Accuracy analysis of the Adini element for biharmonic equation

DOI10.1007/S10114-004-0317-3zbMath1065.65129OpenAlexW2025288162MaRDI QIDQ1888709

Qun Lin, Ping Luo

Publication date: 26 November 2004

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-004-0317-3

zbMATH Keywords

error boundsbiharmonic equationDirichlet boundary value problemmesh refinementnonconformingAdini finite element

Mathematics Subject Classification ID

Boundary value problems for higher-order elliptic equations (35J40) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Mesh generation, refinement, and adaptive methods for boundary value problems involving PDEs (65N50)

Related Items (3)

Capacity of the Adini element for biharmonic equations ⋮ High accuracy analysis of a nonconforming rectangular finite element method for the Brinkman model ⋮ Superconvergence of both the Crouzeix-Raviart and Morley elements

Cites Work

• On superconvergence techniques
• Asymptotic error expansion and Richardson extrapolation for linear finite elements
• Extrapolation techniques for reducing the pollution effect of reentrant corners in the finite element method
• Finite element methods (Part 1)
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