Estimates of the modeling error for the Kirchhoff-Love plate model

DOI10.1016/j.crma.2010.09.004zbMath1426.74203OpenAlexW1970813923WikidataQ110086109 ScholiaQ110086109MaRDI QIDQ710860

Stefan A. Sauter, Sergey I. Repin

Publication date: 22 October 2010

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.crma.2010.09.004

Mathematics Subject Classification ID

Classical linear elasticity (74B05) Plates (74K20) Numerical approximation of solutions of equilibrium problems in solid mechanics (74G15) Error bounds for boundary value problems involving PDEs (65N15)

Related Items (1)

A Posteriori Modeling Error Estimates for the Assumption of Perfect Incompressibility in the Navier--Stokes Equation

Cites Work

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• A posteriori estimates for partial differential equations
• Construction d'un modèle d'évolution de plaques avec terme d'inerte de rotation
• On asymptotically exact equations of thin plates of complex structure
• A justification of a nonlinear model in plate theory
• Herleitung der Plattentheorie aus der dreidimensionalen Elastizitätstheorie
• COMPUTABLE ESTIMATES OF THE MODELING ERROR RELATED TO KIRCHHOFF–LOVE PLATE MODEL
• Comparaison entre les modèles tridimensionnels et bidimensionnels de plaques en élasticité
• Asymptotic consistency of the polynomial approximation in the linearized plate theory

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