Generalizing the finite element method: Diffuse approximation and diffuse elements |
| |
Authors: | B. Nayroles G. Touzot P. Villon |
| |
Affiliation: | (1) Institut de Mécanique de Grenoble, CNRS (UMR 101)-Université Joseph Fourier, Grenoble, France;(2) Université de Technologie de Compiègne-CNRS (D 6063)-Pôle de Modélisation Picardie, Compiègne, France;(3) Université de Technologie de Compiègne-CNRS (URA 817)-Pôle de Modélisation Picardie, Compiègne, France |
| |
Abstract: | 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 of the finite element approximation related to the regularity of approximated functions, and to mesh generation requirements. The diffuse approximation method may be used for generating smooth approximations of functions known at given sets of points and for accurately estimating their derivatives. It is useful as well for solving partial differential equations, leading to the so called diffuse element method (DEM), which presents several advantages compared to the finite element method (FEM), specially for evaluating the derivatives of the unknown functions. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|