The extended/generalized finite element method: An overview of the method and its applications
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. Copyright © 2010 John Wiley & Sons, Ltd.
Document Details
- Document Type
- Pub Defense Publication
- Publication Date
- Apr 23, 2010
- Source ID
- 10.1002/nme.2914
Entities
People
- Ted Belytschko
- Thomas‐peter Fries
Organizations
- Army Research Office
- German Research Foundation
- Office of Naval Research