOI<849::AID-CNM25>3.0.CO;2-N 10.1002/(SICI)1099-0887(199612)12:12<849::AID-CNM25>3.0.CO;2-NzbMath0867.65054OpenAlexW1985142392MaRDI QIDQ3124087

Li-Kang Li, Lin Zhang

Publication date: 13 July 1997

Full work available at URL: https://doi.org/10.1002/(sici)1099-0887(199612)12:12<849::aid-cnm25>3.0.co;2-n

zbMATH Keywords

finite element methodelasticitysuperconvergencesecond order elliptic problemoptimal stress postprocess points

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Finite element methods applied to problems in solid mechanics (74S05) 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 (5)

Superconvergence and asymptotic expansion for semidiscrete bilinear finite volume element approximation of the parabolic problem ⋮ On the application of the method of difference potentials to linear elastic fracture mechanics ⋮ \(L^{2}\) error estimates and superconvergence of the finite volume element methods on quadrilateral meshes ⋮ Error estimates and adaptive finite element methods ⋮ Superconvergence and asymptotic expansions for bilinear finite volume element approximation on non-uniform grids

Cites Work

• Unnamed Item
• On superconvergence techniques
• Superconvergent derivatives: A Taylor series analysis
• Superconvergence and Reduced Integration in the Finite Element Method
• An auxiliary equation method for obtaining superconvergent finite-element approximations
• The superconvergent patch recovery anda posteriori error estimates. Part 1: The recovery technique
• A non-conforming element for stress analysis
• Superconvergence of the gradient of finite element solutions

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