Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties
type: Item
instance of: scholarly article
title: Curved finite elements of class \(C^ 1\): Implementation and numerical experiments. I: Construction and numerical tests of the interpolation properties
zbMATH Open document ID: 0783.73065
DOI: 10.1016/0045-7825(93)90192-Z
author: Michel Bernadou
author: Jean-Marie Boisserie
published in: Computer Methods in Applied Mechanics and Engineering
publication date: 1994-01-13T00:00:00Z
review text: The aim is to show how to implement some of the methods of curved finite elements of class \(C^ 1\). These methods use curved finite elements which are \(C^ 1\)-compatible with the Argyris triangle. A careful description of the implementation is completed by some numerical experiments which show the very high degree of accuracy of the associated interpolation.
Mathematics Subject Classification ID: 74S05
Mathematics Subject Classification ID: 65N30
zbMATH DE Number: 473252
zbMATH Keywords: \(C^ 1\)-compatibility
zbMATH Keywords: Argyris triangle
zbMATH Keywords: associated interpolation
describes a project that uses: Mathematica
MaRDI profile type: Publication
cites work: Q4693070
cites work: \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. I: Construction and interpolation properties of curved \({\mathcal C}^ 1\) finite elements
cites work: \({\mathcal C}^ 1\)-curved finite elements with numerical integration for thin plate and thin shell problems. II: Approximation of thin plate and thin shell problems
cites work: Q3890207
cites work: Q3126804
cites work: Q3823708
cites work: A newC1 finite element: Full heptic
cites work: Q3962599
cites work: Q3898173
full work available at URL: 0045-7825(93)90192-z
OpenAlex ID: W1994207546
description: scientific article; zbMATH DE number 473252