Eine Aussage zur \(L_{\infty}\)-Stabilität und zur genauen Konvergenzordnung der \(H^ 1_ 0\)-Projektionen

DOI10.1007/BF01405570zbMath0575.65012MaRDI QIDQ1064006

Richard G. Haverkamp

Publication date: 1984

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/132944

zbMATH Keywords

stabilityerror estimatesexact order of convergencelinear finite element spaces

Mathematics Subject Classification ID

Numerical computation using splines (65D07) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Spline approximation (41A15)

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Cites Work

• Über die punktweise Konvergenz finiter Elemente
• Maximum principle and uniform convergence for the finite element method
• A Weak Discrete Maximum Principle and Stability of the Finite Element Method in L ∞ on Plane Polygonal Domains. I
• On the Quasi-Optimality in $L_\infty$ of the $\overset{\circ}{H}^1$-Projection into Finite Element Spaces*
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes