Continuous piecewise linear finite elements for the Kirchhoff-Love plate equation

DOI10.1007/s00211-011-0429-5zbMath1292.74043arXiv1503.06282OpenAlexW3122350689MaRDI QIDQ415511

Mats G. Larson, Karl Larsson

Publication date: 8 May 2012

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

Full work available at URL: https://arxiv.org/abs/1503.06282

zbMATH Keywords

discontinuous Galerkin methodsMorley reconstruction

Mathematics Subject Classification ID

Plates (74K20) Finite element methods applied to problems in solid mechanics (74S05) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30)

Related Items (4)

Vibration and stability analysis of thick orthotropic plates using hybrid-Trefftz elements ⋮ A Sequential Least Squares Method for Poisson Equation Using a Patch Reconstructed Space ⋮ A discontinuous Galerkin method by patch reconstruction for convection-diffusion-reaction problems over polytopic meshes ⋮ An arbitrary-order discontinuous Galerkin method with one unknown per element

Cites Work

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• A discontinuous Galerkin method for the plate equation
• On the boundary value problem of the biharmonic operator on domains with angular corners
• A simple class of finite elements for plate and shell problems. I: Elements for beams and thin flat plates
• A simple class of finite elements for plate and shell problems. II: An element for thin shells, with only translational degrees of freedom
• Rotation-free triangular plate and shell elements

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