A Decomposition Result for Kirchhoff Plate Bending Problems and a New Discretization Approach

DOI10.1137/17M1118427zbMath1397.65292arXiv1703.07962OpenAlexW2962795219WikidataQ129599416 ScholiaQ129599416MaRDI QIDQ4572029

Katharina Rafetseder, Walter Zulehner

Publication date: 4 July 2018

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1703.07962

zbMATH Keywords

mixed boundary conditionsfree boundarymixed methodsKirchhoff platesregular decomposition

Mathematics Subject Classification ID

Plates (74K20) Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs (65N30) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

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Cites Work

• Mathematical aspects of discontinuous Galerkin methods.
• A decomposition result for biharmonic problems and the Hellan-Herrmann-Johnson method
• A family of \(C^{0}\) finite elements for Kirchhoff plates. II: Numerical results
• On mixed finite element methods in plate bending analysis. I: The first Herrmann scheme
• An analysis of the TDNNS method using natural norms
• On the convergence of a mixed finite-element method for plate bending problems
• Convergence of an Adaptive Mixed Finite Element Method for Kirchhoff Plate Bending Problems
• TANGENTIAL-DISPLACEMENT AND NORMAL–NORMAL-STRESS CONTINUOUS MIXED FINITE ELEMENTS FOR ELASTICITY
• A Family of ${C}^0$ Finite Elements For Kirchhoff Plates I: Error Analysis
• Direct Methods in the Theory of Elliptic Equations
• Analysis of Mixed Methods Using Mesh Dependent Norms
• Isogeometric Analysis
• Mathematical analysis of variational isogeometric methods
• Mixed Finite Element Methods and Applications
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