𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Parametric enrichment adaptivity by the extended finite element method

✍ Scribed by Haim Waisman; Ted Belytschko

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
526 KB
Volume
73
Category
Article
ISSN
0029-5981

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

An adaptive method within the extended finite element method (XFEM) framework which adapts the enrichment function locally to the physics of a problem, as opposed to polynomial or mesh refinement, is presented. The method minimizes a local residual and determines the parameters of the enrichment function. We consider an energy form and a β€˜strong’ form of the residual as error measures to drive the algorithm. Numerical examples for boundary layers and solid mechanics problems illustrate that the procedure converges. Moreover, when only the character of the solution is known, a good approximation is obtained in the area of interest. It is also shown that the method can be used to determine the order of singularities in solutions. Copyright Β© 2007 John Wiley & Sons, Ltd.

πŸ“œ SIMILAR VOLUMES

On error estimator and p-adaptivity in t
On error estimator and p-adaptivity in the generalized finite element method
✍ F. B. Barros; S. P. B. ProenΓ§a; C. S. de Barcellos πŸ“‚ Article πŸ“… 2004 πŸ› John Wiley and Sons 🌐 English βš– 323 KB πŸ‘ 1 views

## Abstract This paper addresses the issue of a p‐adaptive version of the generalized finite element method (GFEM). The technique adopted here is the equilibrated element residual method, but presented under the GFEM approach, i.e., by taking into account the typical nodal enrichment scheme of the