International journal for numerical methods in engineering, 2010-10, Vol.84 (3), p.253-304
2010
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Details
- Autor(en) / Beteiligte
- Titel
- The extended/generalized finite element method: An overview of the method and its applications
- Ist Teil von
- International journal for numerical methods in engineering, 2010-10, Vol.84 (3), p.253-304
- Ort / Verlag
- Chichester, UK: John Wiley & Sons, Ltd
- Erscheinungsjahr
- 2010
- Quelle
- Wiley Online Library - AutoHoldings Journals
- Beschreibungen/Notizen
- 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.
- Sprache
- Englisch
- Identifikatoren
- ISSN: 0029-5981, 1097-0207eISSN: 1097-0207DOI: 10.1002/nme.2914Titel-ID: cdi_proquest_miscellaneous_896206218
- Format
- –
- Schlagworte
- Approximation, Computer simulation, Condensed matter: structure, mechanical and thermal properties, Copyrights, Equations of state, phase equilibria, and phase transitions, Exact sciences and technology, extended finite element method, Finite element method, Fracture mechanics (crack, fatigue, damage...), Fundamental areas of phenomenology (including applications), generalized finite element method, GFEM, Mathematical analysis, Mathematical models, Mathematics, Methods of scientific computing (including symbolic computation, algebraic computation), Numerical analysis. Scientific computation, partition of unity method, Physics, PUM, review, Sciences and techniques of general use, Simulation, Solid mechanics, Solid-liquid transitions, Solidification, Specific phase transitions, Structural and continuum mechanics, XFEM