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The extended/generalized finite element method: An overview of the method and its applications

✍ Scribed by Thomas-Peter Fries; Ted Belytschko

Publisher
John Wiley and Sons
Year
2010
Tongue
English
Weight
648 KB
Volume
84
Category
Article
ISSN
0029-5981

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πŸ“œ SIMILAR VOLUMES

The extended/generalized finite element
The extended/generalized finite element method: An overview of the method and its applications
✍ Thomas-Peter Fries; Ted Belytschko πŸ“‚ Article πŸ“… 2010 πŸ› John Wiley and Sons 🌐 English βš– 648 KB

## Abstract An overview of the extended/generalized finite element method (GEFM/XFEM) with emphasis on methodological issues is presented. This method enables the accurate approximation of solutions that involve jumps, kinks, singularities, and other locally non‐smooth features within elements. Thi

The generalized finite element method: a
The generalized finite element method: an example of its implementation and illustration of its performance
✍ T. Strouboulis; K. Copps; I. BabuΕ‘ka πŸ“‚ Article πŸ“… 2000 πŸ› John Wiley and Sons 🌐 English βš– 419 KB πŸ‘ 2 views

The generalized ΓΏnite element method (GFEM) was introduced in Reference [1] as a combination of the standard FEM and the partition of unity method. The standard mapped polynomial ΓΏnite element spaces are augmented by adding special functions which re ect the known information about the boundary valu

The extended finite element method (XFEM
The extended finite element method (XFEM) for solidification problems
✍ Jack Chessa; Patrick Smolinski; Ted Belytschko πŸ“‚ Article πŸ“… 2002 πŸ› John Wiley and Sons 🌐 English βš– 340 KB πŸ‘ 1 views

## Abstract An enriched finite element method for the multi‐dimensional Stefan problems is presented. In this method the standard finite element basis is enriched with a discontinuity in the derivative of the temperature normal to the interface. The approximation can then represent the phase interf

The extended finite element method in th
The extended finite element method in thermoelastic fracture mechanics
✍ Marc Duflot πŸ“‚ Article πŸ“… 2008 πŸ› John Wiley and Sons 🌐 English βš– 493 KB

## Abstract The extended finite element method (XFEM) is applied to the simulation of thermally stressed, cracked solids. Both thermal and mechanical fields are enriched in the XFEM way in order to represent discontinuous temperature, heat flux, displacement, and traction across the crack surface,

Optimal convergence analysis for the ext
Optimal convergence analysis for the extended finite element method
✍ Serge Nicaise; Yves Renard; Elie Chahine πŸ“‚ Article πŸ“… 2011 πŸ› John Wiley and Sons 🌐 English βš– 378 KB πŸ‘ 1 views

## Abstract We establish some optimal __a priori__ error estimates on some variants of the eXtended Finite Element Method (Xfem), namely the Xfem with a cut‐off function and the standard Xfem with a fixed enrichment area. Both the LamΓ© system (homogeneous isotropic elasticity) and the Laplace probl