The sharpness of a pointwise error bound in connection with linear finite elements

DOI10.1080/01630569708816777zbMath0894.65051OpenAlexW2001804809MaRDI QIDQ4385293

Steffen J. Goebbels

Publication date: 19 August 1998

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569708816777

zbMATH Keywords

error boundPoisson equationlinear finite element methods

Mathematics Subject Classification ID

Error bounds for boundary value problems involving PDEs (65N15) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items (3)

A sharp error estimate for numerical Fourier fransform of band-limited functions based on windowed samples ⋮ Error estimates and adaptive finite element methods ⋮ On the sharpness of an error bound for a Galerkin method to solve parabolic differential equations

Cites Work

• Eine Aussage zur \(L_{\infty}\)-Stabilität und zur genauen Konvergenzordnung der \(H^ 1_ 0\)-Projektionen
• The sharpness of a pointwise error bound for the Fejér-Hermite interpolation process on sets of positive measure
• Superconvergence in Galerkin finite element methods
• On the optimality of the pointwise accuracy of the finite element solution
• A resonance principle with rates in connection with pointwise estimates for the approximation by interpolation processes
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