On nonconforming an mixed finite element methods for plate bending problems. The linear case

DOI10.1051/m2an/1979130403691zbMath0425.35042OpenAlexW1427040759MaRDI QIDQ3860225

Rolf Rannacher

Publication date: 1979

Published in: RAIRO. Analyse numérique (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/193348

zbMATH Keywords

error estimatesfinite element methodnumerical solutiondisplacement methodfourth order elliptic boundary value problem

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)

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Cites Work

• A regularity result for the Stokes problem in a convex polygon
• Punktweise Konvergenz der Methode der finiten Elemente beim Plattenproblem
• Nonconforming finite element methods for eigenvalue problems in linear plate theory
• Zur Struktur der Gleichungen der Elastokinetik und Elastostabilität
• Optimal L ∞ Estimates for the Finite Element Method on Irregular Meshes
• A mixed method for 4th order problems using linear finite elements
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