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Generalizing the finite element method: Diffuse approximation and diffuse elements
This paper describes the new “diffuse approximation” method, which may be presented as a generalization of the widely used “finite element approximation” method. It removes some of the limitations ofExpand
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The Finite Element Method Displayed
Simplifies the teaching of the finite element method. Topics covered include: the approximation of continuous functions over sub-domains in terms of nodal values; interpolation functions forExpand
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L'approximation diffuse
On etudie la technique dite d'«approximation diffuse» sur laquelle est fondee la nouvelle «methode des elements diffuse» exposee dans une Note jumelle [1] a lire de preference avant celle-ci. OnExpand
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Double grid diffuse collocation method
Abstract In the present paper we propose a new method for constructing a second order Moving Least Squares (MLS) approximation. The method leads to shape functions which are then used for solvingExpand
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Explicit form and efficient computation of MLS shape functions and their derivatives
This work presents a general and efficient way of computing both diffuse and full derivatives of shape functions for meshless methods based on moving least-squares approximation (MLS) andExpand
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LA METHODE DES ELEMENTS DIFFUS
L'approximation diffuse est une nouvelle methode de reconstruction approchee d'un champ echantillonne: elle fournit une approximation reguliere de celui-ci et de ses gradients d'ordre arbitrairementExpand
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Intégration numérique de lois de comportement élastoplastique
ABSTRACT This paper presents some new integration algorithms for integration of elastoplastic constitutive laws. These algorithms are designed for use infinite element codes. In all methods presentedExpand
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