Asymptotically Exact Error Estimators for Rectangular Finite Elements

DOI10.1137/0729005zbMath0746.65076OpenAlexW2084384531MaRDI QIDQ3989437

Rodolfo Rodríguez, Ricardo G. Durán, María Amelia Muschietti

Publication date: 28 June 1992

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/0729005

zbMATH Keywords

finite elementsuperconvergencea posteriori error estimatesasymptotic rates of convergenceasymptotically exact error estimators

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (6)

\(\eta\%\)-superconvergence in the interior of locally refined meshes of quadrilaterals: Superconvergence of the gradient in finite element solutions of Laplace's and Poisson's equations ⋮ \(\eta\%\)-Superconvergence of finite element approximations in the interior of general meshes of triangles ⋮ Supercloseness and post-processing of finite element method in a balanced norm for singularly perturbed reaction-diffusion equation ⋮ A posteriori finite element method error estimates for fourth‐order problems ⋮ An asymptotically exact finite element error estimator based on \(C^1\) stress recovery ⋮ Error estimates and adaptive finite element methods

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