What is the smallest possible constant in Céa's lemma?

DOI10.1007/s10492-006-0009-7zbMath1164.65495OpenAlexW2076465284WikidataQ124880878 ScholiaQ124880878MaRDI QIDQ954580

Wei Chen, Michal Křížek

Publication date: 24 November 2008

Published in: Applications of Mathematics (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/33248

zbMATH Keywords

numerical resultslower estimatesinterpolation errorsuperclosenessuniform partitionssecond order elliptic problems\(d\)-simplexLagrange finite elementsLagrange remainderlinear simplicial elements

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 (1)

Nonlinear finite elements: sub- and supersolutions for the heterogeneous logistic equation

Cites Work

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• 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
• Exact solution of certain problems by finite- element method.

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