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. This is achieved by enriching the polynomial approximation space of the classical finite element method. The GEFM/XFEM has shown its potential in a variety of applications that involve non-smooth solutions near interfaces: Among them are the simulation of cracks, shear bands, dislocations, solidification, and multi-field problems.
| Original language | English |
|---|---|
| Pages (from-to) | 253-304 |
| Number of pages | 52 |
| Journal | International Journal for Numerical Methods in Engineering |
| Volume | 84 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 15 Oct 2010 |
Keywords
- Extended finite element method
- Generalized finite element method
- GFEM
- Partition of unity method
- PUM
- Review
- XFEM
ASJC Scopus subject areas
- Engineering(all)
- Applied Mathematics
- Numerical Analysis