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The extended/generalized finite element method: An overview of the method and its applications
Author(s) -
Fries ThomasPeter,
Belytschko Ted
Publication year - 2010
Publication title -
international journal for numerical methods in engineering
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.421
H-Index - 168
eISSN - 1097-0207
pISSN - 0029-5981
DOI - 10.1002/nme.2914
Subject(s) - extended finite element method , finite element method , gravitational singularity , space (punctuation) , mixed finite element method , element (criminal law) , polynomial , mathematics , shear (geology) , mathematical analysis , computer science , structural engineering , engineering , materials science , operating system , law , political science , composite material
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.