Affiliation:
1. Universidad Pública de Navarra
2. Universidad de Zaragoza
Abstract
In this work we propose a new algorithm to evaluate the basis functions of the Argyris finite element and their derivatives. The main novelty here is an efficient way to calculate the matrix which gives the change of coordinates between the bases of the Argyis element for the reference and for an arbitrary triangle. This matrix is factored as the product of two rectangular matrices with a strong block structure which makes their computation very easy. We show and comment on an implementation of this algorithm in Matlab. Two numerical experiments, an interpolation of a smooth function on a triangle and the finite-element solution of the Dirichlet problem for the biLaplacian, are presented in the last section to check the performance of our implementation.
Funder
FEDER/MCYT Projects MEC/FEDER
Publisher
Association for Computing Machinery (ACM)
Subject
Applied Mathematics,Software
Reference10 articles.
1. The TUBA Family of Plate Elements for the Matrix Displacement Method
2. A refined triangular plate bending finite element
3. Bernadou M. 1997. Méthodes d'Éléments Finis pour les Problèmes de Coques Minces. Dunod. Bernadou M. 1997. Méthodes d'Éléments Finis pour les Problèmes de Coques Minces . Dunod.
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