A family of C⁰ finite elements for Kirchhoff plates I: Error analysis

2006/11/22 by L. Beirão da Veiga, da Veiga, L. Beirao, Jarkko Niiranen +3 · 1 citation
Engineering · #65N30 (Primary) #74K20 #74S05 (Secondary) #Advanced Numerical Methods in Computational Mathematics #Elasticity and Material Modeling #FOS: Mathematics #Numerical Analysis (math.NA) #Vibration and Dynamic Analysis

paper · pdf · doi:10.48550/arxiv.math/0611690

openalex publication_date 2006/11/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

A new finite element formulation for the Kirchhoff plate model is presented. The method is a displacement formulation with the deflection and the rotation vector as unknowns and it is based on ideas stemming from a stabilized method for the Reissner--Mindlin model and a method to treat a free boundary. Optimal a-priori and a-posteriori error estimates are derived.

Cited by

• Optimality of adaptive H(divdiv) mixed finite element methods for the Kirchhoff-Love plate bending problem

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